{"id":29008,"date":"2021-09-23T21:05:49","date_gmt":"2021-09-23T13:05:49","guid":{"rendered":"https:\/\/swarma.org\/?p=29008"},"modified":"2021-09-23T21:05:49","modified_gmt":"2021-09-23T13:05:49","slug":"%e4%b8%ba%e4%bb%80%e4%b9%88%e7%bb%8f%e6%b5%8e%e5%bf%85%e9%a1%bb%e6%8c%81%e7%bb%ad%e5%a2%9e%e9%95%bf%ef%bc%9f%e5%a4%9a%e4%b8%bb%e4%bd%93%e6%a8%a1%e5%9e%8b%e6%8f%ad%e7%a4%ba%e8%a7%84%e6%a8%a1%e3%80%81","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=29008","title":{"rendered":"\u4e3a\u4ec0\u4e48\u7ecf\u6d4e\u5fc5\u987b\u6301\u7eed\u589e\u957f\uff1f\u591a\u4e3b\u4f53\u6a21\u578b\u63ed\u793a\u89c4\u6a21\u3001\u590d\u6742\u6027\u4e0e\u8d22\u5bcc\u589e\u957f\u7684\u5173\u8054"},"content":{"rendered":"
\n
\n
\n
\n

<\/p>\n<\/section>\n

\n
\n
\n
\n
\n
\n

<\/section>\n<\/section>\n
\n
\n

\u5bfc\u8bed<\/strong><\/p>\n<\/section>\n<\/section>\n

\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
\n
\n

<\/strong>\u73b0\u4ee3\u7ecf\u6d4e\u5df2\u7ecf\u4ece\u7b80\u5355\u7684\u4eba\u7c7b\u4e92\u52a8\u6f14\u53d8\u4e3a\u975e\u5e38\u590d\u6742\u7684\u7cfb\u7edf\u3002\u7ecf\u6d4e\u884c\u4e3a\u4eba\u53ef\u4ee5\u4ed8\u51fa\u4e00\u5b9a\u4ee3\u4ef7\uff0c\u5229\u7528\u7ecf\u6d4e\u4f53\u7684\u81ea\u7531\u5ea6\u5bf9\u5176\u8fdb\u884c\u76d1\u7ba1\u3001\u7be1\u6539\u6216\u5e72\u9884\uff0c\u4f7f\u5f97\u8d22\u5bcc\u6d41\u5411\u5bf9\u4ed6\u4eec\u6709\u5229\u7684\u65b9\u5411\u3002\u5f53\u5e72\u9884\u53d8\u5f97\u666e\u904d\uff0c\u4e0d\u540c\u884c\u4e3a\u4eba\u7684\u5fae\u89c2\u7ecf\u6d4e\u7b56\u7565\u53ef\u4ee5\u5f15\u53d1\u77ed\u671f\u5b8f\u89c2\u7ecf\u6d4e\u6548\u5e94\u3002\u4e00\u4e2a\u201c\u88ab\u64cd\u7eb5\u201d\u7684\u7ecf\u6d4e\u4f53\u4f1a\u5e26\u6765\u600e\u6837\u7684\u6548\u5e94\uff1f\u65e5\u76ca\u589e\u957f\u7684\u7ecf\u6d4e\u590d\u6742\u6027\u548c\u8d22\u5bcc\u89c4\u6a21\u6709\u4f55\u5f71\u54cd?\u57282021\u5e749\u6708\u53d1\u8868\u4e8ePhysical Review X <\/em>\u7684\u4e00\u9879\u7814\u7a76\u4e2d\uff0c\u897f\u73ed\u7259\u56fd\u5bb6\u751f\u7269\u6280\u672f\u4e2d\u5fc3\u7684Lu\u00eds Seoane\u901a\u8fc7\u5efa\u7acb\u535a\u5f08\u6a21\u578b\u6765\u7814\u7a76\u201c\u88ab\u64cd\u7eb5\u201d\u7ecf\u6d4e\u4f53\u53ca\u5176\u52a8\u529b\u5b66\u3002<\/span><\/strong><\/p>\n


<\/p>\n

\u7814\u7a76\u9886\u57df\uff1a\u57fa\u4e8e\u4e3b\u4f53\u7684\u5efa\u6a21\uff0c\u7ecf\u6d4e\u590d\u6742\u6027\uff0c\u5c11\u6570\u8005\u535a\u5f08\uff0c\u591a\u6570\u8005\u535a\u5f08<\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

\n
\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n
<\/strong><\/section>\n<\/section>\n
\n

Sitabhra Sinha<\/span> | \u4f5c\u8005<\/strong><\/span><\/p>\n

\u80e1\u4e00\u51b0<\/span> | <\/strong><\/span>\u8bd1\u8005<\/strong><\/span><\/p>\n

\u5218\u57f9\u6e90<\/span> | \u5ba1\u6821<\/strong><\/span><\/strong><\/span>
<\/p>\n

\u9093\u4e00\u96ea<\/span> | \u7f16\u8f91<\/strong><\/span>
<\/p>\n<\/section>\n


<\/section>\n
   <\/span>
<\/section>\n

\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

1. \u7814\u7a76\u80cc\u666f\uff1a\u88ab\u64cd\u7eb5\u7684\u7ecf\u6d4e<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

