{"id":58566,"date":"2025-04-15T20:11:59","date_gmt":"2025-04-15T12:11:59","guid":{"rendered":"https:\/\/swarma.org\/?p=58566"},"modified":"2025-04-15T20:11:59","modified_gmt":"2025-04-15T12:11:59","slug":"%e5%90%88%e4%bd%9c%e7%9a%84%e5%af%86%e7%a0%81%ef%bc%9a%e4%bb%8e%e8%87%aa%e7%a7%81%e5%9f%ba%e5%9b%a0%e5%88%b0%e7%be%a4%e4%bd%93%e6%99%ba%e6%85%a7","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=58566","title":{"rendered":"\u5408\u4f5c\u7684\u5bc6\u7801\uff1a\u4ece\u81ea\u79c1\u57fa\u56e0\u5230\u7fa4\u4f53\u667a\u6167"},"content":{"rendered":"<div class='wxsyncmain'>\n<section data-mpa-powered-by=\"yiban.io\" data-pm-slice=\"0 0 []\">\n<section>\n<section style=\"text-align: right\">\n<section data-mpa-powered-by=\"yiban.io\" style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px;font-family: PingFangSC-light;font-size: 15px\" data-pm-slice=\"0 0 []\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px;vertical-align: top\">\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\">\n<section style=\"text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"1\" data-s=\"300,640\" data-type=\"png\" data-w=\"1024\" style=\"width: 100%;height: auto !important\" data-backw=\"578\" data-backh=\"578\" data-galleryid=\"615662437852585984\" data-gallerysupplier=\"100\" data-imgfileid=\"100227856\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-df5381f3d9a0e691b7c5cc17dc89ada0.png\" \/><\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px\">\n<section style=\"margin: 0px;padding: 0px 3px 0px 0px;max-width: 100%;float: left;line-height: 1\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;text-align: left\">\n<section style=\"margin: 0px;padding: 0px 0px 0px 10px;max-width: 100%;width: auto;vertical-align: top;min-width: 10%;height: auto;line-height: 0\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 25px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><span><br \/><\/span><\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;text-align: justify;font-size: 16px;line-height: 1.5\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span>\u5bfc\u8bed<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 24px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px 4px;max-width: 100%;clear: right;min-height: 4.5em !important\">\n<section style=\"margin: 5px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px 8px;max-width: 100%;font-size: 13px;line-height: 2;letter-spacing: 0.544px\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em;line-height: 2em;text-align: justify\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\"><span>\u5408\u4f5c\u4e3a\u4f55\u65e0\u5904\u4e0d\u5728\uff1f\u4ece\u72fc\u7fa4\u56f4\u730e\u5230\u56fd\u9645\u51cf\u6392\uff0c\u4ece\u5730\u94c1\u6392\u961f\u5230\u5f00\u6e90\u793e\u533a\uff0c\u81ea\u79c1\u7684\u672c\u80fd\u4f3c\u4e4e\u96be\u4ee5\u963b\u6321\u96c6\u4f53\u4ed8\u51fa\u7684\u811a\u6b65\u3002\u5728\u8ffd\u9010\u4e2a\u4eba\u5229\u76ca\u7684\u4e16\u754c\u91cc\uff0c\u4e2a\u4f53\u4e3a\u4f55\u7518\u613f\u4e3a\u7fa4\u4f53\u51fa\u529b\uff1f\u6f14\u5316\u535a\u5f08\u7406\u8bba\u6b63\u5982\u4e00\u628a\u94a5\u5319\uff0c\u5e2e\u52a9\u7814\u7a76\u4eba\u5458\u7834\u89e3\u8fd9\u4e00\u53e4\u8001\u6096\u8bba\u3002\u7f8e\u56fd\u6570\u7406\u751f\u7269\u5b66\u5bb6 Martin Nowak \u521b\u59cb\u6027\u5730\u5229\u7528\u5176\u63ed\u793a\u4e86\u7fa4\u4f53\u5408\u4f5c\u7684\u5965\u79d8\uff0c\u5176\u6210\u679c\u520a\u767b\u5728\u300aScience\u300b\u4e0a\uff0c\u5e76\u5728\u5b66\u672f\u754c\u5f15\u8d77\u4e86\u5f3a\u70c8\u53cd\u54cd\u3002\u5982\u4eca\uff0c\u8fd9\u4e00\u7814\u7a76\u9886\u57df\u4ecd\u5728\u4e0d\u65ad\u62d3\u5c55\uff0c\u5176\u610f\u4e49\u8fdc\u8d85\u5355\u7eaf\u89e3\u91ca\u751f\u7269\u884c\u4e3a\u3002\u91cd\u8981\u7684\u662f\uff0c\u6f14\u5316\u535a\u5f08\u7406\u8bba\u4e0d\u4ec5\u7167\u4eae\u4e86\u7fa4\u4f53\u884c\u4e3a\u548c\u793e\u4f1a\u7ed3\u6784\u7684\u6df1\u5c42\u903b\u8f91\uff0c\u8fd8\u4e3a\u4eba\u5de5\u667a\u80fd\u3001\u5e73\u53f0\u6cbb\u7406\u4e43\u81f3\u5927\u56fd\u535a\u5f08\u7b49\u524d\u6cbf\u9886\u57df\u63d0\u4f9b\u4e86\u79d1\u5b66\u6307\u5f15\u3002<\/span><\/span><\/strong><\/p>\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em;line-height: 2em;text-align: justify\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\"><span><br \/><\/span><\/span><\/strong><\/p>\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em;line-height: 2em;text-align: justify\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\"><span>\u5173\u952e\u8bcd\uff1a\u6f14\u5316\u535a\u5f08\uff0c\u590d\u6742\u7cfb\u7edf\uff0c\u7fa4\u4f53\u884c\u4e3a\uff0c\u5f3a\u5316\u5b66\u4e60<\/span><\/span><\/strong><\/p>\n<\/section>\n<section style=\"margin: 0px;padding: 0px 8px;max-width: 100%;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><\/strong><\/section>\n<\/section>\n<section style=\"margin: 5px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px 8px;max-width: 100%;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><\/strong><\/section>\n<\/section>\n<section style=\"margin: 5px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px 8px;max-width: 100%;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><\/strong><\/section>\n<section style=\"margin: 0px;padding: 0px 8px;max-width: 100%;font-size: 13px;line-height: 2;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;line-height: 0\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 10px 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px;font-family: PingFangSC-light;font-size: 15px;text-align: center\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;vertical-align: middle;line-height: 0\"><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-ratio=\"0.07314814814814814\" data-type=\"other\" data-w=\"1080\" style=\"margin: 0px;padding: 0px;max-width: 100%;vertical-align: middle;width: 677px !important;height: auto !important\" data-fileid=\"100098753\" data-imgfileid=\"100227057\" src=\"\" \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: right\"><span style=\", Arial, sans-serif;font-size: 13px;letter-spacing: 0.544px\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;text-align: right; margin-top: 10px; margin-bottom: 10px; letter-spacing: 0.544px; color: rgb(63, 63, 63); font-family: PingFangSC-light; font-size: 15px; background-color: rgb(255, 255, 255); -webkit-tap-highlight-color: transparent; outline: 0px; vertical-align: middle; display: inline-block; line-height: 0; visibility: visible;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\u8c22\u51ef<span style=\"font-weight: bold\">\u4e28\u4f5c\u8005<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: right\"><span style=\", Arial, sans-serif;font-size: 13px;letter-spacing: 0.544px\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;margin-left: 8px; margin-right: 8px; margin-bottom: 0px; line-height: 1.75em; text-align: right;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\u5f20\u6c5f<span style=\"font-weight: bold\">\u4e28\u5ba1\u6821<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: right\"><span style=\", Arial, sans-serif;font-size: 13px;letter-spacing: 0.544px\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;text-align: right; margin-top: 10px; margin-bottom: 10px; letter-spacing: 0.544px; color: rgb(63, 63, 63); font-family: PingFangSC-light; font-size: 15px; background-color: rgb(255, 255, 255); -webkit-tap-highlight-color: transparent; outline: 0px; vertical-align: middle; display: inline-block; line-height: 0; visibility: visible;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>1.&nbsp;<\/span><span>\u201c\u6211\u5e2e\u4f60\uff0c\u4e0d\u662f\u56e0\u4e3a\u6211\u50bb\u201d\u2014\u2014\u5408\u4f5c\u7684\u6096\u8bba<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u4f60\u6709\u6ca1\u6709\u9047\u5230\u8fc7\u8fd9\u79cd\u60c5\u51b5\uff1a\u660e\u660e\u662f\u56e2\u961f\u4efb\u52a1\uff0c\u5927\u5bb6\u5374\u4e00\u5f00\u59cb\u90fd\u6309\u5175\u4e0d\u52a8\uff0c\u7b49\u7740\u6700\u540e\u51e0\u4e2a\u4eba\u71ac\u591c\u201c\u80cc\u9505\u201d\uff1b\u6216\u8005\u4f60\u4e00\u4e2a\u4eba\u7cbe\u5fc3\u7ef4\u62a4\u5171\u4eab\u6587\u6863\uff0c\u522b\u4eba\u5374\u4ece\u6765\u4e0d\u8865\u5145\u66f4\u65b0\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u4f60\u6216\u8bb8\u4e5f\u66fe\u542c\u8fc7\u8fd9\u6837\u7684\u611f\u6168\uff1a<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u201c\u6211\u8fd9\u4e48\u8bb2\u4e49\u6c14\uff0c\u7ed3\u679c\u8fd8\u4e0d\u662f\u88ab\u4eba\u5f53\u51a4\u5927\u5934\uff1f\u201d<\/span><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u4f46\u5947\u5999\u7684\u662f\uff0c\u5728\u5f88\u591a\u65f6\u5019\uff0c\u6211\u4eec\u786e\u5b9e\u8fd8\u662f\u4f1a\u9009\u62e9\u5408\u4f5c\u3002\u6bd4\u5982\u5730\u94c1\u4e0a\u81ea\u89c9\u6392\u961f\u3001\u91ce\u5916\u9732\u8425\u65f6\u5927\u5bb6\u8f6e\u6d41\u505a\u996d\uff0c\u751a\u81f3\u5927\u5230\u56fd\u9645\u7ec4\u7ec7\u4e2d\u7684\u51cf\u6392\u534f\u8bae\u3002\u5e76\u4e14\uff0c\u8fd9\u79cd\u73b0\u8c61\u5373\u4f7f\u5728\u751f\u7269\u754c\u4e5f\u5c61\u89c1\u4e0d\u9c9c\uff1a\u72fc\u7fa4\u5408\u4f5c\u56f4\u730e\u3001\u8682\u8681\u534f\u4f5c\u642c\u5bb6\u3001\u6d77\u8c5a\u96c6\u4f53\u8d76\u9c7c\u7b49\u3002\u53ef\u95ee\u9898\u662f\uff0c<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u5408\u4f5c\u610f\u5473\u7740\u8981\u4ed8\u51fa\u6210\u672c\uff0c\u800c\u6536\u76ca\u5f80\u5f80\u88ab\u522b\u4eba\u5171\u4eab\uff0c\u8fd9\u5230\u5e95\u503c\u4e0d\u503c\uff1f<\/span><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u4e2a\u95ee\u9898\u5176\u5b9e\u80cc\u540e\u85cf\u7740\u4e00\u4e2a\u53e4\u8001\u53c8\u73b0\u4ee3\u7684\u54f2\u5b66\u4e0e\u79d1\u5b66\u8c1c\u9898\uff1a<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u4e3a\u4ec0\u4e48\u5728\u81ea\u5229\u7684\u9a71\u52a8\u4e0b\uff0c\u6709\u4e9b\u4eba\uff08\u6216\u52a8\u7269\uff09\u5374\u4f9d\u7136\u613f\u610f\u4ed8\u51fa\uff1f\u6f14\u5316\u535a\u5f08\u7406\u8bba<\/span><span>\uff08<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>Evolutionary Game Theory, EGT\uff09<\/span><span>\u5c31\u662f\u4e3a\u4e86\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\u800c\u8bde\u751f\u7684\u2014\u2014\u6211\u4eec\u4eca\u5929\u8981\u804a\u7684\uff0c\u5c31\u662f\u5b83\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>2.