{"id":6054,"date":"2026-01-11T08:12:34","date_gmt":"2026-01-11T00:12:34","guid":{"rendered":"https:\/\/yiqihuijia.com.cn\/index.php\/2026\/01\/11\/%e7%8b%ac%e5%ae%b6%e4%b8%93%e8%ae%bf%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e7%ae%97%e6%b3%95%e5%bc%80%e5%8f%91%e8%80%85%e5%8d%a1%e5%86%85%e5%9f%ba%e6%a2%85%e9%9a%86%e5%a4%a7%e5%ad%a6%e5%b8%83%e6%9c%97\/"},"modified":"2026-01-11T08:12:34","modified_gmt":"2026-01-11T00:12:34","slug":"%e7%8b%ac%e5%ae%b6%e4%b8%93%e8%ae%bf%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e7%ae%97%e6%b3%95%e5%bc%80%e5%8f%91%e8%80%85%e5%8d%a1%e5%86%85%e5%9f%ba%e6%a2%85%e9%9a%86%e5%a4%a7%e5%ad%a6%e5%b8%83%e6%9c%97","status":"publish","type":"post","link":"https:\/\/qqovblr.com\/index.php\/2026\/01\/11\/%e7%8b%ac%e5%ae%b6%e4%b8%93%e8%ae%bf%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e7%ae%97%e6%b3%95%e5%bc%80%e5%8f%91%e8%80%85%e5%8d%a1%e5%86%85%e5%9f%ba%e6%a2%85%e9%9a%86%e5%a4%a7%e5%ad%a6%e5%b8%83%e6%9c%97\/","title":{"rendered":"\u72ec\u5bb6\u4e13\u8bbf\u5fb7\u5dde\u6251\u514b\u7b97\u6cd5\u5f00\u53d1\u8005\u5361\u5185\u57fa\u6885\u9686\u5927\u5b66\u5e03\u6717\u535a\u58eb\uff1aAI\u5982\u4f55\u51fb\u8d25\u4eba\u7c7b\u9876\u5c16\u6251\u514b\u73a9\u5bb6\uff1f"},"content":{"rendered":"<p>\u4e0a\u4e2a\u6708\uff0c\u4e0a\u6f14\u4e00\u573a\u5355\u6311\u65e0\u9650\u6ce8<a href='\/index.php\/2026\/01\/11\/%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8bjj%e5%af%b9qq%e6%88%98%e7%95%a5%e6%8e%a2%e8%ae%a8%ef%bc%8c%e7%bf%bb%e5%89%8d%e5%88%b0%e4%b8%8b%e6%b3%a8%e7%9a%84%e8%89%ba%e6%9c%af%e5%85%a8%e8%a7%a3%e6%9e%90\/' title='\u5fb7\u5dde\u6251\u514b' target='_blank'>\u5fb7\u5dde\u6251\u514b<\/a>\u4eba\u673a\u5bf9\u6218\uff0c\u5176\u4e2d\uff0c\u5361\u8010\u57fa\u6885\u9686\u5927\u5b66\u6240\u7814\u53d1\u7684AI\u7a0b\u5e8f<a href='\/index.php\/2026\/01\/01\/alphago%e4%b9%8b%e5%90%8elibratus%e6%9d%a5%e8%a2%ad%ef%bc%8c%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e6%94%bb%e5%85%8b%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b\/' title='Libratus' target='_blank'>Libratus<\/a>\u767b\u573a\uff0c\u5b83\u6bcf100\u624b\u80fd\u8d62\u5bf9\u624b14\u500d\u5927\u76f2\u6ce8\uff0c\u4e5f\u5c31\u662f14bb\/100\uff0c\u6700\u7ec8\uff0c\u7adf\u5b8c\u80dc\u4e16\u754c\u7ea7\u4eba\u7c7b\u73a9\u5bb6\u56e2\u961f\uff0c\u8fd9\u4e00\u5e55\uff0c\u9707\u60ca\u4e86\u6240\u6709\u5728\u573a\u4eba\u5458 \u3002<\/p>\n<p>\u6311\u6218\u8d5b\u603b\u5171\u8fdb\u884c\u4e86\u5341\u4e8c\u4e07\u624b\uff0c\u6700\u7ec8Libratus\u83b7\u5f97\u4e86\u4e00\u767e\u4e03\u5341\u4e03\u4e07\u516d\u5343\u4e8c\u767e\u4e94\u5341\u4e2a\u7b79\u7801\uff0c\u63a5\u8fd1\u4e5d\u5341\u6b21\u4e70\u5165\u3002\u5c3d\u7ba1\u4eba\u7c7b\u73a9\u5bb6\u5927\u8d25\u4e8f\u8f93\uff0c\u7136\u800c\u5e78\u8fd0\u4e4b\u5904\u5728\u4e8e\u4ed6\u4eec\u5e76\u4e0d\u9700\u8981\u5b9e\u5b9e\u5728\u5728\u5730\u4e2a\u4eba\u638f\u94b1\u628a\u8f93\u6389\u7684\u94b1\u4ed8\u7ed9\u8d62\u5bb6Libratus\uff08\u5c3d\u7ba1\u4ed6\u4eec\u524d\u6765\u53c2\u4e0e\u8fd9\u573a\u5bf9\u6297\u8d5b\u4e5f\u9700\u8981\u4ea4\u7eb3\u8d39\u7528\uff09\u3002<\/p>\n<p>Noam Brown\u8fd9\u4f4d<a href='\/index.php\/2026\/01\/01\/cmu%e5%9b%a2%e9%98%9f%e6%8f%90%e5%87%ba%e5%85%a8%e6%96%b0%e5%be%b7%e6%89%91ai-modicum%ef%bc%8c%e7%ac%94%e8%ae%b0%e6%9c%ac%e7%ab%9f%e8%83%bd%e6%89%93%e8%b4%a5%e8%b6%85%e7%ae%97\/' title='CMU' target='_blank'>CMU<\/a>\u535a\u58eb\u8bc4\u4ef7\u8bf4\uff0cLibratus\u582a\u79f0\u201cAI\u6251\u514b\u754c\u7684\u5723\u676f\uff08the holy grail \uff09\u201d\uff0c\u5b83\u662f\u7531Noam Brown\u548cCMU\u6559\u6388Tuomas Sandholm\u5171\u540c\u7814\u53d1\u7684\uff0c\u662fCMU\u8fd9\u4e00\u7cfb\u5217\u6251\u514b\u673a\u5668\u4eba\u91cc\u6700\u65b0\u7684\u4e00\u6b3e\uff0c\u5728\u6b64\u4e4b\u524d\uff0c\u6ca1\u6709\u4efb\u4f55\u673a\u5668\u4eba\u80fd\u591f\u5728\u5355\u6311\u65e0\u9650\u6ce8\u5fb7\u5dde\u6251\u514b\u4e2d\u6253\u8d25\u4e16\u754c\u7ea7\u4eba\u7c7b\u9009\u624b\u3002<\/p>\n<p>\u5728Brown\u7684\u8ba4\u77e5\u8303\u56f4\u5185\uff0cLibratus\u5b58\u5728\u76f8\u5f53\u5927\u7684\u53d1\u5c55\u53ef\u80fd\u6027\u7a7a\u95f4\u5177\u4f53\u8868\u73b0\u4e3a\uff0c\u4ece\u7406\u8bba\u5c42\u9762\u6765\u8bb2\uff0c\u5347\u7ea7\u7248\u7684Libratus\u80fd\u591f\u8fbe\u621050bb\/100\u7684\u6210\u7ee9\uff0c\u8bd1\u8005\u6ce8\u91ca\u4e3a\u5347\u7ea7\u540e\u7684Libratus\u6bcf100\u624b\u80fd\u591f\u6218\u80dc\u4eba\u7c7b\u5bf9\u624b50\u500d\u5927\u5c0f\u76f2\uff0c\u8fd9\u610f\u5473\u7740\u8fd8\u67093.5\u500d\u7684\u6f5c\u529b\u6316\u6398\u7a7a\u95f4\u3002\u8fd1\u65e5\uff0c\u4e16\u754c\u77e5\u540d\u6251\u514b\u724c\u6742\u5fd7Card Player\u9488\u5bf9Brown\u5c55\u5f00\u4e86\u4e13\u8bbf\uff0c\u6d89\u53ca\u4e86\u89e3AI\u6251\u514b\u7814\u7a76\u7684\u5386\u53f2\u53d1\u5c55\u8fdb\u7a0b\u4ee5\u53ca\u672a\u6765\u8d70\u5411\u7b49\u76f8\u5173\u95ee\u9898\u3002\u4ee5\u4e0b\u662f\u96f7\u950b\u7f51\u8fdb\u884c\u7684\u7f16\u8bd1\u6807\u70b9\u7b26\u53f7\u3002<\/p>\n<p>Brown<\/p>\n<p>Card