<\/h3>\n

\u201c\u7ecf\u6d4e\u88ab\u64cd\u7eb5\u4e86\uff01\u201d\u8fd9\u4e00\u8bf4\u6cd5\u7531Bernie Sanders\u548cDonald Trump\u57282016\u5e74\u7f8e\u56fd\u603b\u7edf\u7ade\u9009\u671f\u95f4\u63d0\u51fa\uff0c\u8fd9\u53ef\u80fd\u662f\u653f\u6cbb\u7acb\u573a\u76f8\u53cd\u7684\u4e24\u4eba\u62e5\u6709\u7684\u552f\u4e00<\/span>\u5171\u540c\u89c2\u5ff5\u3002\u4f46\u201c\u88ab\u64cd\u7eb5\u201d\u5bf9\u7ecf\u6d4e\u4f53\u53ca\u5176\u6f14\u5316\u610f\u5473\u7740\u4ec0\u4e48\uff1f\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u897f\u73ed\u7259\u56fd\u5bb6\u751f\u7269\u6280\u672f\u4e2d\u5fc3\u7684Lu\u00eds Seoane\u5c06\u7ecf\u6d4e\u884c\u4e3a\u4eba<\/span>\uff08Economic actors\uff09<\/span>\u5efa\u6a21\u4e3a\u535a\u5f08<\/span>\u8fc7\u7a0b\u4e2d\u7684\u4e2a\u4f53\u6765\u8fdb\u884c\u63a2\u7d22[1]\uff0c\u8be5\u7814\u7a76\u5df2\u4e8e\u8fd1\u65e5\u53d1\u8868\u5728 Physical Review X <\/em>\u4e0a\u3002<\/span><\/p>\n

       <\/span><\/p>\n

\n
\n
\n

\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Games in rigged economies<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a<\/span><\/p>\n

https:\/\/journals.aps.org\/prx\/abstract\/10.1103\/PhysRevX.11.031058<\/span><\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


<\/p>\n

\u7814\u7a76\u8868\u660e\uff0c\u968f\u7740\u590d\u6742\u6027\u548c\u89c4\u6a21\u7684\u589e\u52a0\uff0c\u53d7\u64cd\u7eb5\u7684\u7ecf\u6d4e\u4f53\u4f1a\u7ecf\u5386\u4e00\u7cfb\u5217\u8f6c\u578b\uff0c\u5e76\u4f34\u968f\u201c\u5361\u7279\u5c14\u201d<\/span>\u7684\u5f62\u6210\u548c\u89e3\u6563\u3002\u5982\u679c\u4e00\u4e2a\u7ecf\u6d4e\u4f53\u7684\u89c4\u6a21\u8ddf\u4e0d\u4e0a\u5176\u65e5\u76ca\u589e\u957f\u7684\u590d\u6742\u6027\uff0c\u8d22\u5bcc\u5206\u914d\u6a21\u5f0f\u5c06\u4f1a\u51fa\u73b0\u5927\u5e45\u6ce2\u52a8\uff0c\u4e0d\u5e73\u7b49\u73b0\u8c61\u6025\u5267\u4e0a\u5347\uff0c\u751a\u81f3\u5bfc\u81f4\u7ecf\u6d4e\u5d29\u6e83<\/strong>\u3002<\/span><\/p>\n

       <\/span>        <\/span><\/p>\n

<\/span><\/section>\n
\u56fe1. \u5361\u7279\u5c14\uff08cartel\uff09\u5373\u5784\u65ad\u5229\u76ca\u96c6\u56e2\uff0c\u662f\u751f\u4ea7\u540c\u7c7b\u5546\u54c1\u7684\u4f01\u4e1a\u4e3a\u4e86\u5784\u65ad\u5e02\u573a\u3001\u83b7\u53d6\u9ad8\u989d\u5229\u6da6\u800c\u8fbe\u6210\u6709\u5173\u5212\u5206\u9500\u552e\u5e02\u573a\u3001\u89c4\u5b9a\u4ea7\u54c1\u4ea7\u91cf\u3001\u786e\u5b9a\u5546\u54c1\u4ef7\u683c\u7b49\u65b9\u9762\u7684\u534f\u8bae\u6240\u5f62\u6210\u7684\u5784\u65ad\u6027\u4f01\u4e1a\u8054\u5408\u3002<\/span><\/section>\n