&nbsp;<\/span><span>\u4ece\u535a\u5f08\u8bba\u5230\u8fbe\u5c14\u6587\uff1a\u6f14\u5316\u535a\u5f08\u5230\u5e95\u662f\u5565\uff1f<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u9996\u5148\u6765\u7834\u4e2a\u6897\uff1a<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u201c\u535a\u5f08\u201d\u4e0d\u53ea\u662f\u7535\u89c6\u5267\u91cc\u7684\u6743\u8c0b\u4e89\u6597\uff0c\u5b83\u662f\u4e00\u79cd\u7814\u7a76\u51b2\u7a81\u548c\u5408\u4f5c\u7684\u6570\u5b66\u65b9\u6cd5\u3002<\/span><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u4f20\u7edf\u535a\u5f08\u8bba<\/span><span>\uff08Game Theory\uff09<\/span><span>\u7531\u51af\u00b7\u8bfa\u4f9d\u66fc<\/span><span>\uff08Von Neumann)<\/span><span>&nbsp;[1]\u548c\u7ea6\u7ff0\u00b7\u798f\u5e03\u65af\u00b7\u7eb3\u4ec0<\/span><span>\uff08John Forbes Nash Jr)<\/span><span>&nbsp;[2]\u7b49\u4eba\u5960\u57fa\uff0c\u5047\u8bbe\u73a9\u5bb6\u90fd\u662f\u7406\u6027\u7684\uff0c\u5e76\u4e14\u8ffd\u6c42\u6536\u76ca\u6700\u5927\u5316\u3002\u7136\u800c\uff0c\u73b0\u5b9e\u4e2d\u6211\u4eec\u770b\u5230\u7684\u5f80\u5f80\u662f\uff1a<\/span><\/span><\/p>\n<ul style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u6709\u4eba\u7cca\u91cc\u7cca\u6d82\u53c2\u4e0e\u51b3\u7b56\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u6709\u4eba\u968f\u6ce2\u9010\u6d41\u770b\u522b\u4eba\u600e\u4e48\u9009\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u6709\u4eba\u5c31\u7b97\u5403\u4e8f\u4e5f\u613f\u610f\u201c\u505a\u597d\u4eba\u201d\u3002<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-bottom: 0px\"><span>&nbsp;&nbsp;<img class=\"rich_pages wxw-img\" data-ratio=\"1.454\" data-type=\"png\" data-w=\"500\" style=\"width: 144px;height: auto !important\" data-width=\"500\" data-height=\"727\" data-imgfileid=\"100227839\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-124fe28b838011d03f1e569688052243.png\" \/>&nbsp;<img class=\"rich_pages wxw-img\" data-ratio=\"1.4563318777292575\" data-type=\"png\" data-w=\"458\" style=\"width: 142px;height: auto !important\" data-width=\"458\" data-height=\"667\" data-imgfileid=\"100227840\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-f58da13f8fe95c59a486e9337101e513.png\" \/><\/span><\/section>\n<p style=\"line-height: 1.5em;margin-left: 8px;margin-right: 8px;text-align: left\"><span style=\"font-size: 13px\" data-mpa-action-id=\"m9hvo8pn158r\" data-pm-slice=\"0 0 []\"><span>Von Neumann\uff08\u5de6\uff09\uff0c\u6765\u6e90\uff1ahttps:\/\/en.wikipedia.org\/wiki\/John_von_Neumann\uff1bJohn Forbes Nash Jr\uff08\u53f3\uff09\uff0c\u6765\u6e90\uff1ahttps:\/\/en.wikipedia.org\/wiki\/John_Forbes_Nash_Jr.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u65f6\u5019\uff0c\u751f\u7269\u5b66\u7ad9\u4e86\u51fa\u6765\u3002<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u67e5\u5c14\u65af\u00b7\u7f57\u4f2f\u7279\u00b7\u8fbe\u5c14\u6587\uff08Charles Robert Darwin\uff09<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u7684\u201c\u81ea\u7136\u9009\u62e9\u201d\u66fe\u8bf4\uff1a\u884c\u4e3a\u662f\u5426\u5408\u7406\uff0c\u4e0d\u53d6\u51b3\u4e8e\u662f\u5426\u7406\u6027\uff0c\u800c\u5728\u4e8e\u662f\u5426\u80fd\u7559\u4e0b\u66f4\u591a\u540e\u4ee3\u3002\u57fa\u4e8e\u6b64\uff0c1973\u5e74\uff0c\u7ea6\u7ff0\u00b7\u6885\u7eb3\u5fb7\u00b7\u53f2\u5bc6\u65af<\/span><span>\uff08John Maynard Smith\uff09<\/span><span>\u548c\u4e54\u6cbb\u00b7\u666e\u83b1\u65af<\/span><span>\uff08George Price\uff09<\/span><span>\u5f00\u521b\u6027\u5730\u63d0\u51fa [3]\uff1a\u5982\u679c\u6211\u4eec\u628a\u201c\u7b56\u7565\u201d\u770b\u6210\u4e00\u79cd\u53ef\u9057\u4f20\u7684\u884c\u4e3a\u7279\u5f81\uff0c\u4e0d\u540c\u7b56\u7565\u5728\u7fa4\u4f53\u4e2d\u76f8\u4e92\u4f5c\u7528\u5e76\u968f\u65f6\u95f4\u6f14\u5316\uff0c\u5c31\u53ef\u4ee5\u7528\u535a\u5f08\u6a21\u578b\u6765\u7814\u7a76\u4eba\u7c7b\u548c\u52a8\u7269\u7684\u884c\u4e3a\uff0c\u751a\u81f3\u63a8\u6f14\u6587\u660e\u8fdb\u5316\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"1.4045454545454545\" data-type=\"png\" data-w=\"440\" style=\"width: 161px;height: auto !important\" data-width=\"440\" data-height=\"618\" data-imgfileid=\"100227838\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-8f52ba8bd023bbb6b2a1b7f9321035cb.png\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.5em;margin-left: 8px;margin-right: 8px;text-align: left\"><span style=\"font-size: 13px\" data-mpa-action-id=\"m9hvp3tdkjg\" data-pm-slice=\"0 0 []\"><span>Charles Robert Darwin\uff0c\u6765\u6e90\uff1ahttps:\/\/en.wikipedia.org\/wiki\/Charles_Darwin<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u5c31\u662f<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u6f14\u5316\u535a\u5f08\u8bba<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u3002\u5b83\u5047\u8bbe\u73a9\u5bb6\u4e0d\u4e00\u5b9a\u662f\u7406\u6027\u7684\uff0c\u800c\u662f\u5e26\u6709\u67d0\u79cd\u7b56\u7565\u503e\u5411\u7684\u201c\u4e2a\u4f53\u201d\uff1b\u7b56\u7565\u7684\u6210\u529f\u4e0d\u9760\u6df1\u601d\u719f\u8651\uff0c\u800c\u662f\u901a\u8fc7\u201c\u9002\u8005\u751f\u5b58\u201d\u539f\u5219\u5728\u7fa4\u4f53\u4e2d\u83b7\u5f97\u4f20\u64ad\u5e76\u7a33\u5b9a\u5b58\u5728\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e00\u4e2a\u7b56\u7565\u80fd\u5426\u80dc\u51fa\uff0c\u4e0d\u770b\u5b83\u7406\u8bba\u4e0a\u591a\u201c\u5b8c\u7f8e\u201d\uff0c\u800c\u770b\u5b83\u5728\u4e0e\u5176\u4ed6\u7b56\u7565\u7684\u8f83\u91cf\u4e2d\u80fd\u5426\u201c\u6d3b\u4e0b\u6765\u201d\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p data-pm-slice=\"0 0 []\" style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong><span style=\"font-size: 15px\"><span>\u5982\u4f55\u63cf\u8ff0\u8fd9\u79cd\u201c\u9002\u8005\u751f\u5b58\u201d\u7684\u8fc7\u7a0b\u5462\uff1f<\/span><\/span><\/strong><\/p>\n<p data-pm-slice=\"0 0 []\" style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong><span style=\"font-size: 15px\"><br \/><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u6f14\u5316\u535a\u5f08\u8bba\u5f15\u5165\u4e86\u4e00\u4e2a\u6838\u5fc3\u7684\u6570\u5b66\u6a21\u578b\u2014\u2014\u590d\u5236\u8005\u52a8\u6001\u65b9\u7a0b<\/span><span>\uff08Replicator Dynamics Equation\uff09<\/span><span>\u3002\u5b83\u63cf\u8ff0\u4e86\u7b56\u7565\u5982\u4f55\u968f\u65f6\u95f4\u53d8\u5316\uff0c\u5176\u57fa\u672c\u601d\u60f3\u975e\u5e38\u76f4\u89c2\uff1a\u5982\u679c\u4e00\u4e2a\u7b56\u7565\u7684\u5e73\u5747\u6536\u76ca<\/span><span>\uff08\u9002\u5e94\u5ea6\uff09<\/span><span>\u9ad8\u4e8e\u6574\u4e2a\u7fa4\u4f53\u7684\u5e73\u5747\u6536\u76ca\uff0c\u90a3\u4e48\u91c7\u7528\u8be5\u7b56\u7565\u7684\u4e2a\u4f53\u6bd4\u4f8b\u5c31\u4f1a\u589e\u52a0\uff1b\u53cd\u4e4b\uff0c\u5982\u679c\u4f4e\u4e8e\u5e73\u5747\u6536\u76ca\uff0c\u5219\u5176\u6bd4\u4f8b\u4f1a\u51cf\u5c11\u3002\u4f8b\u5982\uff0c\u5728\u4e00\u4e2a\u7b80\u5355\u7684\u53cc\u7b56\u7565<\/span><span>\uff08\u5982\u5408\u4f5c\u4e0e\u80cc\u53db\uff09<\/span><span>\u535a\u5f08\u6a21\u578b\u4e2d\uff0c\u5408\u4f5c\u8005\u6bd4\u4f8b\u7684\u53d8\u5316\u7387\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.14634146341463414\" data-s=\"300,640\" data-type=\"png\" data-w=\"738\" style=\"width:156px;height:23px\" data-imgfileid=\"100227885\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-bf0cbb8d430d52a0ba4666335368c778.png\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span data-meta-block-props=\"{&quot;blockId&quot;:&quot;e6c11310-0d67-4e35-a188-178baecb7dcb&quot;,&quot;blockType&quot;:&quot;EQUATION_BLOCK&quot;,&quot;initData&quot;:{},&quot;props&quot;:{&quot;data&quot;:{&quot;equation&quot;:&quot;dx\/dt = x * (\\Pi_C - \\overline{\\Pi})n&quot;},&quot;displayMode&quot;:&quot;inline&quot;,&quot;viewType&quot;:&quot;inline&quot;}}\"><span style=\"font-size: 15px\"><br \/><\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5176\u4e2d\uff0c<\/span><\/span><span data-meta-block-props=\"{&quot;blockId&quot;:&quot;c971bd76-f684-41d7-9fee-f61ef3adcea9&quot;,&quot;blockType&quot;:&quot;EQUATION_BLOCK&quot;,&quot;initData&quot;:{},&quot;props&quot;:{&quot;data&quot;:{&quot;equation&quot;:&quot;xn&quot;},&quot;displayMode&quot;:&quot;inline&quot;,&quot;viewType&quot;:&quot;inline&quot;}}\"><span style=\"font-size: 15px\"><span>x<\/span><\/span><\/span><span style=\"font-size: 15px\"><span>\u662f\u5408\u4f5c\u8005\u5728\u7fa4\u4f53\u4e2d\u7684\u6bd4\u4f8b\uff0c<\/span><\/span><span data-meta-block-props=\"{&quot;blockId&quot;:&quot;7110ff9e-2d87-4347-9432-e5208a6acdb7&quot;,&quot;blockType&quot;:&quot;EQUATION_BLOCK&quot;,&quot;initData&quot;:{},&quot;props&quot;:{&quot;data&quot;:{&quot;equation&quot;:&quot;\\Pi_Cn&quot;},&quot;displayMode&quot;:&quot;inline&quot;,&quot;viewType&quot;:&quot;inline&quot;}}\"><span style=\"font-size: 15px\"><span>\u220f<\/span><\/span><\/span><span style=\"font-size: 15px\" data-mpa-action-id=\"m9i7ja2t1ywx\" data-pm-slice=\"0 0 []\"><sub><span>C<\/span><\/sub><span><span>\u662f\u5408\u4f5c\u7b56\u7565\u7684\u5e73\u5747\u6536\u76ca\uff0c<\/span><\/span><\/span><span