Player<\/p>\n<p>\uff1a\u60a8\u5bf9\u8fd9\u6b21\u5bf9\u6218\u7ed3\u679c\u611f\u5230\u60ca\u8bb6\u5417\uff1f<\/p>\n<p>Brown<\/p>\n<p>\u5b9e\u9645\u4e0a\uff0c\u6211\u7740\u5b9e\u633a\u8be7\u5f02\u7684\uff0c\u6211\u672a\u66fe\u6599\u5230AI\u80fd\u591f\u80dc\u4efb\u5f97\u8fd9\u822c\u51fa\u8272\u3002\u5148\u524d\uff0c\u6211\u4eec\u4e3a\u4e86\u6d4b\u9a8cAI\u6210\u6548\uff0c\u5b89\u6392\u5b83\u4e0eClaudico\u8fdb\u884c\u8fc7\u5bf9\u6297\uff0c\u5176\u7ed3\u679c\u662fLibratus\u4ee510\u81f312bb\/100\u51fb\u8d25\u4e86Claudico\uff0c\u6b64\u6210\u7ee9\u4f18\u4e8e2015\u5e74Claudico\u4e0e\u4eba\u7c7b\u5bf9\u6297\u7684\u6210\u679c\uff0c\u90a3\u6b21\u5bf9\u6297\u4e2dAI\u8f93\u7ed9\u4e86\u4eba\u7c7b\u9009\u624b\uff0c\u4e0d\u8fc7\u4e8c\u8005\u5dee\u8ddd\u4e0d\u7b97\u5927\u3002\u6545\u800c\u6211\u4eec\u5b58\u6709\u8fd9\u6837\u7684\u611f\u89c9\uff0c\u5728\u6b64\u6b21\u4eba\u673a\u5bf9\u6218\u4e4b\u4e2d\uff0cLibratus\u5177\u5907\u7684\u80dc\u7b97\u4f1a\u76f8\u5bf9\u6027\u5927\u90a3\u4e48\u4e00\u4e9b\uff0c\u7136\u800c\u5374\u65e0\u6cd5\u786e\u5207\u77e5\u6653\u7a76\u7adf\u4f1a\u53d6\u80dc\u5230\u4f55\u79cd\u7a0b\u5ea6\u3002\u6240\u4ee5\u5f53\u6b64\u6b21\u7ed3\u679c\u5f97\u4ee5\u5448\u73b0\u51fa\u6765\u4e4b\u9645\uff0c\u6211\u4eec\u5bf9\u4e8eAI\u80fd\u591f\u5448\u73b0\u51fa\u90a3\u822c\u5353\u8d8a\u7684\u8868\u73b0\u611f\u5230\u6781\u4e3a\u8be7\u5f02\u3002<\/p>\n<p>Card Player<\/p>\n<p>\u90a3\u4e48\u5b9e\u9645\u4e0a\u90a3\u4e2a\u65f6\u5019\u4f60\u4eec\u662f\u89c9\u5f97\uff0c\u4eba\u5de5\u667a\u80fd\u8fd8\u4e0d\u80fd\u591f\u51ed\u501f14bb\/100\u53bb\u6218\u80dc\u4eba\u7c7b\u5bf9\u4e0d\u5bf9\uff0c\u662f\u8fd9\u6837\u7684\u5417 \uff1f<\/p>\n<p>Brown<\/p>\n<p>\u662f\u8fd9\u6837\u7684\u60c5\u51b5\uff0c\u6211\u4eec\u5e76\u4e0d\u6e05\u695a\uff0c\u4eba\u7c7b\u7a76\u7adf\u76f8\u8f83\u4e8eClaudico\u5389\u5bb3\u5230\u4f55\u79cd\u7a0b\u5ea6\uff0c\u5b58\u5728\u7740\u591a\u5c11\u662fAI\u9700\u8981\u53bb\u63d0\u5347\u7684\u90e8\u5206 \uff0c\u8fd8\u9700\u8bf4\u660e\u7684\u662f\uff0c\u57282015\u5e74\u90a3\u573a\u5bf9\u6218\u5f53\u4e2d\uff0c\u4eba\u7c7b\u9009\u624b\u53d1\u89c9\u5e76\u4e14\u5341\u5206\u5145\u5206\u5730\u5229\u7528\u4e86Claudico\u7684\u6f0f\u6d1e\uff0c\u53e5\u53f7\u3002<\/p>\n<p>\u6bd4\u65b9\u8bf4\uff0c\u4ed6\u4eec\u81f4\u4f7fClaudico\u591a\u6b21\u8fd0\u7528\u201c\u6e9c\u8fdb\u201d\u8fd9\u79cd\u6218\u672f\uff0c\uff08\u8bd1\u8005\u6ce8\uff1alimp\uff0c\u7ffb\u724c\u524d\u4e13\u7528\u540d\u8bcd\uff0c\u6b64\u4e3a\u73a9\u5bb6\u4e0d\u505a\u4efb\u4f55\u52a0\u6ce8\uff0c\u4ec5\u4ec5\u53ea\u8ddf\u8fdb1\u500d\u5927\u76f2\u6ce8\u7684\u60c5\u51b5\uff09 \u3002<\/p>\n<p>\u8fd9\u4e00\u62db\u5177\u5907\u663e\u8457\u6210\u6548\uff0c\u662f\u4eba\u7c7b\u73a9\u5bb6\u51fb\u8d25Claudico\u7684\u6838\u5fc3\u8981\u70b9\u3002\u7136\u800c\uff0cLibratus\u5e76\u975e\u501f\u52a9\u5229\u7528\u5bf9\u65b9\u5f31\u70b9\u83b7\u53d6\u80dc\u5229\u3002\u5728Libratus\u4e0eClaudico\u5bf9\u6218\u4e4b\u9645\uff0cLibratus\u80fd\u591f\u4e8e\u4e0d\u5229\u7528\u540e\u8005\u5f31\u70b9\u7684\u60c5\u5f62\u4e0b\uff0c\u4ee510\u81f312bb\/100\u7684\u6bd4\u4f8b\u6218\u80dcClaudico\uff0c\u8fd9\u8868\u660e\u5018\u82e5Libratus\u4e0d\u5b58\u5728\u4efb\u4f55\u5f31\u70b9\uff0c\u4fbf\u4f1a\u6bd4\u4eba\u7c7b\u66f4\u4e3a\u5f3a\u52b2\u3002\u800cLibratus\u6b64\u6b21\u6210\u529f\u6253\u8d25\u4eba\u7c7b\uff0c\u5176\u7f18\u7531\u5c31\u5728\u4e8e\u5b83\u4e0d\u5b58\u5728\u4efb\u4f55\u53ef\u4f9b\u4eba\u7c7b\u5229\u7528\u7684\u5f31\u70b9\u3002<\/p>\n<p>Card Player<\/p>\n<p>\u5f53\u4eba\u7c7b\u73a9\u5bb6\u7d27\u7d27\u8ffd\u8d76\u6bd4\u5206\uff0c\u4f7f\u5f97\u5bf9\u6218\u8fdb\u5165\u5230\u767d\u70ed\u5316\u9636\u6bb5\u4e4b\u9645\uff0c\u4f60\u662f\u4e0d\u662f\u5728\u601d\u7d22\u5bf9\u624b\u6216\u8bb8\u5df2\u7ecf\u5bfb\u89c5\u5230\u4e86Libratus\u7684\u5f31\u70b9\uff0c\u6291\u6216\u662f\u8bf4\u4f9d\u65e7\u6ee1\u6000\u4fe1\u5fc3\u5462\uff1f<\/p>\n<p>Brown<\/p>\n<p>\u5373\u5c06\u8fc8\u5411\u7b2c\u4e00\u5468\u6bd4\u8d5b\u7684\u5c3e\u58f0\u9636\u6bb5\uff0c\u53cc\u65b9\u6001\u52bf\u8fd1\u4e4e\u6301\u5e73\u3002\u4eba\u7c7b\u53c2\u8d5b\u9009\u624b\u4e8e\u7b2c\u4e00\u5468\u4e4b\u9645\uff0c\u9488\u5bf9Libratus\u600e\u6837\u53bb\u8c03\u6574\u6bd4\u8d5b\u7b56\u7565\u3001\u5176\u64c5\u957f\u4e4b\u5904\u7a76\u7adf\u5728\u54ea\u7b49\u60c5\u51b5\uff0c\u5c55\u5f00\u4e86\u4e00\u8fde\u4e32\u7684\u731c\u6d4b\u3002\u4ed6\u4eec\u5e76\u672a\u4ed4\u4ed4\u7ec6\u7ec6\u5730\u4e0e\u6211\u63a2\u8ba8\u4ed6\u4eec\u6240\u9884\u8ba1\u7684\u6218\u5c40\u8d70\u5411\u5230\u5e95\u4f1a\u662f\u600e\u6837\u7684\u5177\u4f53\u60c5\u5f62\uff0c\u7136\u800c\u5c31\u6211\u6240\u542c\u95fb\u7684\u90e8\u5206\u60c5\u5f62\u800c\u8a00\uff0c\u4ed6\u4eec\u8c8c\u4f3c\u662f\u671f\u76fc\u501f\u52a9\u6570\u636e\u53bb\u627e\u51faLibratus\u7684\u7279\u5b9a\u6253\u6cd5\u6a21\u5f0f\uff0c\u5256\u6790\u5b83\u7684\u4e0d\u8db3\u4e4b\u5904\u4ee5\u53ca\u4f18\u52bf\u6240\u5728\u3002\u56e0\u800c\uff0c\u603b\u4f53\u6765\u8bb2\u6211\u5e76\u4e0d\u600e\u4e48\u5fe7\u5fc3\u5fe1\u5fe1\u3001\u987