<\/p>\n

\u4f7f\u7528\u535a\u5f08\u8bba<\/span>\uff08game theory\uff09<\/span>\u6765\u7814\u7a76\u7ecf\u6d4e\u73b0\u8c61\u53ef\u4ee5\u8ffd\u6eaf\u5230\u51af\u00b7\u8bfa\u4f0a\u66fc<\/span>\uff08John von Neumann\uff09<\/span>\u5728\u4e0a\u4e16\u7eaa\u4e2d\u671f\u7684\u5de5\u4f5c[2]\u3002\u6b64\u540e\uff0c\u535a\u5f08\u8bba\u5f88\u5feb\u6210\u4e3a\u7ecf\u6d4e\u5b66\u5bb6\u7684\u901a\u7528\u8bed\u8a00<\/span>\uff08lingua franca\uff09<\/span>\uff0c\u968f\u540e\u4e5f\u53d1\u5c55\u6210\u4e3a\u7269\u7406\u754c\u7684\u4e00\u4e2a\u7814\u7a76\u9886\u57df\u3002\u4f8b\u5982\uff0c\u7edf\u8ba1\u7269\u7406\u5b66\u5bb6\u5df2\u7ecf\u7814\u7a76\u4e86\u4e0d\u540c\u7248\u672c\u7684\u201c\u5c11\u6570\u8005\u535a\u5f08<\/strong>\u201d<\/span>\uff08minority game\uff09<\/span>\u2014\u2014\u5c11\u91cf\u4e2a\u4f53\u5728\u4e24\u4e2a\u53ef\u80fd\u6027\u4e2d\u505a\u51fa\u9009\u62e9\uff0c\u88ab\u6700\u5c11\u4e2a\u4f53\u9752\u7750\u7684\u9009\u9879\u4e3a\u83b7\u80dc\u9009\u62e9\uff0c\u8fd9\u53ef\u4ee5\u7528\u6765\u63a2\u7d22\u7b80\u5355\u7684\u81ea\u9002\u5e94\u7cfb\u7edf\u4e2d\u7684\u6d8c\u73b0\u6027[3]\u3002<\/span><\/p>\n


<\/p>\n

\u5c11\u6570\u8005\u535a\u5f08\u53ef\u4ee5\u7528\u6765\u6a21\u62df\u4e2a\u4f53\u56e0\u4e3a\u7a00\u7f3a\u8d44\u6e90\u800c\u7ade\u4e89\u7684\u60c5\u5f62\uff0c\u5305\u62ec\u91d1\u878d\u5e02\u573a\u3002\u7136\u800c\uff0c\u7ecf\u6d4e\u4e2d\u4e5f\u5b58\u5728\u5927\u591a\u6570\u4eba\u5360\u4f18\u52bf<\/span>\u7684\u60c5\u51b5\u3002\u4f8b\u5982\uff0c\u67d0\u4e2a\u7279\u5b9a\u9009\u9879\u88ab\u4e88\u4ee5\u6b63\u53cd\u9988\uff0c\u5982\u52a0\u5165\u62b5\u5236\u884c\u5217[4]\u3002Seoane\u6307\u51fa\uff0c\u88ab\u64cd\u7eb5\u7684\u7ecf\u6d4e\u4f53\u517c\u5177\u5c11\u6570\u8005\u535a\u5f08\u548c\u591a\u6570\u8005\u535a\u5f08<\/strong><\/span>\uff08majority games\uff09<\/span>\u7684\u7279\u70b9<\/span><\/strong>[5,6]\u3002<\/span><\/p>\n


<\/span><\/p>\n

   <\/span><\/section>\n

\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

2. \u5efa\u6a21\u601d\u8def\uff1a\u7ecf\u6d4e\u5e72\u9884\u4e0b\u7684\u591a\u65b9\u535a\u5f08<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u5728Seoane\u7684\u6a21\u578b\u4e2d\uff0c\u9996\u5148\u5047\u8bbe\u591a\u4e2a\u4e2a\u4f53\u540c\u65f6\u53c2\u4e0e\u591a\u4e2a\u535a\u5f08\u3002\u6bcf\u6b21\u535a\u5f08\u90fd\u9700\u8981\u4ece\u4e24\u4e2a\u5907\u9009\u9879\u4e2d\u9009\u62e9\u4e00\u79cd\u3002\u4e2a\u4f53\u4e5f\u53ef\u4ee5\u901a\u8fc7\u4ed8\u8d39\u7684\u7ecf\u6d4e\u5e72\u9884\u5f62\u5f0f\u6765\u64cd\u7eb5\u535a\u5f08\u8fc7\u7a0b\u4ee5\u652f\u6301\u81ea\u5df1\u7684\u51b3\u7b56\u3002\u5728\u6bcf\u4e00\u8f6e\u4e2d\u6700\u4f18\u51b3\u7b56\u662f\u5927\u591a\u6570\u652f\u4ed8\u8d39\u7528\u7684\u4e2a\u4f53\u6240\u9009\u62e9\u7684\u884c\u52a8\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u6bcf\u4e00\u8f6e\u7531\u82e5\u5e72\u6b21\u535a\u5f08\u7ec4\u6210\uff0c\u589e\u52a0\u6bcf\u4e00\u8f6e\u7684\u535a\u5f08\u6b21\u6570\u53ef\u4ee5\u589e\u52a0\u7ecf\u6d4e\u4e2d\u7684\u81ea\u7531\u5ea6\uff0c\u4ece\u800c\u4e30\u5bcc\u5176\u590d\u6742\u6027<\/strong>\u3002\u6bcf\u4e00\u6b21\u535a\u5f08\u7ed3\u675f\u540e\uff0c\u83b7\u80dc\u4e2a\u4f53\u5c06\u5e73\u5206\u6307\u5b9a\u6570\u989d\u7684\u5956\u91d1\u3002\u5956\u91d1\u7684\u4ef7\u503c\u4e0e\u535a\u5f08\u6b21\u6570\u4e4b\u79ef\u662f\u6bcf\u4e00\u8f6e\u535a\u5f08\u4e2d\u4e2a\u4f53\u4e4b\u95f4\u91cd\u65b0\u5206\u914d\u7684\u201c\u603b\u8d22\u5bcc<\/strong>\u201d\u3002\u56e0\u6b64\uff0c\u8fd9\u4e2a\u201c\u603b\u8d22\u5bcc\u201d\u53ef\u4ee5\u8861\u91cf\u7ecf\u6d4e\u89c4\u6a21\uff0c\u662f\u548c\u590d\u6742\u6027\u4e00\u6837\u91cd\u8981\u7684\u6a21\u578b\u53c2\u6570\u3002<\/span><\/p>\n