data-meta-block-props=\"{&quot;blockId&quot;:&quot;25f4159e-a869-468a-ad06-c254261efd4c&quot;,&quot;blockType&quot;:&quot;EQUATION_BLOCK&quot;,&quot;initData&quot;:{},&quot;props&quot;:{&quot;data&quot;:{&quot;equation&quot;:&quot;\\overline{\\Pi}nn&quot;},&quot;displayMode&quot;:&quot;inline&quot;,&quot;viewType&quot;:&quot;inline&quot;}}\"><sub data-pm-slice=\"0 0 []\"><span><img alt=\"image.png\" class=\"rich_pages wxw-img\" data-ratio=\"0.7547169811320755\" data-type=\"png\" data-w=\"106\" style=\"vertical-align:baseline;width:24px;height:20px\" width=\"29\" data-width=\"29px\" data-imgfileid=\"100227875\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-bc4d424b133d3f731641ee3e31fff036.png\" \/><\/span><\/sub><\/span><span style=\"font-size: 15px\"><span>\u662f\u6574\u4e2a\u7fa4\u4f53\u7684\u5e73\u5747\u6536\u76ca\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>\u5b83\u548c\u4f20\u7edf\u535a\u5f08\u8bba\u6700\u5927\u7684\u4e0d\u540c\u5728\u4e8e<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff1a\u73a9\u5bb6\u4e0d\u4e00\u5b9a\u7406\u6027\uff0c\u4f46\u201c\u8868\u73b0\u597d\u7684\u7b56\u7565\u201d\u4f1a\u81ea\u7136\u7559\u4e0b\u6765\uff0c\u201c\u4e0d\u9002\u5e94\u7684\u7b56\u7565\u201d\u88ab\u6dd8\u6c70\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u6709\u4eba\u4f1a\u5408\u4f5c\uff1f<\/span><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u6f14\u5316\u535a\u5f08\u8bba\u7684\u6838\u5fc3\u5728\u4e8e\u201c\u7b56\u7565\u7684\u6f14\u5316\u201d\u3002\u5728\u81ea\u79c1\u7684\u672c\u80fd\u9a71\u52a8\u4e0b\uff0c\u5408\u4f5c\u7b56\u7565\u4e4b\u6240\u4ee5\u80fd\u51fa\u73b0\uff0c\u662f\u56e0\u4e3a\u5b83\u5728\u67d0\u4e9b\u6761\u4ef6\u4e0b\u80fd\u5e26\u6765\u66f4\u9ad8\u7684\u751f\u5b58\u548c\u7e41\u884d\u4f18\u52bf\u3002\u6bd4\u5982\uff0c\u5e2e\u52a9\u4ed6\u4eba\u53ef\u80fd\u6362\u6765\u56de\u62a5\uff0c\u4ece\u800c\u5728\u7fa4\u4f53\u7ade\u4e89\u4e2d\u8ba9\u201c\u5408\u4f5c\u8005\u201d\u66f4\u6709\u751f\u5b58\u529b\u3002\u8fd9\u79cd\u201c\u81ea\u7136\u9009\u62e9\u4e0b\u7684\u5408\u4f5c\u201d\u4e0d\u4ec5\u89e3\u91ca\u4e86\u751f\u7269\u754c\u7684\u4e92\u52a9\u884c\u4e3a\uff0c\u4e5f\u4e3a\u4eba\u7c7b\u793e\u4f1a\u7684\u5408\u4f5c\u73b0\u8c61\u63d0\u4f9b\u4e86\u7ebf\u7d22\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>3.&nbsp;<\/span><span>\u201c\u5408\u5219\u4e24\u5229\u201d\u6ca1\u90a3\u4e48\u7b80\u5355\uff1a<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u5408\u4f5c\u6d8c\u73b0\u7684\u57fa\u7840\u673a\u5236<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u6211\u4eec\u73b0\u5728\u77e5\u9053\u4e86\uff1a\u6f14\u5316\u535a\u5f08\u80fd\u89e3\u91ca\u201c\u4e3a\u4ec0\u4e48\u6709\u4eba\u4f1a\u5408\u4f5c\u201d\u3002\u4f46\u771f\u6b63\u96be\u7684\uff0c\u662f\u56de\u7b54\u53e6\u4e00\u4e2a\u95ee\u9898\uff1a<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u5728\u4e0d\u5408\u4f5c\u66f4\u5bb9\u6613\u83b7\u5229\u7684\u60c5\u51b5\u4e0b\uff0c\u5408\u4f5c\u4e3a\u4ec0\u4e48\u8fd8\u80fd\u51fa\u73b0\u5e76\u7a33\u5b9a\u5b58\u5728\uff1f<\/span><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u5c31\u662f\u6f14\u5316\u535a\u5f08\u4e2d\u7684\u201c\u5408\u4f5c\u96be\u9898\u201d\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><span>\u7ecf\u5178\u4f8b\u5b50\uff1a\u516c\u5171\u7269\u54c1\u535a\u5f08<\/span><\/span><\/strong><\/span><\/h3>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/h3>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u60f3\u8c61\u4e00\u4e2a\u573a\u666f\uff1a\u6bcf\u4e2a\u4eba\u90fd\u80fd\u4e3a\u516c\u5171\u9879\u76ee\u51fa\u8d44<\/span><span>\uff08\u6bd4\u5982\u6751\u91cc\u4fee\u6c34\u4e95\uff09<\/span><span>\uff0c\u4f46\u4e5f\u53ef\u4ee5\u9009\u62e9\u4e0d\u51fa\u94b1\u5374\u4eab\u53d7\u6210\u679c\u3002<\/span><\/span><\/p>\n<ul style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u5927\u5bb6\u90fd\u51fa\u8d44\uff0c\u6c34\u4e95\u4fee\u6210\uff0c\u7686\u5927\u6b22\u559c\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u4f60\u5077\u61d2\u3001\u522b\u4eba\u51fa\u529b\uff0c\u4f60\u767d\u5360\u4fbf\u5b9c\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u5927\u5bb6\u90fd\u5077\u61d2\uff0c\u6c34\u4e95\u6ca1\u620f\u3002<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u5c31\u662f\u201c\u642d\u4fbf\u8f66\u201d\u95ee\u9898\uff0c\u4e5f\u662f\u6700\u96be\u89e3\u51b3\u7684\u5408\u4f5c\u969c\u788d\u4e4b\u4e00\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.6453703703703704\" data-type=\"png\" data-w=\"1080\" style=\"width: 492px;height: auto !important\" data-width=\"1587\" data-height=\"1024\" data-imgfileid=\"100227841\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-01d07b9b9e994c5d36c7e31eec6e7987.png\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: center\"><span style=\"font-size: 13px\" data-mpa-action-id=\"m9hvqjh4780\" data-pm-slice=\"0 0 []\"><span>\u6765\u6e90\uff1a\u4f5c\u8005\u521b\u4f5c<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><span>\u5408\u4f5c\u673a\u5236\u7684\u63a2\u7d22<\/span><\/span><\/strong><\/span><\/h3>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/h3>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u7814\u7a76\u8005\u53d1\u73b0\uff0c\u8981\u89e3\u51b3\u5408\u4f5c\u56f0\u5883\uff0c\u79bb\u4e0d\u5f00\u4e00\u4e9b\u5173\u952e\u673a\u5236\u3002\u7f8e\u56fd\u6570\u7406\u751f\u7269\u5b66\u5bb6\u9a6c\u4e01\u00b7\u8bfa\u74e6\u514b<\/span><span>\uff08Martin Nowak\uff09<\/span><span>\u63d0\u51fa\u7684\u4e94\u79cd\u673a\u5236\u4e3a\u4fc3\u8fdb\u5408\u4f5c\u7684\u6d8c\u73b0\u5960\u5b9a\u4e86\u57fa\u7840 [4]\uff1a<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.562\" data-type=\"png\" data-w=\"500\" style=\"width: 354px;height: auto !important\" data-width=\"500\" data-height=\"281\" data-imgfileid=\"100227837\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-e37c2db7f4e5986439905509c5dcfafe.png\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: left\"><span style=\"font-size: 13px\" data-mpa-action-id=\"m9hvqwkr1rat\" data-pm-slice=\"0 0 []\"><span>Martin Nowak\uff0c\u6765\u6e90\uff1ahttps:\/\/en.wikipedia.org\/wiki\/Martin_Nowak<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>1\uff09\u76f4\u63a5\u4e92\u60e0\uff08Direct reciprocity\uff09<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff1a\u6211\u5e2e\u4f60\u4e00\u6b21\uff0c\u4e0b\u6b21\u4f60\u4e5f\u8981\u5e2e\u6211\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u79cd\u673a\u5236\u4e5f\u88ab\u79f0\u4e3a\u201c\u4ee5\u7259\u8fd8\u7259\u201d\u3002\u5b83\u9002\u7528\u4e8e\u91cd\u590d\u4e92\u52a8\u7684\u573a\u666f\uff1a\u6211\u4eca\u5929\u5e2e\u4f60\uff0c\u671f\u5f85\u4f60\u660e\u5929\u56de\u62a5\uff1b\u4f60\u82e5\u5751\u6211\uff0c\u6211\u4e0b\u6b21\u5c31\u4e0d\u5e2e\u4f60\u3002\u8fd9\u79cd\u673a\u5236\u7b80\u5355\u9ad8\u6548\uff0c\u5efa\u7acb\u4e86\u4e00\u79cd\u201c\u53ef\u9884\u671f\u7684\u56de\u9988\u4f53\u7cfb\u201d\uff0c\u7279\u522b\u5728\u957f\u671f\u5173\u7cfb\uff08\u5982\u5408\u4f19\u521b\u4e1a\u3001\u79d1\u7814\u56e2\u961f\uff09\u4e2d\u80fd\u591f\u4fc3\u8fdb\u4fe1\u4efb\u4e0e\u5408\u4f5c\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>\u73b0\u5b9e\u6848\u4f8b<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff1a\u670b\u53cb\u4e4b\u95f4\u4e92\u8bf7\u5403\u996d\u3001\u90bb\u91cc\u4e4b\u95f4\u8f6e\u6d41\u7167\u770b\u5c0f\u5b69\uff0c\u8fd9\u4e9b\u90fd\u662f\u5178\u578b\u7684\u76f4\u63a5\u4e92\u60e0\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>2\uff09\u95f4\u63a5\u4e92\u60e0\uff08Indirect reciprocity\uff09<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff1a\u597d\u4eba\u51fa\u540d\uff0c\u5408\u4f5c\u66f4\u6613\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5982\u679c\u8bf4\u76f4\u63a5\u4e92\u60e0\u662f\u201c\u4f60\u5e2e\u6211\uff0c\u6211\u5e2e\u4f60\u201d\uff0c\u90a3\u95f4\u63a5\u4e92\u60e0\u5c31\u662f\u201c\u4f60\u5e2e\u4e86\u4ed6\uff0c\u6211\u613f\u610f\u5e2e\u4f60\u201d\u3002 \u8fd9\u5c31\u5f15\u5165\u4e86\u201c\u58f0\u8a89\u201d\u8fd9\u4e2a\u91cd\u8981\u4e2d\u4ecb\u3002\u4f60\u5e2e\u522b\u4eba\u7684\u884c\u4e3a\u88ab\u7b2c\u4e09\u65b9\u770b\u5230\u5e76\u8bb0\u4f4f\uff0c\u4ed6\u4eec\u4f1a\u8ba4\u4e3a\u4f60\u662f\u4e2a\u503c\u5f97\u5408\u4f5c\u7684\u4eba\uff0c\u4ece\u800c\u5728\u672a\u6765\u4e0e\u4f60\u5efa\u7acb\u5408\u4f5c\u5173\u7cfb\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>\u73b0\u5b9e\u6848\u4f8b\uff1a<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u6dd8\u5b9d\u5356\u5bb6\u9760\u201c\u4e94\u661f\u597d\u8bc4\u201d\u5438\u5f15\u987e\u5ba2\uff0c\u6c42\u804c\u8005\u9760\u63a8\u8350\u4fe1\u589e\u5f3a\u53ef\u4fe1\u5ea6\uff0c\u672c\u8d28\u4e0a\u90fd\u4f9d\u8d56\u4e8e\u95f4\u63a5\u4e92\u60e0\u7684\u4f20\u64ad\u529b\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>3\uff09\u7a7a\u95f4\u9009\u62e9\uff08Spatial Selection\uff09<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff1a\u719f\u4eba\u5708\u91cc\u5408\u4f5c\u66f4\u7a33\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u4eba\u7c7b\u793e\u4f1a\u4e0d\u662f\u5b8c\u5168\u5f00\u653e\u7684\uff0c\u800c\u662f\u7531\u5c0f\u5708\u5b50\u6784\u6210\u7684\u201c\u5173\u7cfb\u7f51\u201d\u3002\u5728\u8fd9\u6837\u7684\u5c0f\u5708\u5b50\u4e2d\uff0c\u5408\u4f5c\u66f4\u5bb9\u6613\u7ef4\u6301\u3002\u4e00\u65b9\u9762\uff0c\u4fe1\u606f\u4f20\u64ad\u66f4\u5feb\uff0c\u58f0\u8a89\u7684\u53cd\u9988\u66f4\u76f4\u63a5\uff1b\u53e6\u4e00\u65b9\u9762\uff0c\u80cc\u53db\u8005\u66f4\u96be\u201c\u6362\u9a6c\u7532\u201d\u3002\u7f51\u7edc\u7ed3\u6784\u4e0d\u4ec5\u5f71\u54cd\u5408\u4f5c\uff0c\u8fd8\u51b3\u5b9a\u5408\u4f5c\u662f\u201c\u661f\u706b\u71ce\u539f\u201d\u8fd8\u662f\u201c\u6084\u7136\u51cb\u96f6\u201d\u3002\u7814\u7a76\u663e\u793a\uff0c\u5728\u5c0f\u4e16\u754c\u7f51\u7edc\u3001\u5206\u5c42\u793e\u533a\u7b49\u7f51\u7edc\u7ed3\u6784\u4e2d\uff0c\u5408\u4f5c\u66f4\u6613\u6269\u6563\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>\u73b0\u5b9e\u6848\u4f8b\uff1a<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u516c\u53f8\u4e4b\u95f4\u8d38\u6613\u5f80\u6765\uff0c\u5f80\u5f80\u4f18\u5148\u9009\u62e9\u4e0e\u81ea\u5df1\u201c\u5173\u7cfb\u7f51\u201d\u4e2d\u7684\u4f01\u4e1a\u8fdb\u884c\u5408\u4f5c\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>4\uff09\u7fa4\u4f53\u9009\u62e9\uff08Group