e\u8651\u7e41\u591a\u3002\u4ed6\u4eec\u89c9\u5f97AI\u5b58\u5728\u82e5\u5e72\u67d0\u65b9\u9762\u7684\u7455\u75b5\uff0c\u53ef\u5b9e\u9645\u4e0a\u5e76\u975e\u5982\u6b64\u8fd9\u822c\u3002\u4f8b\u5982\uff0c\u5728\u67d0\u4e00\u5929\u4e3e\u884c\u7684\u6bd4\u8d5b\u91cc\uff0c\u53c2\u8d5b\u7684\u4ed6\u4eec\u5f53\u4e2d\u670980%\u90fd\u9009\u62e9\u4e86\u518d\u52a0\u6ce8\uff0c\u4e5f\u5c31\u662f\u8fdb\u884c\u4e09\u6b21\u52a0\u6ce8\uff0c\u8fd9\u662fthree-betting\u6240\u8868\u8fbe\u7684\u610f\u601d\uff0c\u7a76\u5176\u539f\u56e0\uff0c\u4ece\u76f8\u5173\u7684\u6570\u636e\u65b9\u9762\u53bb\u770b\uff0c\u4ed6\u4eec\u5224\u65adAI\u5728\u5e94\u5bf9\u7279\u5b9a\u7684\u52a0\u500d\u6253\u6cd5\u4e5f\u5c31\u662f\u4e09\u500d\u6253\u6cd5\u65f6\uff0c\u4e0d\u592a\u5177\u6709\u4f18\u52bf\uff0c\u8fd9\u79cd\u4e09\u500d\u6253\u6cd5\u5bf9\u5e94\u7684\u5c3a\u5bf8\u662f\u7279\u5b9a\u7684\uff0c\u53eb\u505athree-bet size\u3002\u7136\u800c\uff0c\u6211\u5374\u5e76\u4e0d\u89c9\u5f97\u8fd9\u5c5e\u4e8e\u4e00\u79cd\u660e\u663e\u7684\u7f3a\u9677\u4e0d\u8db3\u4e4b\u5904\uff0c\u4e0d\u8fc7\u662f\u4ed6\u4eec\u6240\u83b7\u53d6\u7684\u6570\u636e\u5f53\u4e2d\u5b58\u5728\u7740\u4e00\u4e9b\u5e72\u6270\u4fe1\u606f\u800c\u5df2\u3002\u4ed6\u4eec\u5728\u6bd4\u8d5b\u63a8\u8fdb\u7684\u8fc7\u7a0b\u91cc\u6240\u5f97\u5230\u7684\u6570\u636e\uff0c\u81f4\u4f7f\u4ed6\u4eec\u6700\u7ec8\u5f97\u51fa\u4e86\u8fd9\u6837\u7684\u4e00\u79cd\u7ed3\u8bba\u3002\u4f46\u5b9e\u5b9e\u5728\u5728\u5730\uff0c\u4ed6\u4eec\u4e5f\u5bdf\u89c9\u5230\u4e86\u5176\u4e2d\u6240\u5b58\u5728\u7684\u4e00\u4e9b\u95ee\u9898\u3002\u5c31\u50cfLibratus\u5728\u5e94\u5bf9\u7279\u5b9a\u7684\u5f00\u5c40\u4e0b\u6ce8\u65f6\uff0c\u5bf9\u4e8e\u6240\u9700\u8981\u7684\u5927\u5c0f\u5c3a\u5bf8\uff0c\u5bf9\u5e94\u5f97\u5e76\u4e0d\u7406\u60f3\u3002\u6211\u4eec\u5728\u6bd4\u8d5b\u4e4b\u524d\u89c9\u5f97\u8fd9\u5e76\u975e\u662f\u4e2a\u9700\u8981\u7279\u522b\u91cd\u89c6\u7684\u95ee\u9898\uff0c\u7136\u800c\u5b9e\u9645\u60c5\u51b5\u8868\u660e\uff0c\u6b64\u4e00\u5f31\u70b9\u5177\u6709\u6781\u5176\u4e25\u91cd\u7684\u540e\u679c\u3002\u8fd8\u597dAI\u5b58\u6709\u5e94\u5bf9\u7b56\u7565\uff0c\u8d81\u7740\u5f53\u5929\u591c\u91cc\u5bf9\u624b\u8fdb\u5165\u7761\u7720\u72b6\u6001\u4e4b\u9645\uff0cAI\u5373\u6301\u7eed\u6027\u5730\u5c55\u5f00\u8bad\u7ec3\uff0c\u901a\u8fc7\u5f25\u8865\u81ea\u8eab\u5b58\u5728\u7684\u4e0d\u8db3\u6765\u907f\u514d\u5bf9\u624b\u65e5\u540e\u518d\u5ea6\u5229\u7528\u8fd9\u4e00\u7f3a\u9677\uff0c\u6240\u4ee5\u4f60\u77a7\u89c1\u4e86\uff0c\u81ea\u7b2c\u4e8c\u5468\u8d77\u5c40\u52bf\u4fbf\u5f00\u59cb\u53d1\u751f\u53d8\u5316\u4e86\u3002<\/p>\n<p>Card