<\/span><\/p>\n

       <\/span><\/span><\/p>\n

\u56fe2. \u201c\u88ab\u64cd\u7eb5\u201d\u7ecf\u6d4e\u4f53\u7684\u535a\u5f08\u8fc7\u7a0b\u793a\u610f\u56fe<\/span>
<\/p>\n


<\/p>\n

\u56fe2\u4e3aSeoane\u5728\u7814\u7a76\u4e2d\u6240\u63d0\u51fa\u7684\u535a\u5f08\u6a21\u578b\u793a\u610f\u56fe\u3002\u5b50\u56fe<\/span>\uff08a1\uff09<\/span>\u8868\u793a\u6709\u4e09\u4e2a\u4e2a\u4f53\u53c2\u4e0e\u7ecf\u6d4e\u535a\u5f08\uff0c\u7c89\u8272\u4e00\u884cr\u4ee3\u8868\u5404\u81ea\u662f\u5426\u91c7\u53d6\u7ecf\u6d4e\u5e72\u9884<\/span>\uff08\u9ed1\u8272\u65b9\u5f62\u4ee3\u8868\u91c7\u53d6\uff0c\u767d\u8272\u4ee3\u8868\u672a\u91c7\u53d6\uff09<\/span>\uff0c\u7070\u8272\u4e00\u884ca\u4ee3\u8868\u4e2a\u4f53\u7684\u51b3\u7b56\u884c\u4e3a<\/span>\uff08\u5206\u522b\u6709\u9ed1\u767d\u4e24\u79cd\u72ec\u7acb\u9009\u9879\uff09<\/span>\u3002\u56fe\u4e2d\u6bcf\u4e2a\u4e2a\u4f53\u90fd\u4f1a\u8fdb\u884c\u4e09\u6b21\u535a\u5f08\uff0c\u6bcf\u6b21\u7684<\/span>\u884c\u4e3a\u5747\u8868\u793a\u5728\u5b50\u56fe\uff08a1\uff09\u7684\u9ed1\u8272\u6846\u5185\u3002\u5b50\u56fe\uff08a2-a4\uff09\u53cd\u6620\u6bcf\u4e00\u6b21\u535a\u5f08\u6700\u4f18\u7b56\u7565\u7684\u4ea7\u751f\u3002<\/span><\/p>\n


<\/p>\n

\u5728\u7b2c\u4e00\u6b21\u535a\u5f08\u4e2d\uff0c\u4e09\u4e2a\u4e2a\u4f53\u5747\u672a\u91c7\u53d6\u7ecf\u6d4e\u5e72\u9884\u624b\u6bb5\uff0c\u90a3\u4e48\u6700\u4f18\u7b56\u7565\u4f1a\u5728\u9ed1\u767d\u4e24\u79cd\u7b56\u7565\u4e2d\u968f\u673a\u8bde\u751f\u3002\u5728\u7b2c\u4e8c\u6b21\u535a\u5f08\u4e2d\uff0c\u4e2a\u4f531\u30013\u91c7\u53d6\u7ecf\u6d4e\u5e72\u9884\uff0c\u4f46\u7531\u4e8e\u4e8c\u8005\u9009\u62e9\u6070\u597d\u76f8\u53cd\uff0c\u6700\u4f18\u7b56\u7565\u4f1a\u5728\u4e2a\u4f531\u30013\u4e8c\u4eba\u7684\u9009\u62e9\u4e2d\u968f\u673a\u4ea7\u751f\u3002\u5728\u7b2c\u4e09\u6b21\u535a\u5f08\u4e2d\uff0c\u6240\u6709\u4e2a\u4f53\u90fd\u91c7\u53d6\u7ecf\u6d4e\u5e72\u9884\uff0c\u4e2a\u4f531\u30012\u9009\u62e9\u9ed1\u8272\u7b56\u7565\u540e\u5f62\u6210\u4e86\u591a\u6570\u8005\u4f18\u52bf\uff0c\u5219\u672c\u6b21\u535a\u5f08\u7684\u6700\u4f18\u7b56\u7565\u4e3a\u9ed1\u8272\u3002<\/span><\/p>\n