Selection\uff09<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff1a\u7fa4\u4f53\u7ade\u4e89\u4fc3\u5408\u4f5c\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u524d\u4e09\u79cd\u673a\u5236\u5173\u6ce8\u4e2a\u4f53\u95f4\u5408\u4f5c\uff0c\u800c\u7fa4\u4f53\u9009\u62e9\u7740\u773c\u4e8e\u7fa4\u4f53\u95f4\u7ade\u4e89\u3002\u5373\u4f7f\u4e2a\u4f53\u5c42\u9762\u5408\u4f5c\u5403\u4e8f\uff0c\u4f46\u5408\u4f5c\u7fa4\u4f53\u82e5\u5728\u7ade\u4e89\u4e2d\u66f4\u5f3a\u5927\uff0c\u8fd9\u79cd\u7b56\u7565\u5c31\u80fd\u5b58\u6d3b\u3002\u8fd9\u662f\u4e00\u79cd\u201c\u5b8f\u89c2\u6f14\u5316\u903b\u8f91\u201d\uff1a\u81ea\u79c1\u4e2a\u4f53\u53ef\u80fd\u77ed\u671f\u5360\u4f18\uff0c\u4f46\u5408\u4f5c\u7fa4\u4f53\u957f\u671f\u80dc\u51fa\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><span>\u73b0\u5b9e\u6848\u4f8b\uff1a<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u6297\u6218\u65f6\u671f\uff0c\u56e2\u7ed3\u534f\u4f5c\u7684\u6e38\u51fb\u961f\u5e38\u80fd\u51fb\u8d25\u4eba\u6570\u4f17\u591a\u5374\u65e0\u4fe1\u4efb\u7684\u519b\u9600\u90e8\u961f\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p data-pm-slice=\"0 0 []\" style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong><span style=\"font-size: 15px\"><span>5\uff09\u4eb2\u7f18\u9009\u62e9\uff08Kin Selection\uff09\uff1a<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u8840\u6d53\u4e8e\u6c34\u52a9\u5408\u4f5c\u3002<\/span><\/span><\/p>\n<p data-pm-slice=\"0 0 []\" style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5728\u4eb2\u7f18\u5173\u7cfb\u4e2d\uff0c\u4e2a\u4f53\u66f4\u613f\u5e2e\u52a9\u8840\u4eb2\uff0c\u5373\u4f7f\u727a\u7272\u81ea\u5df1\u5229\u76ca\u3002\u8fd9\u662f\u56e0\u4e3a\u5e2e\u52a9\u4eb2\u5c5e\u80fd\u589e\u52a0\u5171\u540c\u57fa\u56e0\u7684\u4f20\u64ad\u673a\u4f1a\u3002\u4eb2\u7f18\u9009\u62e9\u89e3\u91ca\u4e86\u5bb6\u5ead\u3001\u5bb6\u65cf\u6216\u90e8\u843d\u4e2d\u5408\u4f5c\u7684\u9ad8\u9891\u51fa\u73b0\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong><span style=\"font-size: 15px\"><span>\u73b0\u5b9e\u6848\u4f8b\uff1a<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u7236\u6bcd\u65e0\u79c1\u517b\u80b2\u5b50\u5973\u3001\u5144\u5f1f\u59d0\u59b9\u4e92\u52a9\uff0c\u90fd\u662f\u4eb2\u7f18\u9009\u62e9\u7684\u4f53\u73b0\uff1b\u5728\u52a8\u7269\u754c\uff0c\u871c\u8702\u5de5\u8702\u4e3a\u4fdd\u62a4\u8702\u540e\u548c\u5e7c\u8702\u800c\u727a\u7272\u751f\u547d\u4e5f\u662f\u5982\u6b64\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img js_insertlocalimg\" data-ratio=\"0.3972222222222222\" data-s=\"300,640\" data-type=\"jpeg\" data-w=\"1080\" style=\"height: auto !important\" data-imgfileid=\"100227850\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-1022b4d04c15febbe68ad1c12dc7f7f1.jpeg\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1em;margin-left: 8px;margin-right: 8px;text-align: left\" data-mpa-action-id=\"m9hvs0rcygi\" data-pm-slice=\"0 0 []\"><span style=\"font-size: 13px\"><span><span>\u6765\u6e90\uff1a<\/span><\/span><span><span>https:\/\/www.science.org\/doi\/abs\/10.1126\/science.1133755#core-collateral-purchase-access<\/span><\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>4.&nbsp;<\/span><span>\u6f14\u5316\u535a\u5f08\u9047\u4e0aAI\uff1a\u667a\u80fd\u4f53\u5982\u4f55\u5b66\u4f1a\u5408\u4f5c\uff1f<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u968f\u7740\u591a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u53d1\u5c55<\/span><span>\uff08\u6bd4\u5982\u673a\u5668\u4eba\u96c6\u7fa4\u3001\u865a\u62df\u4eba\u534f\u4f5c\u3001\u667a\u80fd\u4f53\u535a\u5f08\u7b56\u7565\u4f18\u5316\u7b49\uff09<\/span><span>\uff0c\u6211\u4eec\u8d8a\u6765\u8d8a\u9700\u8981\u7ed3\u5408\u4eba\u5de5\u667a\u80fd\u7406\u89e3\u5e76\u6a21\u62df\u4eba\u7c7b\u793e\u4f1a\u4e2d\u7684\u5408\u4f5c\u548c\u7ade\u4e89\u884c\u4e3a\u3002\u8981\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u4ec5\u9760\u4f20\u7edf\u7684\u6a21\u578b\u548c\u7b56\u7565\u89c4\u5219\u8fdc\u8fdc\u4e0d\u591f\uff0c\u5f3a\u5316\u5b66\u4e60<\/span><span>\uff08Reinforcement Learning, RL\uff09<\/span><span>\u6b63\u9010\u6e10\u6210\u4e3a\u7814\u7a76\u201c\u7fa4\u4f53\u667a\u80fd\u6f14\u5316\u201d\u7684\u5173\u952e\u5de5\u5177\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><span>\u5f3a\u5316\u5b66\u4e60\uff1a\u667a\u80fd\u4f53\u7684\u201c\u8bd5\u9519\u201d\u6210\u957f\u4e4b\u8def<\/span><\/span><\/strong><\/span><\/h3>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/h3>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5f3a\u5316\u5b66\u4e60\u8ba9\u667a\u80fd\u4f53\u901a\u8fc7\u4e0e\u73af\u5883\u4e92\u52a8\u201c\u8bd5\u9519\u201d\uff0c\u5b66\u4e60\u6700\u4f73\u7b56\u7565\u3002\u7b80\u5355\u6765\u8bf4\uff0c\u5b83\u5c31\u50cf\u6559\u667a\u80fd\u4f53\u73a9\u6e38\u620f\uff1a<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>1. \u6bcf\u4e00\u6b65\u884c\u52a8\u540e\u4f1a\u83b7\u5f97\u201c\u5956\u52b1\u201d\u6216\u201c\u60e9\u7f5a\u201d\uff1b<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>2. \u667a\u80fd\u4f53\u5c1d\u8bd5\u4e0d\u540c\u7b56\u7565\uff0c\u9010\u6e10\u5b66\u4f1a\u6700\u5927\u5316\u957f\u671f\u5956\u52b1\uff1b<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>3. \u7b56\u7565\u66f4\u65b0\u7684\u6838\u5fc3\u5728\u4e8e\u5bf9\u672a\u6765\u6536\u76ca\u7684\u4f30\u8ba1\u4e0e\u4e0d\u65ad\u4fee\u6b63\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5728\u6f14\u5316\u535a\u5f08\u4e2d\uff0c<\/span><\/span><strong style=\"font-size: 15px\"><span><span>RL\u88ab\u7528\u6765\u6a21\u62df\u4e2a\u4f53\u5982\u4f55\u5728\u7fa4\u4f53\u4e2d\u9009\u62e9\u7b56\u7565<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff0c\u6bd4\u5982\u5728\u516c\u5171\u7269\u54c1\u535a\u5f08\u4e2d\u51b3\u5b9a\u662f\u5426\u8d21\u732e\u8d44\u6e90\u3002\u7b80\u5355\u6765\u8bf4\uff0c\u667a\u80fd\u4f53\u4e0d\u518d\u4f9d\u8d56\u56fa\u5b9a\u89c4\u5219\uff0c\u800c\u662f\u5229\u7528RL\u5728\u4e0e\u73af\u5883\u7684\u4e92\u52a8\u4e2d\u4e0d\u65ad\u201c\u8bd5\u9519\u201d\uff0c\u6839\u636e\u83b7\u5f97\u7684\u5956\u52b1\u52a8\u6001\u8c03\u6574\u7b56\u7565\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u79cd\u65b9\u6cd5\u66f4\u8d34\u8fd1\u4eba\u7c7b\u5728\u793e\u4f1a\u4e2d\u7684\u884c\u4e3a\uff1a\u6211\u4eec\u901a\u8fc7\u7ecf\u9a8c\u5b66\u4e60\uff0c\u9010\u6e10\u627e\u5230\u5bf9\u81ea\u5df1\u548c\u7fa4\u4f53\u6700\u6709\u5229\u7684\u9009\u62e9\u3002\u8fd9\u4f7f\u5f97\u6a21\u62df\u80fd\u66f4\u771f\u5b9e\u5730\u53cd\u6620\u4e2a\u4f53\u95f4\u7684\u5b66\u4e60\u4e0e\u9002\u5e94\u8fc7\u7a0b\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u6211\u4eec\u4e0d\u4ec5\u80fd\u89c2\u5bdf\u7fa4\u4f53\u5408\u4f5c\u884c\u4e3a\u5982\u4f55\u6d8c\u73b0\uff0c\u8fd8\u80fd\u63ed\u793a\u4fe1\u4efb\u3001\u80cc\u53db\u7b49\u590d\u6742\u884c\u4e3a\u7684\u6f14\u5316\u89c4\u5f8b\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><span>Q-learning\uff1aRL-EGT\u7684\u5165\u95e8\u7b97\u6cd5<\/span><\/span><\/strong><\/span><\/h3>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/h3>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u76ee\u524d\u6700\u5e38\u7528\u4e8eEGT\u7814\u7a76\u7684\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u4e4b\u4e00\u662fQ-learning [5,6]\uff0c\u5b83\u901a\u8fc7\u5b66\u4e60\u201c\u72b6\u6001-\u52a8\u4f5c\u503c\u51fd\u6570\u201d\u6765\u5224\u65ad\u5f53\u524d\u6700\u4f18\u7b56\u7565\u3002\u6bd4\u5982\uff0c\u5728\u7fa4\u4f53\u5408\u4f5c\u535a\u5f08\u4e2d\uff0cQ\u8868\u8bb0\u5f55\u7740\u201c\u5408\u4f5c\u201d\u6216\u201c\u80cc\u53db\u201d\u53ef\u80fd\u5e26\u6765\u7684\u56de\u62a5\uff0c<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u667a\u80fd\u4f53\u6839\u636eQ\u8868\u9009\u62e9\u56de\u62a5\u6700\u9ad8\u7684\u52a8\u4f5c\uff0c\u5e76\u901a\u8fc7\u4e0d\u65ad\u66f4\u65b0Q\u8868\u6765\u4f18\u5316\u51b3\u7b56<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u3002\u7136\u800c\uff0c\u4f20\u7edfQ-learning<\/span><span>\uff08TQL\uff09<\/span><span>&nbsp;\u5b58\u5728\u4e00\u4e2a\u5e38\u89c1\u7684\u95ee\u9898\uff1a\u5b83\u5bb9\u6613\u201c\u8fc7\u5ea6\u4e50\u89c2\u201d\uff0c<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u5373\u9ad8\u4f30\u7b56\u7565\u7684\u9884\u671f\u6536\u76ca<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\u3002\u8fd9\u6e90\u81ea\u5176\u66f4\u65b0\u516c\u5f0f\uff1a<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: center\"><span style=\"font-size: 15px\"><span>Q(s,a) \u2190 Q(s,a) + \u03b1[r + \u03b3 * max Q(s&#8217;,a&#8217;) \u2212 Q(s,a)]\uff0c<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5176\u4e2d\uff0c<\/span><\/span><\/p>\n<ul style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\">\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>Q(s,a) \u8868\u793a\u5728\u72b6\u6001 s \u4e0b\u91c7\u53d6\u52a8\u4f5c a \u6240\u83b7\u5f97\u7684\u9884\u671f\u56de\u62a5\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u03b1 \u662f\u5b66\u4e60\u7387\uff0c\u8868\u793a\u9884\u671f\u56de\u62a5\u7684\u66f4\u65b0\u5e45\u5ea6\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>r \u662f\u6267\u884c\u52a8\u4f5c\u540e\u83b7\u5f97\u7684\u5373\u65f6\u5956\u52b1\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u03b3 \u662f\u6298\u6263\u56e0\u5b50\uff0c\u7528\u4e8e\u6743\u8861\u5f53\u524d\u5956\u52b1\u4e0e\u672a\u6765\u56de\u62a5\uff1b<\/span><\/span><\/p>\n<\/li>\n<li>\n<p style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>max Q(s&#8217;,a&#8217;) \u662f\u5728\u4e0b\u4e00\u4e2a\u72b6\u6001 s&#8217; \u4e2d\u80fd\u83b7\u5f97\u7684\u6700\u5927\u672a\u6765\u6536\u76ca\u4f30\u8ba1\u3002<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u91cc\u7684\u201c\u6700\u5927\u503c\u4f30\u8ba1\u201d<\/span><span>\uff08max\uff09<\/span><span>\u8ba9\u667a\u80fd\u4f53\u65e2\u7528 Q \u51fd\u6570\u6765\u9009\u62e9\u52a8\u4f5c\uff0c\u53c8\u7528\u5b83\u8bc4\u4f30\u52a8\u4f5c\u4ef7\u503c\u3002\u8fd9\u79cd\u201c\u81ea\u8bf4\u81ea\u8bdd\u201d\u7684\u673a\u5236\u5f80\u5f80\u5bfc\u81f4\u667a\u80fd\u4f53\u8fc7\u4e8e\u76f8\u4fe1\u67d0\u4e9b\u7b56\u7565\u7684\u56de\u62a5\uff0c\u5b66\u5230\u7684\u884c\u4e3a\u770b\u4f3c\u4f18\u79c0\uff0c\u5b9e\u5219\u53ef\u80fd\u504f\u79bb\u6700\u4f18\u89e3\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><span>Double Q-learning\uff1a\u66f4\u7cbe\u51c6\u7684\u9009\u62e9<\/span><\/span><\/strong><\/span><\/h3>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u6700\u65b0\u7814\u7a76\u4e2d\uff0c\u4e2d\u56fd\u5b66\u8005Kai Xie\u4e0e\u6f14\u5316\u535a\u5f08\u8457\u540d\u5b66\u8005Attila Szolnoki \u6559\u6388\uff0c\u9996\u6b21\u5c06Double Q-learning<\/span><span>\uff08DQL\uff09<\/span><span>\u7b97\u6cd5\u5f15\u5165\u6f14\u5316\u6a21\u578b[7]\u3002\u5176\u5de7\u5999\u4e4b\u5904\u5728\u4e8e\u4f7f\u7528\u4e24\u4e2a\u72ec\u7acb\u7684 Q \u8868\uff1a<\/span><\/span><\/p>\n<ul style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\">\n<li style=\"text-align: left\">\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u4e00\u4e2aQ\u8868\u8d1f\u8d23\u9009\u62e9\u52a8\u4f5c\uff1b<\/span><\/span><\/p>\n<\/li>\n<li style=\"text-align: left\">\n<p style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u53e6\u4e00\u4e2aQ\u8868\u8d1f\u8d23\u8bc4\u4f30\u8be5\u52a8\u4f5c\u7684\u4ef7\u503c\u3002<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u8fd9\u79cd\u201c\u53cc\u4eba\u821e\u201d\u8bbe\u8ba1\u907f\u514d\u4e86TQL\u4e2d\u7684\u201c\u81ea\u6b3a\u6b3a\u4eba\u201d\u73b0\u8c61\u2014\u2014\u5728TQL\u4e2d\uff0c\u540c\u4e00\u4e2aQ\u8868\u65e2\u9009\u52a8\u4f5c\u53c8\u4f30\u4ef7\u503c\uff0c\u5bb9\u6613\u4ea7\u751f\u504f\u5dee\u3002DQL\u7684\u66f4\u65b0\u89c4\u5219\u5982\u4e0b\uff1a<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.14907407407407408\" data-s=\"300,640\" data-type=\"png\" data-w=\"1080\" style=\"width:427px;height:64px\" data-imgfileid=\"100227886\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-44f0322623edc534b8e183093f605765.png\" \/><\/section>\n<p style=\"margin-bottom: 8px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u7b80\u5355\u6765\u8bf4\uff0c\u4e24\u4e2aQ\u8868\u8f6e\u6d41\u66f4\u65b0\uff0c<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u4e00\u4e2a\u9009\u52a8\u4f5c\u65f6\u53c2\u8003\u53e6\u4e00\u4e2a\u7684\u4ef7\u503c\u8bc4\u4f30\uff0c\u4ece\u800c\u51cf\u5c11\u504f\u5dee<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>\uff0c\u8ba9\u667a\u80fd\u4f53\u7684\u51b3\u7b56\u66f4\u7cbe\u51c6\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img js_insertlocalimg\" data-ratio=\"1.25\" data-s=\"300,640\" data-type=\"png\" data-w=\"300\" style=\"width: 159px;height: auto !important\" data-imgfileid=\"100227851\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-0276a664f7252c7eecbdb6f0fa1cc935.png\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.5em;margin-left: 8px;margin-right: 8px;text-align: center\"><span style=\"font-size: 13px\" data-mpa-action-id=\"m9hvv4elntd\" data-pm-slice=\"0 0 []\"><span>Attila Szolnoki\uff0c\u6765\u6e90\uff1ahttps:\/\/ieeexplore.ieee.org\/author\/37090052031<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u7814\u7a76\u8868\u660e\uff0c\u76f8\u6bd4TQL\uff0cDQL \u964d\u4f4e\u4e86\u7b56\u7565\u504f\u5dee\uff0c\u8ba9\u667a\u80fd\u4f53\u66f4\u503e\u5411\u4e8e\u9009\u62e9\u5408\u4f5c\u7b56\u7565\uff0c\u5f62\u6210\u7a33\u5b9a\u7684\u5408\u4f5c\u96c6\u7fa4\u3002\u8fd9\u79cd\u6539\u8fdb\u5c31\u50cf\u7ed9\u667a\u80fd\u4f53\u88c5\u4e0a\u4e86\u201c\u66f4\u6e05\u6670\u7684\u773c\u955c\u201d\uff0c\u8ba9\u5b83\u4eec\u66f4\u51c6\u786e\u5730\u611f\u77e5\u7fa4\u4f53\u52a8\u6001\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.9564732142857143\" data-type=\"jpeg\" data-w=\"896\" style=\"width: 100%;height: auto !important\" data-width=\"896\" data-height=\"857\" data-backw=\"562\" data-backh=\"538\" data-imgfileid=\"100227842\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-b22069ca26ce730f456fe0a5af87b431.jpeg\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.5em;margin-left: 8px;margin-right: 8px;text-align: left\" data-mpa-action-id=\"m9hvvki81xe7\" data-pm-slice=\"0 0 []\"><span style=\"font-size: 13px\"><span><span>TQL\u548cDQL\u7b97\u6cd5\u5bf9\u6bd4\u3002(b)\u548c(d) \uff0c\u5728\u5173\u952e\u53c2\u6570\u4e0d\u4e3a0\u7684\u60c5\u51b5\u4e0b\uff0c\u5728\u4fc3\u8fdb\u5408\u4f5c\u6c34\u5e73\u65b9\u9762\uff0cDQL\u6574\u4f53\u4f18\u4e8eTQL\u7b97\u6cd5\u3002\u6765\u6e90\uff1a<\/span><\/span><span><span>https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0960077925004114<\/span><\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span><br \/><\/span><\/p>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><span>\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\uff1a\u590d\u6742\u573a\u666f\u7684\u7a81\u7834<\/span><\/span><\/strong><\/span><\/h3>\n<h3 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/h3>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u9664\u4e86 Q-learning \u53ca\u5176\u53d8\u4f53\uff0c\u4e0e\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60<\/span><span>\uff08DRL\uff09<\/span><span>\u76f8\u5173\u7684\u7b97\u6cd5\u4e5f\u5f00\u59cb\u5728\u6f14\u5316\u535a\u5f08\u4e2d\u5927\u653e\u5f02\u5f69\u3002\u6700\u5177\u4ee3\u8868\u6027\u7684\u662f\u6df1\u5ea6Q\u7f51\u7edc<\/span><span>\uff08Deep Q-Network, DQN\uff09<\/span><span>\uff0c\u5b83\u5229\u7528\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u903c\u8fd1 Q \u503c\u51fd\u6570\uff0c\u80fd\u5904\u7406\u9ad8\u7ef4\u5ea6\u3001\u590d\u6742\u72b6\u6001\u7a7a\u95f4\u7684\u535a\u5f08\u573a\u666f\u3002\u6700\u65b0\u7684\u7814\u7a76\u88ab\u53d1\u8868\u5728\u8ba1\u7b97\u673a\u9876\u7ea7\u4f1a\u8baeIJCAI [8,9]\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px;text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.5337078651685393\" data-type=\"jpeg\" data-w=\"890\" style=\"height: auto !important\" data-width=\"890\" data-height=\"475\" data-imgfileid=\"100227844\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-ea5ae4dddbb574787f3f650fa993e73d.jpeg\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>DQN\u7f51\u7edc\u6f14\u5316\u535a\u5f08\u8bad\u7ec3\u6846\u67b6\uff0c\u6765\u6e90\uff1ahttps:\/\/arxiv.org\/abs\/2405.02654<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img js_insertlocalimg\" data-ratio=\"0.3611111111111111\" data-s=\"300,640\" data-type=\"jpeg\" data-w=\"900\" style=\"height: auto !important\" data-imgfileid=\"100227852\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-92129b4b8890a38b7ea00fe94d224650.jpeg\" \/><\/section>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>DQN\u7f51\u7edc\u6f14\u5316\u535a\u5f08\u8bad\u7ec3\u6846\u67b6\uff0c\u6765\u6e90\uff1a<\/span><\/span><span style=\"font-size: 13px\"><span>https:\/\/arxiv.org\/abs\/2310.04623<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u4ece\u7ecf\u5178\u7684TQL\u7b97\u6cd5\uff0c\u5230\u6709\u6548\u7f13\u89e3\u8fc7\u4f30\u8ba1\u95ee\u9898\u7684DQL\uff0c\u518d\u5230\u5229\u7528\u795e\u7ecf\u7f51\u7edc\u5904\u7406\u590d\u6742\u73af\u5883\u4fe1\u606f\u7684 DQN\uff0c\u53ef\u4ee5\u9884\u89c1\uff0c\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u4e0e\u6f14\u5316\u535a\u5f08\u7684\u4ea4\u53c9\u5c06\u5728\u672a\u6765\u8fdb\u4e00\u6b65\u6df1\u5316\u3002\u8fd9\u79cd\u7ed3\u5408\u4e0d\u4ec5\u4ec5\u662f\u6280\u672f\u5c42\u9762\u7684\u878d\u5408\uff0c\u66f4\u662f\u7406\u5ff5\u4e0a\u7684\u5347\u534e\u3002\u6211\u4eec\u6b63\u5728\u89c1\u8bc1\u667a\u80fd\u4f53\u4ece\u6700\u521d\u4e13\u6ce8\u4e8e\u201c\u5982\u4f55\u6700\u5927\u5316\u81ea\u8eab\u5956\u52b1\u201d\u7684\u9636\u6bb5\uff0c\u9010\u6b65\u8fc8\u5411\u80fd\u591f\u7406\u89e3\u548c\u5b9e\u8df5\u201c\u5408\u4f5c\u5171\u8d62\u201d\u7684\u65b0\u7eaa\u5143\u3002\u8fd9\u610f\u5473\u7740\u667a\u80fd\u4f53\u6b63\u5728\u4ece\u201c\u5b66\u4f1a\u8d62\u201d\u8d70\u5411\u201c\u5b66\u4f1a\u5171\u8d62\u201d\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h2 