Player<\/p>\n<p>\u8fd9\u6b21\u8fdb\u884c\u7684\u5fae\u8c03\u6574\uff0c\u5bf9\u4e8e\u5728\u90a3\u4e4b\u540e\u7684\u6bd4\u8d5b\u800c\u8a00\uff0c\u662f\u4e0d\u662f\u5177\u6709\u91cd\u8981\u6027\u5462\uff1f\u9274\u4e8e\u4eba\u7c7b\u9009\u624b\u4e5f\u4f1a\u76f8\u4e92\u534f\u540c\u8d77\u6765\u5c55\u5f00\u4f5c\u6218\uff0c\u8fdb\u800c\u53bb\u8ba8\u8bba\u6218\u7565\u6027\u7684\u95ee\u9898\uff0c\u90a3\u4e48\uff0c\u8fd9\u6b21\u6240\u505a\u51fa\u7684\u8c03\u6574\uff0c\u662f\u4e0d\u662f\u52a0\u5927\u4e86\u5bf9\u6218\u5f53\u65f6\u7684\u96be\u5ea6\u5462\uff1f<\/p>\n<p>Brown<\/p>\n<p>\u4e0d\u662f\u8bf4\u8fd9\u91cc\u9762\u5b58\u5728\u7740\u633a\u591a\u8bef\u89e3\uff0cAI\u5fae\u8c03\u5e76\u975e\u662f\u8ba9\u6211\u4eec\u4f7f\u5b83\u518d\u52a0\u6ce8\u7684\u6b21\u6570\u589e\u591a\uff0c\u4e5f\u4e0d\u662f\u63d0\u9ad8\u52a0\u6ce8\u500d\u6570\uff0c\u800c\u662f\u9274\u4e8e\u5bf9\u624b\u5728\u7ffb\u724c\u524d\u4ee5\u53ca\u7ffb\u724c\u65f6\u8001\u662f\u4e0b\u4e0d\u540c\u5927\u5c0f\u7684\u6ce8\u3002AI\u7a0b\u5e8f\u6e05\u695a\u600e\u6837\u56de\u5e942\u500d\u30012.5\u500d\u6216\u80053\u500d\u7684\u5f00\u5c40\u4e0b\u6ce8\u3002\u7136\u800c\u8981\u662f\u5bf9\u65b9\u4ee52.75\u500d\u5f00\u5c40\uff0c\u90a3\u4e48AI\u5c31\u4f1a\u5c062.75\u7ea6\u7b49\u4e8e3\uff0c\u6545\u800c\u5b83\u7684\u56de\u5e94\u8fd8\u662f\u76f8\u5bf9\u51c6\u786e\u7684\u3002\u5982\u6b64\u8fd9\u822c\u7684\u505a\u6cd5\u867d\u8bf4\u4e0d\u80fd\u7b97\u4e0d\u5408\u7406\uff0c\u53ef\u8981\u662f\u5b83\u80fd\u591f\u4e0d\u8fdb\u884c\u56db\u820d\u4e94\u5165\u7684\u8bdd\uff0c\u6548\u679c\u5e94\u5f53\u4f1a\u66f4\u597d\u3002\u5f53\u665a\uff0c\u5b83\u6574\u591c\u8bad\u7ec3\u81ea\u5df1\uff0c\u8bad\u7ec3\u5185\u5bb9\u662f\u5982\u4f55\u56de\u5e942.75\u500d\u7684\u4e0b\u6ce8 \u3002\u5b83\u4e0b\u6ce8\u7684\u5927\u5c0f\u7531\u7b97\u6cd5\u51b3\u5b9a\uff0c\u7b97\u6cd5\u80fd\u6839\u636e\u5bf9\u624b\u4e0b\u6ce8\u6b21\u6570\u6700\u591a\u500d\u6570\uff0c\u4ee5\u53ca\u8fd9\u4e2a\u6570\u5b57\u4e0e\u6211\u4eec\u4e8b\u5148\u8bbe\u5b9a\u7684\u4e00\u4e9b\u6570\u76ee\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u4e3a\u5bf9\u624b\u4e0b\u7684\u6ce8\u5206\u51fa\u4f18\u5148\u7b49\u7ea7 \u3002\u6240\u4ee5\uff0c\u8fd9\u5c31\u662f\u5fae\u8c03\u6240\u505a\u7684\u6539\u53d8 \u3002\u8fd9\u4e5f\u662f\u7b97\u6cd5\u4e2d\u7684\u5173\u952e\u90e8\u5206\uff0c\u5b83\u80fd\u8ba9AI\u4e00\u6b65\u6b65\u4f9d\u636e\u4eba\u7c7b\u6253\u6cd5\u6539\u53d8\u81ea\u8eab\u8def\u5b50\uff0c\u800c\u975e\u5982\u4ed6\u4eec\u4e4b\u524d\u731c\u6d4b\u5730\u53bb\u5229\u7528\u4eba\u7c7b\u5f31\u70b9 \u3002<\/p>\n<p>Card Player<\/p>\n<p>\u96be\u9053\u6211\u4eec\u53ef\u4ee5\u8fd9\u4e48\u8bb2\uff0c\u5728\u8f6c\u724c\u5708\u4e5f\u5c31\u662fthe turn\u7684\u65f6\u5019\uff0c\u4ee5\u53ca\u6cb3\u724c\u5708\u4e5f\u5c31\u662fthe river\u7684\u65f6\u5019\uff0cLibratus\u6240\u505a\u51fa\u7684\u56de\u5e94\uff0c\u5e76\u4e0d\u50cf\u5728\u7ffb\u724c\u524d\u4ee5\u53ca\u7ffb\u724c\u65f6\u6240\u505a\u51fa\u7684\u56de\u5e94\u90a3\u822c\u5177\u6709\u91cd\u8981\u6027\u5417\uff1f<\/p>\n<p>Brown<\/p>\n<p>\u5f53\u5904\u4e8e\u8f6c\u724c\u5708\u4e4b\u9645\uff0c\u5f53\u5904\u4e8e\u6cb3\u724c\u5708\u4e4b\u65f6\uff0c\u6b64\u65f6\u4f60\u4f1a\u53d1\u89c9\uff0cAI \u8981\u8017\u8d39\u65f6\u95f4\u53bb\u601d\u7d22\u540e\u7eed\u7684\u52a8\u4f5c\u3002\u8fd9\u6bb5\u65f6\u95f4\u6781\u4e3a\u8fc5\u901f\u81f4\u4f7f\u5f97\u6709\u7684\u4eba\u6216\u8bb8\u5e76\u672a\u7559\u610f\u5230\u3002\u5b9e\u9645\u4e0a\uff0c\u6bcf\u5f53\u4eba\u7c7b\u5bf9\u624b\u4e8e\u8f6c\u724c\u5708\u8fdb\u884c\u4e0b\u6ce8\u65f6\uff0c\u6bcf\u5f53\u4eba\u7c7b\u5bf9\u624b\u4e8e\u6cb3\u724c\u5708\u8fdb\u884c\u4e0b\u6ce8\u65f6\uff0c\u5b83\u90fd\u9700\u518d\u5ea6\u8ba1\u7b97\u7b56\u7565\u3002\u5982\u6b64\u4e00\u6765\uff0c\u4e0d\u7ba1\u5bf9\u624b\u600e\u6837\u65bd\u5c55\u62db\u6570\u5b83\u90fd\u80fd\u591f\u4e88\u4ee5\u5b8c\u7f8e\u56de\u5e94\u3002\u6545\u800c AI \u4e00\u5b9a\u8981\u9884\u5148\u53bb\u8ba1\u7b97\u4e00\u7cfb\u5217\u4e0d\u540c\u7684\u4e0b\u6ce8\u5927\u5c0f\uff0c\u5e76\u4e14\u5c06\u5176\u653e\u7f6e\u5230\u6e38\u620f\u6811\uff08game tree\uff09\u91cc\uff0c\u7136\u800c\u9884\u5148\u8ba1\u7b97\u7684\u65e0\u6cd5\u5e94\u5bf9\u8f6c\u724c\u5708\uff0c\u65e0\u6cd5\u5e94\u5bf9\u6cb3\u724c\u5708\uff0c\u56e0\u4e3a\u8fd9\u4e24\u4e2a\u662f\u9700\u8981\u5b9e\u65f6\u8ba1\u7b97\u7684\u7b56\u7565\u3002\uff08\u8bd1\u8005\u6807\u6ce8\uff1a\u6e38\u620f\u6811\uff0c\u5c31\u662f\u5728\u7ec4\u5408\u535a\u5f08\u7406\u8bba\u91cc\uff0c\u7528\u4e8e\u4f53\u73b0\u4e00\u4e2a\u8d5b\u5c40\u4e4b\u4e2d\uff0c\u5404\u79cd\u540e\u7eed\u5177\u5907\u53ef\u80fd\u6027\u7684\u6811\uff09  .