<\/p>\n

\u4e3a\u4e86\u89c2\u5bdf\u4e2a\u4f53\u6700\u4f18\u7b56\u7565\u968f\u7740\u7ecf\u6d4e\u53d1\u5c55\u5982\u4f55<\/span>\u53d8\u5316\uff0cSeoane\u5728\u6a21\u578b\u4e2d\u52a0\u5165\u4e86\u8fdb\u5316\u8fc7\u7a0b<\/strong>\uff1a\u4e2a\u4f53\u53ef\u4ee5\u5728\u6bcf\u4e00\u8f6e\u535a\u5f08\u7ed3\u675f\u540e\u590d\u5236\u4e4b\u524d\u7684\u884c\u4e3a\uff0c\u4e4b\u540e\u6bcf\u4e2a\u5b50\u4ee3\u90fd\u6709\u5f88\u9ad8\u7684\u6982\u7387\u91c7\u7528\u4e0e\u5176\u4eb2\u4ee3\u76f8\u540c\u7684\u7b56\u7565\u3002\u7531\u4e8e\u590d\u5236\u6210\u672c\u662f\u56fa\u5b9a\u7684\uff0c\u66f4\u591a\u6536\u76ca\u7684\u4e2a\u4f53\u4f1a\u590d\u5236\u51fa\u66f4\u591a\u7684\u53c2\u4e0e\u8005\u3002<\/span><\/p>\n

       <\/span>        <\/span>
<\/p>\n

<\/span><\/p>\n

<\/span><\/p>\n

\u56fe3.\u201c\u88ab\u64cd\u7eb5\u201d\u7ecf\u6d4e\u4f53\u53ca\u5176\u6f14\u5316<\/span><\/p>\n


<\/p>\n

\u56fe3\u53cd\u6620\u57fa\u4e8e\u7279\u5b9a\u53c2\u6570\u503c\u7684\u201c\u88ab\u64cd\u7eb5\u201d\u7ecf\u6d4e\u4f53\u968f\u65f6\u95f4\u7684\u6f14\u5316\u6a21\u62df\u7ed3\u679c\u3002\u5b50\u56fe\uff08b\uff09\u7684\u7eb5\u8f74 N(t) <\/span>\u4e3a\u53c2\u4e0e\u535a\u5f08\u7684\u4e2a\u4f53\u6570\uff0c\u5f53\u4e00\u4e2a\u4e2a\u4f53\u7684\u8d22\u5bcc\u9ad8\u4e8e\u67d0\u4e2a\u7279\u5b9a\u9608\u503c\uff0c\u5c06\u4f1a\u4ea7\u751f\u5b50\u4ee3\u53c2\u4e0e\u8005\uff0c\u7cfb\u7edf\u535a\u5f08\u4e2a\u4f53\u6570\u589e\u52a0\uff1b\u76f8\u53cd\uff0c\u5f53\u67d0\u4e2a\u4f53\u7684\u8d22\u5bcc\u503c\u5c0f\u4e8e0\uff0c\u5219\u5c06\u88ab\u79fb\u51fa\u7cfb\u7edf\u3002\u5b50\u56fe\uff08c\uff09\u4e2d\u7684\u71b5 h<\/span>a<\/sub><\/span>(t) <\/span>\u53cd\u6620\u53c2\u4e0e\u8005\u51b3\u7b56\u7684\u5f02\u8d28\u6027\u7a0b\u5ea6\uff0ch<\/span>a<\/sub><\/span>(t)<\/span>=0<\/span>\uff0c\u4ee3\u8868\u6240\u6709\u4e2a\u4f53\u505a\u51fa\u76f8\u540c\u51b3\u7b56\u3002\u5b50\u56fe\uff08d\uff09\u4e2d\u7684 r(t) <\/span>\u8868\u793a\u7cfb\u7edf\u5185\u6240\u6709\u7684\u7ecf\u6d4e\u5e72\u9884\u538b\u529b\uff0c\u5373\u5171\u6709\u591a\u5c11\u4e2a\u4f53\u540c\u65f6\u91c7\u53d6\u7ecf\u6d4e\u5e72\u9884\u3002<\/span><\/p>\n


<\/p>\n

   <\/span>
<\/section>\n

\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

3. \u7814\u7a76\u7ed3\u8bba\uff1a\u4e2a\u4f53\u4e4b\u95f4\u5173\u7cfb\u7684\u6f14\u53d8<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