style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>5. &nbsp;<\/span><span>\u4ece\u7406\u8bba\u8d70\u5411\u5b9e\u8df5\uff1a<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u6f14\u5316\u535a\u5f08\u7684\u5b66\u79d1\u4ea4\u53c9\u524d\u666f<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u6f14\u5316\u535a\u5f08\u7406\u8bba\u4ece\u751f\u7269\u5b66\u7684\u571f\u58e4\u4e2d\u840c\u82bd\uff0c\u5982\u4eca\u5df2\u6210\u957f\u4e3a\u4e00\u68f5\u8986\u76d6\u5fc3\u7406\u5b66\u3001\u4eba\u5de5\u667a\u80fd\u3001\u793e\u4f1a\u5b66\u3001\u7ecf\u6d4e\u5b66\u4e43\u81f3\u751f\u6001\u6cbb\u7406\u7b49\u591a\u4e2a\u9886\u57df\u7684\u8de8\u5b66\u79d1\u5927\u6811\u3002\u5b83\u4e0d\u4ec5\u63ed\u793a\u4e86\u5408\u4f5c\u7684\u6df1\u5c42\u903b\u8f91\uff0c\u4e5f\u4e3a\u89e3\u51b3\u73b0\u5b9e\u4e16\u754c\u4e2d\u7684\u590d\u6742\u95ee\u9898\u63d0\u4f9b\u4e86\u5b9e\u7528\u5de5\u5177\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5728<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u5fc3\u7406\u5b66<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>[10]\u9886\u57df\uff0c\u6f14\u5316\u535a\u5f08\u88ab\u7528\u6765\u89e3\u91ca\u4fe1\u4efb\u3001\u5229\u4ed6\u3001\u60e9\u7f5a\u3001\u5171\u60c5\u7b49\u793e\u4f1a\u884c\u4e3a\u7684\u8d77\u6e90\uff1b\u7814\u7a76\u8005\u901a\u8fc7\u6784\u5efa\u535a\u5f08\u6a21\u578b\uff0c\u63a2\u7d22\u4eba\u7c7b\u4e3a\u4f55\u4f1a\u201c\u505a\u5bf9\u4ed6\u4eba\u6709\u5229\u5374\u5bf9\u81ea\u5df1\u4e0d\u5229\u7684\u9009\u62e9\u201d\uff0c\u751a\u81f3\u5c06\u5176\u4f5c\u4e3a\u5206\u6790\u7fa4\u4f53\u9053\u5fb7\u76f4\u89c9\u7684\u5de5\u5177\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5728<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u4eba\u5de5\u667a\u80fd&nbsp;<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>[11]\u9886\u57df\uff0c\u6f14\u5316\u535a\u5f08\u6b63\u9010\u6e10\u6210\u4e3a\u591a\u667a\u80fd\u4f53\u5b66\u4e60\u4e2d\u7684\u5173\u952e\u7406\u8bba\u6846\u67b6\u3002\u7279\u522b\u662f\u5728\u65e0\u4eba\u9a7e\u9a76\u3001\u673a\u5668\u4eba\u7f16\u961f\u534f\u540c\u3001\u5143\u5b87\u5b99\u793e\u4ea4\u4e0e\u865a\u62df\u7ecf\u6d4e\u6cbb\u7406\u7b49\u524d\u6cbf\u5e94\u7528\u4e2d\uff0c\u7406\u89e3\u5982\u4f55\u6fc0\u52b1\u201c\u5f02\u8d28\u667a\u80fd\u4f53\u201d\u4ea7\u751f\u6301\u7eed\u7a33\u5b9a\u7684\u5408\u4f5c\uff0c\u6bd4\u5355\u7eaf\u63d0\u9ad8\u7b97\u6cd5\u6027\u80fd\u66f4\u5177\u6218\u7565\u610f\u4e49\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5728<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u653f\u7b56\u6cbb\u7406&nbsp;<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>[12]\u65b9\u9762\uff0c\u6f14\u5316\u535a\u5f08\u5927\u6709\u53ef\u4e3a\u3002\u5728\u4e2d\u7f8e\u8d38\u6613\u6469\u64e6\u4e2d\uff0c\u6f14\u5316\u535a\u5f08\u80fd\u5206\u6790\u5173\u7a0e\u7b56\u7565\u7684\u957f\u671f\u6548\u5e94\uff0c\u5e2e\u4e2d\u56fd\u8bbe\u8ba1\u7075\u6d3b\u5e94\u5bf9\u65b9\u6848\uff1b\u5728\u201c\u4e00\u5e26\u4e00\u8def\u201d\u4e2d\uff0c\u5b83\u80fd\u9884\u6d4b\u6cbf\u7ebf\u56fd\u5bb6\u7684\u5408\u4f5c\u610f\u613f\uff0c\u52a9\u529b\u653f\u7b56\u7cbe\u51c6\u843d\u5730\u3002\u9762\u5bf9\u5927\u56fd\u535a\u5f08\u7684\u201c\u56da\u5f92\u56f0\u5883\u201d\uff0c\u6f14\u5316\u535a\u5f08\u662f\u7834\u89e3\u50f5\u5c40\u7684\u79d1\u5b66\u5229\u5668\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u5728<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u751f\u6001\u4e0e\u73af\u5883\u653f\u7b56&nbsp;<\/span><\/span><\/strong><span style=\"font-size: 15px\"><span>[13]\u4e2d\uff0c\u5b83\u4e5f\u4e3a\u6c14\u5019\u534f\u8bae\u3001\u6e14\u4e1a\u4fdd\u62a4\u3001\u6c61\u67d3\u9632\u6cbb\u7b49\u5168\u7403\u6cbb\u7406\u96be\u9898\u63d0\u4f9b\u4e86\u7406\u8bba\u652f\u6301\u3002\u4f8b\u5982\uff0c\u901a\u8fc7\u6a21\u62df\u56fd\u5bb6\u4e4b\u95f4\u201c\u5408\u4f5c\u51cf\u6392\u201d\u4e0e\u201c\u9003\u907f\u8d23\u4efb\u201d\u7684\u6f14\u5316\u535a\u5f08\uff0c\u653f\u7b56\u5236\u5b9a\u8005\u80fd\u66f4\u6e05\u6670\u5730\u770b\u5230\u6fc0\u52b1\u673a\u5236\u7684\u91cd\u8981\u6027\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u672a\u6765\uff0c\u968f\u7740\u5927\u6570\u636e\u3001\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u3001\u7fa4\u4f53\u667a\u80fd\u4e0e\u5927\u6a21\u578b\u7684\u53d1\u5c55\uff0c\u6f14\u5316\u535a\u5f08\u4e0d\u4ec5\u5c06\u5728\u7406\u8bba\u7ef4\u5ea6\u4e0d\u65ad\u6df1\u5316\uff0c\u4e5f\u5c06\u5728\u66f4\u5e7f\u6cdb\u7684\u5b9e\u8df5\u573a\u666f\u4e2d\u5f00\u679d\u6563\u53f6\u3002<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span>\u6b63\u5982\u6211\u4eec\u6240\u89c1\uff0c\u5408\u4f5c\u4ece\u4e0d\u662f\u7406\u6240\u5f53\u7136\uff0c\u5b83\u662f\u81ea\u7136\u9009\u62e9\u4e0b\u7684\u201c\u975e\u7406\u6027\u667a\u6167\u201d\uff0c\u4e5f\u662f\u4eba\u7c7b\u793e\u4f1a\u8d56\u4ee5\u8fd0\u8f6c\u7684\u201c\u7406\u6027\u5e7b\u60f3\u201d\u3002\u4ece\u81ea\u79c1\u57fa\u56e0\u5230\u7fa4\u4f53\u667a\u6167\uff0c\u5728\u8fd9\u4e2a\u667a\u80fd\u91cd\u5851\u4e16\u754c\u7684\u65f6\u4ee3\uff0c\u6f14\u5316\u535a\u5f08\u7528\u6570\u5b57\u4e0e\u4eba\u6027\u7684\u4ea4\u878d\u544a\u8bc9\u6211\u4eec\uff1a<\/span><\/span><strong style=\"font-size: 15px\"><span><span>\u7406\u89e3\u5408\u4f5c\u7684\u672c\u8d28\uff0c\u624d\u80fd\u771f\u6b63\u8bbe\u8ba1\u51fa\u503c\u5f97\u4fe1\u4efb\u7684\u4e16\u754c\u3002<\/span><\/span><\/strong><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/p>\n<h2 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><br \/><\/span><\/h2>\n<h2 style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span style=\"font-weight: bold\">\u53c2\u8003\u6587\u732e<\/span><\/span><\/h2>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[1]v. Neumann, J. (1928). Zur theorie der gesellschaftsspiele.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Mathematische Annalen<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>100<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>(1), 295-320.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[2]Nash Jr, J. F. (1950). Equilibrium points in n-person games.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Proceedings of the National Academy of Sciences<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>36<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>(1), 48-49.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[3]Maynard Smith, J. (1976). Evolution and the Theory of Games.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>American Scientist<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>64<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>(1), 41-45.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[4]Nowak, Martin A. &#8220;Five rules for the evolution of cooperation.&#8221; S<\/span><\/span><em style=\"font-size: 13px\"><span><span>cience<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>&nbsp;314.5805 (2006): 1560-1563.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[5]Zheng, G., Zhang, J., Deng, S., Cai, W., &amp; Chen, L. (2024). Evolution of cooperation in the public goods game with Q-learning.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Chaos, Solitons &amp; Fractals<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>188<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 115568.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[6]Tamura, K., &amp; Morita, S. (2024). Analysing public goods games using reinforcement learning: effect of increasing group size on cooperation.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Royal Society Open Science<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>11<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>(12), 241195.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[7]Xie, K., &amp; Szolnoki, A. (2025). Reputation in public goods cooperation under double Q-learning protocol.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Chaos, Solitons &amp; Fractals<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>196<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 116398.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[8]Ren, T., &amp; Zeng, X. J. (2024). Enhancing cooperation through selective interaction and long-term experiences in multi-agent reinforcement learning.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>arXiv preprint arXiv:2405.02654<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[9]Ueshima, A., Omidshafiei, S., &amp; Shirado, H. (2023). Deconstructing cooperation and ostracism via multi-agent reinforcement learning.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>arXiv preprint arXiv:2310.04623<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[10]Conroy-Beam, D., Goetz, C. D., &amp; Buss, D. M. (2015). Why do humans form long-term mateships? An evolutionary game-theoretic model. In&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Advances in experimental social psychology<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>&nbsp;(Vol. 51, pp. 1-39). Academic Press.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[11]Wu, Y., &amp; Pan, L. (2024). LSTEG: An evolutionary game model leveraging deep reinforcement learning for privacy behavior analysis on social networks.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Information Sciences<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>676<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 120842.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[12]Feng, N., &amp; Ge, J. (2024). How does fiscal policy affect the green low-carbon transition from the perspective of the evolutionary game?.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Energy Economics<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>134<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 107578.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[13]Tilman, A. R., Plotkin, J. B., &amp; Ak\u00e7ay, E. (2020). Evolutionary games with environmental feedbacks.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Nature Communications<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>11<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>(1), 915.<\/span><\/span><\/p>\n<h2 style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><br \/><\/span><\/h2>\n<h2 style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\" data-mpa-action-id=\"m9hsy57d16eb\" data-pm-slice=\"0 0 []\"><span style=\"font-weight: bold\">\u7b14\u8005\uff08\u8c22\u51ef\uff09\u56f4\u7ed5\u6f14\u5316\u535a\u5f08\u7406\u8bba\u53d1\u8868\u7684\u8bba\u8457<\/span><\/span><\/h2>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[1]<\/span><\/span><strong style=\"font-size: 13px\"><span><span>Xie, K<\/span><\/span><\/strong><span style=\"font-size: 13px\"><span>., &amp; Szolnoki, A. (2025). Reputation in public goods cooperation under double Q-learning protocol.