Seoane\u6ce8\u610f\u5230\uff0c\u5728\u590d\u6742\u5ea6\u56fa\u5b9a\u7684\u60c5\u51b5\u4e0b\uff0c\u5c0f\u578b\u7ecf\u6d4e\u4f53\u4e2d\u4f1a\u4ea7\u751f\u5177\u6709\u4e0d\u540c\u7b56\u7565\u7684\u4e2a\u4f53\uff0c\u5e76\u4e14\u83b7\u80dc\u8005\u901a\u5e38\u503e\u5411\u4e8e\u5c11\u6570\u6d3e\u3002\u968f\u7740\u7ecf\u6d4e\u89c4\u6a21\u7684\u6269\u5927\uff0c\u4e2a\u4f53\u53ef\u4ee5\u83b7\u5f97\u66f4\u591a\u8d22\u5bcc\u6765\u7e41\u884d\u540e\u4ee3\uff0c\u5e76\u652f\u4ed8\u64cd\u7eb5\u535a\u5f08\u6240\u9700\u7684\u5e72\u9884\u6210\u672c\u3002\u4e8e\u662f\uff0c\u4e2a\u4f53\u4ece\u5c11\u6570\u8005\u535a\u5f08\u8f6c\u5411\u591a\u6570\u8005\u535a\u5f08\uff0c\u8fd9\u610f\u5473\u7740<\/strong>\u7ecf\u6d4e\u589e\u957f\u5bfc\u81f4\u4e2a\u4f53\u4e4b\u95f4\u5173\u7cfb\u5411\u534f\u4f5c\u8fc7\u6e21\uff0c\u5373\u5361\u7279\u5c14\u5f62\u6210\uff0c\u7b56\u7565\u591a\u6837\u6027\u968f\u4e4b\u4e0b\u964d<\/strong>\u3002<\/span><\/p>\n


<\/p>\n

\u53cd\u4e4b\uff0c\u5982\u679c\u590d\u6742\u6027<\/span>\uff08\u6bcf\u8f6e\u535a\u5f08\u6b21\u6570\uff09<\/span>\u7684\u589e\u957f\u901f\u5ea6\u5feb\u4e8e\u7ecf\u6d4e\u7684\u589e\u957f\u901f\u5ea6\uff0c\u6bcf\u6b21\u535a\u5f08\u7684\u76f8\u5bf9\u6536\u76ca\u5c06\u4f1a\u51cf\u5c11\uff0c\u4e2a\u4f53\u4f1a\u5728\u591a\u6b21\u535a\u5f08\u4e2d\u5bfb\u627e\u88ab\u5c11\u6570\u4eba\u9752\u7750\u7684\u9009\u9879\u3002\u8fd9\u4e00\u8f6c\u53d8\u53c8\u5c06\u5bfc\u81f4\u5361\u7279\u5c14\u7684\u89e3\u4f53\uff0c\u4e2a\u4f53\u53ef\u91c7\u7528\u7684\u7b56\u7565\u4e5f\u66f4\u591a\u6837\u5316\u3002<\/span><\/p>\n


<\/p>\n

Seoane\u8fd8\u7814\u7a76\u4e86\u7ecf\u6d4e\u4f53\u5728\u5176\u4ed6\u89c4\u6a21-\u590d\u6742\u6027\u5173\u7cfb\u4e0b\u7684\u8fd0\u884c\u60c5\u51b5\u3002\u4f8b\u5982\uff0c\u5f53\u6bcf\u6b21\u535a\u5f08\u4e2d\u7684\u7ecf\u6d4e\u5e72\u9884\u603b\u989d\u6052\u5b9a\uff0c\u7ecf\u6d4e\u89c4\u6a21\u5c31\u4f1a\u968f\u7740\u535a\u5f08\u6b21\u6570\u7684\u589e\u52a0\u800c\u5448\u7ebf\u6027\u589e\u957f\u3002\u5728\u8fd9\u4e2a\u5173\u952e\u7684\u201c\u590d\u6742\u6027\u9608\u503c\u201d\u4e0a\uff0c\u4e2a\u4f53\u6570\u91cf\u89c4\u6a21\u7684\u5206\u5e03\u4ece\u5355\u5cf0\u578b\u5411\u53cc\u5cf0\u578b\u8f6c\u53d8\uff0c\u5982\u56fe4\u5b50\u56fe\uff08e\uff09\u6240\u793a\u3002\u8fd9\u4e00\u8f6c\u53d8\u5f15\u8d77\u4e2a\u4f53\u6570\u91cf\u7684\u6781\u5927\u6ce2\u52a8\uff0c\u751a\u81f3\u80fd\u5a01\u80c1\u5230\u7ecf\u6d4e\u7684\u7a33\u5b9a\u3002\u8be5\u8f6c\u53d8\u4e5f\u80fd\u901a\u8fc7\u4e2a\u4f53\u8d22\u5bcc\u7684\u5206\u5e03\u4f53\u73b0\u51fa\u6765\uff0c\u5728\u5927\u5e45\u6ce2\u52a8\u7684\u60c5\u51b5\u4e0b\u8d22\u5bcc\u5206\u5e03\u7684\u5c3a\u5ea6\u53d8\u5bbd\uff0c\u5373\u4e2a\u4f53\u95f4\u7684\u4e0d\u5e73\u7b49\u73b0\u8c61\u52a0\u5267<\/strong>\uff0c\u5982\u56fe4\u5b50\u56fe\uff08g\uff09\u6240\u793a\u3002<\/span><\/p>\n


<\/p>\n

       <\/span>        <\/span><\/p>\n

\u56fe4.\u4e2a\u4f53\u89c4\u6a21N\u3001\u603b\u8d22\u5bcc\u03c9\u548c\u4eba\u5747\u8d22\u5bcc\u503c\u03c9\/N\u7684\u5206\u5e03\u60c5\u51b5\u3002<\/span><\/p>\n


<\/span><\/section>\n
   <\/span><\/section>\n

\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

4. \u7814\u7a76\u542f\u793a\uff1a\u5784\u65ad\u4e0e\u53cd\u5784\u65ad<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

Seoane\u89c2\u5bdf\u5230\u7684\u4e00\u4e9b\u7ed3\u679c\u6765\u81ea\u4e8e\u4ed6\u5728\u5efa\u6a21\u65f6\u505a\u51fa\u7684\u7279\u5b9a\u9009\u62e9\u3002\u4f8b\u5982\uff0c\u7ecf\u6d4e\u89c4\u6a21\u589e\u957f\u65f6\uff0c\u5411\u4e2a\u4f53\u534f\u4f5c\u884c\u4e3a\u7684\u8fc7\u6e21\u53ef\u80fd\u662f\u7531\u4e8e\u5047\u8bbe\u5e72\u9884\u6210\u672c\u4e00\u6210\u4e0d\u53d8\u3002\u5728\u73b0\u5b9e\u4e2d\uff0c\u5e72\u9884\u6210\u672c\u4e0e\u7ecf\u6d4e\u89c4\u6a21\u6709\u5173\uff0c\u5e76\u4f1a\u56e0\u53c2\u4e0e\u8005\u800c\u5f02\u3002\u8fd9\u4e2a\u6a21\u578b\u7684\u53e6\u4e00\u4e2a\u7455\u75b5\u662f\u5047\u8bbe\u6240\u6709\u7684\u4e2a\u4f53\u90fd\u6709\u80fd\u529b\u64cd\u7eb5\u6e38\u620f\uff0c\u8fd9\u5ffd\u7565\u4e86\u73b0\u5b9e\u7ecf\u6d4e\u4e2d\u5bcc\u4eba\u4e0e\u7a77\u4eba\u4e0d\u5bf9\u79f0\u7684\u7ecf\u6d4e\u5f71\u54cd\u529b\u3002<\/span><\/p>\n


<\/p>\n

\u5373\u4f7f\u6709\u8fd9\u4e9b\u4e0d\u8db3\uff0cSeoane\u7684\u6a21\u578b\u4ecd\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002\u5b83\u4e3a\u540e\u6765\u7814\u7a76\u8005\u63d0\u4f9b\u4e86\u4e00\u4e2a\u63a2\u7d22\u73b0\u5b9e\u4e16\u754c\u4e2d\u53d7\u64cd\u7eb5\u7684\u7ecf\u6d4e\u4f53\u7684\u6846\u67b6<\/strong>\uff0c\u6bd4\u5982\u5728\u67d0\u4e9b\u7ecf\u6d4e\u4f53\u4e2d\u4e2a\u4f53\u63a5\u6536\u4fe1\u606f\u80fd\u529b\u5404\u6709\u4e0d\u540c\u3002<\/span><\/p>\n


<\/p>\n

\u4f8b\u5982\uff0c\u4fee\u6539\u6a21\u578b\u53c2\u6570\u6216\u8bb8\u53ef\u4ee5\u53cd\u6620\u51fa\uff0c\u4fe1\u606f\u5f31\u52bf\u4e2a\u4f53\u5982\u4f55\u5229\u7528\u534f\u4f5c\u7684\u4ea7\u751f\u6765\u83b7\u53d6\u4f18\u52bf\uff0c\u5c31\u50cf\u5176\u4ed6\u57fa\u4e8e\u4e2a\u4f53\u7684\u6a21\u578b[8]\u6240\u53d1\u73b0\u7684\u90a3\u6837\u3002\u4e2d\u4e16\u7eaa\u5546\u4e1a\u884c\u4f1a\u7684\u5386\u53f2\u8868\u660e\uff0c\u5b9e\u529b\u8f83\u5f31\u7684\u73a9\u5bb6\u4f1a\u5bf9\u7cfb\u7edf\u8fdb\u884c\u8fd9\u6837\u7684\u53cd\u64cd\u7eb5\uff0c\u8fd9\u4e9b\u673a\u6784\u901a\u8fc7\u8054\u5408\u7981\u8fd0\u6765\u62b5\u5236\u5f3a\u5927\u7684\u5730\u65b9\u7edf\u6cbb\u8005\u7684\u8086\u610f\u5f81\u7528\uff0c\u8bc1\u660e\u4e86\u4e00\u4e2a\u88ab\u64cd\u7eb5\u7684\u7ecf\u6d4e\u73af\u5883\u5e76\u4e0d\u4e00\u5b9a\u610f\u5473\u7740\u5c0f\u4eba\u7269\u6ca1\u6709\u673a\u4f1a\u5bf9\u6297\u5f3a\u8005\u3002<\/span><\/p>\n


<\/p>\n

\u53c2\u8003\u6587\u732e<\/span><\/strong><\/span><\/h3>\n

[1]L. F. Seoane, \u201cGames in rigged economies,\u201d Phys. Rev. X 11, 031058 (2021).<\/span><\/p>\n

[2]J. von Neumann and O. Morgenstern, Theory of games and economic behavior (Princeton University Press, Princeton, 1944)[Amazon][WorldCat].<\/span><\/p>\n

[3]D. Challet et al., Minority games: Interacting agents in financial markets (Oxford University Press, New York, 2005)[Amazon][WorldCat].<\/span><\/p>\n