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Chaos, Solitons &amp; Fractals<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>196<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 116398.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[2]<\/span><\/span><strong style=\"font-size: 13px\"><span><span>Xie, K.<\/span><\/span><\/strong><span style=\"font-size: 13px\"><span>, &amp; Liu, T. (2024). The regulation of good and evi promotes cooperation in public goods game.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Applied Mathematics and Computation<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>478<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 128844.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[3]<\/span><\/span><strong style=\"font-size: 13px\"><span><span>Xie, K.<\/span><\/span><\/strong><span style=\"font-size: 13px\"><span>, Liu, Y., &amp; Liu, T. (2024). Unveiling the masks: Deception and reputation in spatial prisoner\u2019s dilemma game.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Chaos, Solitons &amp; Fractals<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>186<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 115234.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[4]<\/span><\/span><strong style=\"font-size: 13px\"><span><span>Xie, K.<\/span><\/span><\/strong><span style=\"font-size: 13px\"><span>, Liu, X., Wang, H., &amp; Jiang, Y. (2023). Multi-heterogeneity public goods evolutionary game on lattice.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Chaos, Solitons &amp; Fractals<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>172<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 113562.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 8px;line-height: 1em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 13px\"><span>[5]<\/span><\/span><strong style=\"font-size: 13px\"><span><span>Xie, K.<\/span><\/span><\/strong><span style=\"font-size: 13px\"><span>, Liu, X., Chen, H., &amp; Yang, J. (2022). Preferential selection and expected payoff drive cooperation in spatial voluntary public goods game.&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>Physica A: Statistical Mechanics and its Applications<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>,&nbsp;<\/span><\/span><em style=\"font-size: 13px\"><span><span>605<\/span><\/span><\/em><span style=\"font-size: 13px\"><span>, 127984.<\/span><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1em;margin-left: 8px;margin-right: 8px;text-align: left\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><span style=\"font-size: 15px\"><span style=\"font-weight: bold\">\u4f5c\u8005\uff1a<\/span><\/span><\/p>\n<section style=\"margin-bottom: 0px;line-height: 1.75em;margin-left: 8px;margin-right: 8px\"><img class=\"rich_pages wxw-img\" data-ratio=\"0.2955010224948875\" data-type=\"png\" data-w=\"978\" style=\"height: auto !important\" data-width=\"978\" data-height=\"289\" data-imgfileid=\"100227845\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-c663ae1a505cb2d569bbfbbd1ff15f7a.png\" \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<blockquote style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span><span>\u672c\u6587\u4e3a\u79d1\u666e\u4e2d\u56fd-\u521b\u4f5c\u57f9\u80b2\u8ba1\u5212\u6276\u6301\u4f5c\u54c1<\/span><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span><span>\u4f5c\u8005 |&nbsp;<\/span><\/span><span><span>\u8c22\u51ef<\/span><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span><span>\u5ba1\u6838 |&nbsp;<\/span><\/span><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.544px\"><span><span>\u5f20\u6c5f\uff08\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u6559\u6388\uff09<\/span><\/span><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span><span>\u51fa\u54c1 | \u4e2d\u56fd\u79d1\u534f\u79d1\u666e\u90e8<\/span><\/span><\/section>\n<section style=\"margin-right: 8px;margin-left: 8px;line-height: 1.75em;text-align: left\"><span><span>\u76d1\u5236 | \u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u51fa\u7248\u793e\u6709\u9650\u516c\u53f8\u3001\u5317\u4eac\u4e2d\u79d1\u661f\u6cb3\u6587\u5316\u4f20\u5a92\u6709\u9650\u516c\u53f8<\/span><\/span><\/section>\n<\/blockquote>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.544px;line-height: 1.75em;text-align: center\"><span><br \/><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.544px;line-height: 1.75em;text-align: center\"><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-ratio=\"0.6487935656836461\" data-type=\"other\" data-w=\"746\" style=\"width: 198px !important;height: auto !important\" data-width=\"746\" data-height=\"484\" data-imgfileid=\"100224751\" src=\"\" \/><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 1.75em\"><span><strong><span style=\"font-size: 15px\"><span><br \/><\/span><\/span><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 1.75em\"><span><strong><span style=\"font-size: 15px\"><span><br \/><\/span><\/span><\/strong><\/span><\/section>\n<section style=\"margin: 0px 8px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;text-align: justify;text-indent: 0px;text-transform: none;letter-spacing: 0.578px;line-height: 1.75em\" data-pm-slice=\"0 0 []\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span><br \/><\/span><\/span><\/strong><\/span><\/section>\n<section style=\"margin: 0px 8px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;text-align: center;text-indent: 0px;text-transform: none;letter-spacing: 0.578px;line-height: 1.75em\" data-pm-slice=\"0 0 []\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"font-size: 16px\" data-mpa-action-id=\"m9hy4dvz1pye\" data-pm-slice=\"0 0 []\"><span>-\u76f4\u64ad\u9884\u544a-<\/span><\/span><\/span><\/strong><\/span><\/section>\n<section style=\"margin: 0px 8px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;text-align: center;text-indent: 0px;text-transform: none;letter-spacing: 0.578px;line-height: 1.75em\" data-pm-slice=\"0 0 []\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span><br \/><\/span><\/span><\/strong><\/span><\/section>\n<section style=\"text-align: center\"><img class=\"rich_pages wxw-img\" data-ratio=\"2.4074074074074074\" data-s=\"300,640\" data-type=\"png\" data-w=\"1080\" style=\"width: 100%;height: auto !important\" data-backw=\"578\" data-backh=\"1391\" data-imgfileid=\"100227853\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-a38072281ce045abbc3af87cd666716a.png\" \/><\/section>\n<section style=\"margin: 0px 8px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;text-align: justify;text-indent: 0px;text-transform: none;letter-spacing: 0.578px;line-height: 1.75em\" data-pm-slice=\"0 0 []\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span><br \/><\/span><\/span><\/strong><\/span><\/p>\n<section style=\"margin: 0px 8px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;text-align: justify;text-indent: 0px;text-transform: none;letter-spacing: 0.578px;line-height: 1.75em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/span><\/strong><\/span><\/section>\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-indent: 0px;text-transform: none;text-align: center;justify-content: center\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: auto;vertical-align: top;min-width: 10%;height: auto\">\n<section style=\"margin: 0px 0px -15px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px 10px;max-width: 100%;font-size: 16px;line-height: 2;letter-spacing: 3px\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u8bfb\u4e66\u4f1a<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"margin: 0px 8px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;line-height: 1.75em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/p>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;line-height: 2em\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 15px;letter-spacing: 0.034em\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\">\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u5408\u80a5\u5de5\u4e1a\u5927\u5b66\u7269\u7406\u7cfb\u6559\u6388\u674e\u660e\u3001\u540c\u6d4e\u5927\u5b66\u526f\u6559\u6388\u5f20\u6bc5\u8d85\u3001\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7279\u8058\u526f\u7814\u7a76\u5458\u53f2\u8d35\u5143\u4e0e\u5728\u8bfb\u535a\u58eb\u751f\u90b1\u4ef2\u666e\u3001\u5f20\u7ae0\u5171\u540c\u53d1\u8d77<\/span><\/span><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\"><a style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%;, Arial, sans-serif;font-size: 15px;letter-spacing: 0.034em\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707987&amp;idx=1&amp;sn=6c2c2da64c8b06004edeb02568a05804&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u300c\u590d\u6742\u7f51\u7edc\u52a8\u529b\u5b66\u300d\u8bfb\u4e66\u4f1a<\/a><\/span><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 15px;letter-spacing: 0.034em\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\">\u3002\u672c\u6b21\u8bfb\u4e66\u4f1a\u5c06\u63a2\u8ba8\uff1a\u540c\u6b65\u76f8\u53d8\u7684\u4e34\u754c\u6027\u3001\u5982\u4f55\u666e\u9002\u5730\u523b\u753b\u591a\u7a33\u6001\u4e0e\u4e34\u754c\u70b9\u3001\u5982\u4f55\u8bc6\u522b\u5e76\u9884\u6d4b\u4e34\u754c\u8f6c\u53d8\u3001\u5982\u4f55\u901a\u8fc7\u5c40\u90e8\u5e72\u9884\u6765\u8c03\u63a7\u7cfb\u7edf\u4fdd\u6301\u6216\u56de\u5230\u671f\u671b\u7a33\u6001\u3001\u7206\u70b8\u903e\u6e17\u4e34\u754c\u884c\u4e3a\u7684\u5173\u952e\u7279\u5f81\u3001\u4e0d\u540c\u7c7b\u578b\u7684\u7ea7\u8054\u8fc7\u7a0b\u5bf9\u903e\u6e17\u76f8\u53d8\u7684\u5f71\u54cd\u6709\u4f55\u5f02\u540c\u3001\u9ad8\u9636\u76f8\u4e92\u4f5c\u7528\u7684\u5f71\u54cd\u80fd\u5426\u7b49\u6548\u4e3a\u82e5\u5e72\u7b80\u5355\u673a\u5236\u7684\u53e0\u52a0\u3001\u5982\u4f55\u6709\u6548\u5730\u4fc3\u8fdb\u4eba\u7c7b\u4e2a\u4f53\u95f4\u7684\u5408\u4f5c\u7b49\u95ee\u9898\u3002<\/span><\/span><\/section>\n<section