[4]T. C. Schelling, Micromotives and macrobehavior (W. W. Norton, New York, 1978)[Amazon][WorldCat].<\/span><\/p>\n

[5]J. Vitting Andersen and D. Sornette, \u201cThe $-game,\u201d Eur. Phys. J. B 31, 141 (2003).<\/span><\/p>\n

[6]Y. Baek et al., \u201cMarket behavior and performance of different strategy evaluation schemes,\u201d Phys. Rev. E 82, 026109 (2010).<\/span><\/p>\n

[7]J. E. Stiglitz, \u201cThe American economy is rigged,\u201d Sci. Am. 319, 56 (2018).<\/span><\/p>\n

[8]V. Sasidevan et al., \u201cWhen big data fails: Adaptive agents using coarse-grained information have competitive advantage,\u201d Phys. Rev. E 98, 020301 (2018).<\/span><\/p>\n

[9]A. Greif et al., \u201cCoordination, commitment, and enforcement: The case of the merchant guild,\u201d J. Polit. Econ. 102, 745 (1994).<\/span><\/p>\n


<\/p>\n

\u539f\u6587\uff1ahttps:\/\/physics.aps.org\/articles\/v14\/129<\/span><\/section>\n

<\/section>\n

<\/span><\/p>\n

\n
\n
\n
\n
\n
\n

\u590d\u6742\u7ecf\u6d4e\u5b66\u8bfb\u4e66\u4f1a<\/strong><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h2>\n


<\/span><\/p>\n

\u968f\u7740\u6280\u672f\u5347\u7ea7\u52a0\u5feb\u548c\u793e\u4f1a\u73af\u5883\u8fc5\u901f\u53d8\u5316\uff0c\u7ecf\u5178\u7ecf\u6d4e\u5b66\u7406\u8bba\u6bcf\u6bcf\u6349\u895f\u89c1\u8098\uff0c\u4ee5\u590d\u6742\u7ecf\u6d4e\u5b66\u4e3a\u4ee3\u8868\u7684\u65b0\u601d\u60f3\u65b0\u65b9\u6cd5\u5e94\u8fd0\u800c\u751f\u3002\u4f5c\u4e3a\u5bf9\u4f20\u7edf\u4e3b\u6d41\u7ecf\u6d4e\u5b66\u7684\u8865\u5145\u548c\u8d85\u8d8a\uff0c\u590d\u6742\u6027\u7ecf\u6d4e\u5b66\u5c06\u7ecf\u6d4e\u89c6\u4e3a\u4e00\u4e2a\u6f14\u5316\u7684\u590d\u6742\u7cfb\u7edf\uff0c\u4ee5\u975e\u5747\u8861\u4f5c\u4e3a\u57fa\u672c\u524d\u63d0\uff0c\u878d\u5408\u4e86\u7ecf\u6d4e\u5b66\u4e0e\u590d\u6742\u6027\u79d1\u5b66\u7b49\u5b66\u79d1\uff0c\u6b63\u5728\u8d70\u8fdb\u4e3b\u6d41\u7ecf\u6d4e\u5b66\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u96c6\u667a\u4ff1\u4e50\u90e8\u57282021\u5e741\u6708-6\u6708\u7ec4\u7ec7\u4e86\u590d\u6742\u7ecf\u6d4e\u5b66\u7cfb\u5217\u8bfb\u4e66\u4f1a\uff0c\u7ec4\u7ec7\u5b66\u754c\u548c\u4e1a\u754c\u7684\u670b\u53cb\u7814\u8bfb\u5206\u4eab\u786c\u6838\u8bba\u6587\uff0c\u5f62\u6210\u4e86\u8d85\u8fc7200\u4eba\u7684\u590d\u6742\u7ecf\u6d4e\u5b66\u793e\u533a\u3002\u76ee\u524d\u8bfb\u4e66\u4f1a\u7b2c\u4e00\u5b63\u8ba1\u5212\u5185\u5bb9\u5df2\u5b8c\u7ed3\uff0c\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u7ee7\u7eed\u62a5\u540d\u8bfb\u4e66\u4f1a\u3002\u62a5\u540d\u8bfb\u4e66\u4f1a\u5373\u53ef\u53c2\u4e0e\u590d\u6742\u7ecf\u6d4e\u5b66\u793e\u533a\uff0c\u5e76\u89e3\u9501\u7b2c\u4e00\u5b63\u5f55\u64ad\u6743\u9650\u3002<\/span><\/p>\n


<\/span><\/p>\n

<\/span>\u8be6\u60c5\u53ca\u62a5\u540d\u8bf7\u53c2\u8003\uff1a<\/span>\u590d\u6742\u7ecf\u6d4e\u5b66\u8bfb\u4e66\u4f1a\u542f\u52a8\u62db\u52df\uff0c\u4e00\u8d77\u63a2\u7d22\u975e\u5747\u8861\u7684\u3001\u6f14\u5316\u7684\u7ecf\u6d4e\u7cfb\u7edf<\/a><\/span><\/strong><\/span><\/p>\n


<\/p>\n


<\/p>\n


<\/section>\n
\n

\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n