style=\"margin: 0px 8px;padding: 0px;max-width: 100%;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;line-height: 2em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 15px;letter-spacing: 0.578px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/span><\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;line-height: 2em\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 15px;letter-spacing: 0.578px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\">\u8bfb\u4e66\u4f1a\u8ba1\u5212\u4ece3\u67087\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a19:30-21:30\u8fdb\u884c\uff0c\u6301\u7eed8-10\u5468\u3002\u8bda\u631a\u9080\u8bf7\u9886\u57df\u5185\u7814\u7a76\u8005\u3001\u5bfb\u6c42\u8de8\u9886\u57df\u878d\u5408\u7684\u7814\u7a76\u8005\u52a0\u5165\uff0c\u5171\u540c\u63a2\u8ba8\u3002<\/span><\/span><\/section>\n<p style=\"margin: 0px 8px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;line-height: 1.75em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 16px;, Arial, sans-serif;letter-spacing: 0.034em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/span><\/p>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-indent: 0px;text-transform: none;, Arial, sans-serif;text-align: center\"><a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707987&amp;idx=1&amp;sn=6c2c2da64c8b06004edeb02568a05804&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"1\" rel=\"noopener noreferrer\"><span style=\"margin-top:0px;margin-bottom:0px;padding:0px;max-width:100%;vertical-align:bottom;overflow:hidden;width:100%\" class=\"js_jump_icon h5_image_link\"><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-ratio=\"0.5675925925925925\" data-s=\"300,640\" data-type=\"png\" data-w=\"1080\" style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;border-width: 0px;border-style: initial;border-color: initial;max-width: 100%;vertical-align: bottom;width: 661px !important;height: auto !important\" data-croporisrc=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/wibWV1DB7tWKnOfIw27cXgdPeGRVyDtosrjKwm5pWFJVgdHCuTusUIdnqIMIibAlZAlvvhTbyhBoaia0WHJaluV2w\/0?wx_fmt=png&amp;from=appmsg\" data-cropselx2=\"562\" data-cropsely2=\"319\" data-backw=\"562\" data-backh=\"319\" data-imgfileid=\"100227550\" src=\"\/wp-content\/uploads\/2025\/04\/wxsync-2025-04-6793adcfc2d210f86e15661dceb6bea8.png\" \/><\/span><\/a><\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none\">\n<p style=\"margin: 0px 8px 5px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/span><\/p>\n<p style=\"margin: 0px 0px 5px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\">\u8be6\u60c5\u8bf7\u89c1\uff1a<a style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707987&amp;idx=1&amp;sn=6c2c2da64c8b06004edeb02568a05804&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u590d\u6742\u7f51\u7edc\u4e0a\u7684\u81ea\u7ec4\u7ec7\u4e0e\u96c6\u4f53\u884c\u4e3a\uff1a\u4ece\u6269\u6563\u3001\u76f8\u53d8\u5230\u535a\u5f08 | \u8bfb\u4e66\u4f1a\u542f\u52a8<\/a><\/span><\/span><\/p>\n<\/section>\n<p style=\"margin: 0px 8px 5px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><span><br \/><\/span><\/p>\n<p style=\"margin: 0px 8px 5px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><span><br \/><\/span><\/p>\n<\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><strong style=\"letter-spacing: 0.544px;font-size: 16px;text-align: center;, Arial, sans-serif\"><strong style=\"text-align: left;font-family: PingFangSC-light;letter-spacing: 0.544px\"><span style=\"font-size: 15px;letter-spacing: 0.544px\"><span>\u63a8\u8350\u9605\u8bfb<\/span><\/span><\/strong><\/strong><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><span>1.&nbsp;<a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247490142&amp;idx=1&amp;sn=6153a2720dbdbade88e030c1a960f66e&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">Nature\u4eba\u7c7b\u884c\u4e3a: \u7fa4\u4f53\u95f4\u7684\u5f31\u7ebd\u5e26\u5982\u4f55\u4fc3\u8fdb\u5408\u4f5c\u5f62\u6210<\/span><\/a><\/span><\/strong><span style=\"text-decoration: underline\"><strong><span><br \/><\/span><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><span>2.&nbsp;<a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247709233&amp;idx=2&amp;sn=760992855fbd83aa1b4c3f6adc191f5b&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">Entropy\u901f\u9012\uff1a\u5f53\u8db3\u7403\u9047\u4e0a\u4fe1\u606f\u8bba\uff0c\u7403\u961f\u201c\u7fa4\u4f53\u667a\u6167\u201d\u662f\u5982\u4f55\u6d8c\u73b0\u7684\uff1f<\/span><\/a><\/span><\/strong><span style=\"text-decoration: underline\"><strong style=\"letter-spacing: 0.544px\"><span><br \/><\/span><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><span>3.&nbsp;<a href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247707413&amp;idx=3&amp;sn=100e95e137d55d2f7a2b7e31321839f9&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">PNAS\u901f\u9012\uff1a\u8682\u8681\u7fa4\u4f53\u89c4\u6a21\u8d8a\u5927\u8d8a\u806a\u660e\uff0c\u4eba\u7c7b\u7fa4\u4f53\u8868\u73b0\u53ef\u80fd\u4e0d\u5982\u4e2a\u4f53<\/span><\/a><\/span><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><\/strong><\/section>\n<section style=\"margin: 0px 8px 8px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;font-size: 14px\" data-pm-slice=\"0 0 []\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">4.&nbsp;<\/span><\/strong><\/span><span style=\"margin: 0px;padding: 0px;max-width: 100%;text-decoration: underline\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><a style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247710871&amp;idx=1&amp;sn=f572fc0ff9abbc6b32185b835ed39122&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u6d8c\u73b0\u52a8\u529b\u5b66\u5982\u4f55\u7528\u6765\u5206\u6790\u590d\u6742\u7cfb\u7edf\uff1f | \u65b0\u8bfe\u4e0a\u7ebf<\/a><\/span><\/strong><\/strong><\/span><\/section>\n<section style=\"margin: 0px 8px 8px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;font-size: 14px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><strong style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">5.&nbsp;<\/span><\/strong><strong style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><a style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247710722&amp;idx=1&amp;sn=1525450b1cd21fb737953390f8efe8ec&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">AI\u65f6\u4ee3\u7684\u5b66\u4e60\uff1a\u5171\u63a2\u4eba\u7c7b\u5b66\u4e60\u7684\u590d\u6742\u6027<\/span><\/a><\/span><\/strong><\/section>\n<p style=\"margin: 0px 8px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;font-size: 14px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">6.&nbsp;<\/span><\/strong><span style=\"margin: 0px;padding: 0px;max-width: 100%;text-decoration: underline\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><a style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247710237&amp;idx=3&amp;sn=58ef1bd72e608f0778d03e8f271520c6&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" target=\"_blank\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u63a2\u7d22\u8005\u8ba1\u5212 | \u96c6\u667a\u4ff1\u4e50\u90e82025\u5185\u5bb9\u56e2\u961f\u62db\u52df\uff08\u5168\u804c&amp;\u517c\u804c\uff09<\/a><\/span><\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em\"><span><br \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em\"><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-indent: 0em\"><span><br \/><\/span><\/span><\/p>\n<section style=\"margin-bottom: 0px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em;margin-left: 0px;margin-right: 0px\"><span style=\"text-indent: 0em;font-family: PingFangSC-light;font-size: 15px;font-weight: 700;letter-spacing: 0.544px;text-align: left\"><span>\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/span><\/section>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5bfc\u8bed \u5408\u4f5c\u4e3a\u4f55\u65e0\u5904\u4e0d\u5728\uff1f\u4ece\u72fc\u7fa4\u56f4\u730e\u5230\u56fd\u9645\u51cf\u6392\uff0c\u4ece\u5730\u94c1\u6392\u961f\u5230\u5f00\u6e90\u793e\u533a\uff0c\u81ea\u79c1\u7684\u672c\u80fd\u4f3c\u4e4e\u96be\u4ee5\u963b\u6321\u96c6\u4f53\u4ed8\u51fa\u7684\u811a\u6b65\u3002\u5728\u8ffd\u9010\u4e2a\u4eba\u5229\u76ca\u7684\u4e16\u754c\u91cc\uff0c\u4e2a\u4f53\u4e3a\u4f55\u7518\u613f\u4e3a\u7fa4\u4f53\u51fa\u529b\uff1f\u6f14\u5316\u535a\u5f08\u7406\u8bba\u6b63\u5982\u4e00\u628a\u94a5\u5319\uff0c\u5e2e\u52a9\u7814\u7a76\u4eba\u5458\u7834\u89e3\u8fd9\u4e00\u53e4\u8001\u6096\u8bba\u3002\u7f8e\u56fd\u6570\u7406\u751f\u7269\u5b66\u5bb6 Martin Nowak \u521b\u59cb\u6027\u5730\u5229\u7528\u5176\u63ed\u793a\u4e86\u7fa4\u4f53\u5408\u4f5c\u7684\u5965\u79d8\uff0c\u5176\u6210\u679c\u520a\u767b&#8230;<\/p>\n","protected":false},"author":0,"featured_media":58545,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/58566"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=58566"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/58566\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/58545"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=58566"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=58566"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=58566"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=58566"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}