<\/p>\n<p>Card Player<\/p>\n<p>\u8fd9\u4e2a\u5b9e\u65f6\u8ba1\u7b97\u7684\u80fd\u529b\uff0c\u662f\u4e0d\u662fClaudico\u6240\u6b20\u7f3a\u7684\u5462\uff1f\u53c8\u6216\u8bb8\u662f\u505a\u5f97\u4e0d\u90a3\u4e48\u5c3d\u5584\u5c3d\u7f8e\u7684\u5730\u65b9\u5462\uff1f<\/p>\n<p>Brown<\/p>\n<p>Claudico\u80fd\u4e8e\u6cb3\u724c\u5708\u5f00\u5c55\u5b9e\u65f6\u8ba1\u7b97\uff0c\u53ea\u662f\u5728\u5982\u4e0b\u51e0\u4e2a\u65b9\u9762\u8f83\u4e3a\u8584\u5f31\u3002\u5176\u4e00\uff0c\u5b83\u672a\u8003\u91cf\u963b\u65ad\u724c\uff0c\u4e5f\u5c31\u662f\u81ea\u5df1\u6240\u9700\u7684\u724c\u5728\u4ed6\u4eba\u624b\u4e2d\u3002\u5176\u4e8c\uff0c\u4e3a\u4e86\u8fd0\u884c\u5f97\u66f4\u5feb\uff0c\u5b83\u8981\u5c06\u51e0\u624b\u724c\u7ec4\u5408\u8d77\u6765\uff0c\u6b64\u540e\u518d\u52a0\u4ee5\u533a\u522b\u5bf9\u5f85\u3002\u5176\u4e09\uff0c\u57fa\u4e8e\u6b64\u5b83\u6216\u8bb8\u4f1a\u89c9\u5f97\uff0c\u9ed1\u6843A\u5e26\u4e09\u5f20\u9ed1\u6843\u8ddf\u6885\u82b1A\u5e26\u4e09\u5f20\u9ed1\u6843\u662f\u76f8\u540c\u7684\uff0c\u5373\u4f7f\u8fd9\u4e24\u79cd\u724c\u7406\u5e94\u533a\u522b\u5bf9\u5f85\u3002<\/p>\n<p>Claudico\u7684\u6700\u7ec8\u6e38\u620f\u89e3\u7b97\u673a\uff0c\u4e5f\u5c31\u662fend-game solver\uff0c\u4f1a\u9488\u5bf9\u5927\u91cf\u7684\u5b9e\u65f6\u4e0b\u6ce8\u5f00\u5c55\u8ba1\u7b97\uff0c\u7136\u800c\u4e0d\u4f1a\u5728\u4eba\u7c7b\u6bcf\u6b21\u4e0b\u6ce8\u4e4b\u9645\u8fdb\u884c\u518d\u8ba1\u7b97\u3002\u6211\u89c9\u5f97\uff0c\u9488\u5bf9\u4eba\u7c7b\u6bcf\u6b21\u4e0b\u6ce8\u8fdb\u884c\u518d\u8ba1\u7b97\u8fd9\u4e00\u884c\u4e3a\uff0c\u5bf9\u4e8eLibratus\u6b64\u6b21\u7684\u83b7\u80dc\u8d77\u7740\u5173\u952e\u4f5c\u7528\u3002\u540c\u6837\u5730\uff0c\u8fd9\u6b21\u6211\u4eec\u80fd\u591f\u5728\u8f6c\u724c\u5708\u8d77\u59cb\u4e4b\u65f6\u5c31\u5bf9\u8fd9\u79cd\u8ba1\u7b97\u4e88\u4ee5\u6269\u5c55\u3002\u8fd9\u79cd\u6240\u91c7\u7528\u7684\u505a\u6cd5\uff0c\u5176\u8ba1\u7b97\u91cf\u662f\u66f4\u4e3a\u4e4b\u5e9e\u5927\u7684\uff0c\u539f\u56e0\u5728\u4e8e\u5f53\u4e0b\u7684AI\uff0c\u662f\u9700\u8981\u53bb\u5904\u7406\u5927\u698250\u79cd\u5b58\u5728\u4e0d\u540c\u53ef\u80fd\u6027\u4f1a\u51fa\u73b0\u7684\u6cb3\u724c\u5708\uff0c\u800c\u4e14\u5728\u6e38\u620f\u7ed3\u675f\u7684\u8fd9\u4e2a\u9636\u6bb5\uff0c\u4e5f\u5c31\u662f\u6bcf\u4e00\u624b\u724c\u7684\u8fd9\u4e2a\u65f6\u6bb5\uff0c\u53ef\u80fd\u4f1a\u51fa\u73b0\u7684\u884c\u52a8\u6570\u91cf\uff0c\u4e5f\u662f\u5448\u73b0\u51fa\u6307\u6570\u7ea7\u7684\u6001\u52bf\u5728\u589e\u957f\u3002\u6240\u4ee5\u8bf4\u5462\uff0c\u8981\u662f\u60f3\u8981\u5982\u540c\u6709\u6548\u53bb\u6269\u5c55\u8fd9\u79cd\u5168\u65b0\u7684\u7b97\u6cd5\u4e00\u6837\uff0c\u65b0\u7a0b\u5e8f\u7684\u8ba1\u7b97\u6210\u672c\uff0c\u76f8\u8f83\u4e8eClaudico\uff0c\u90a3\u53ef\u662f\u8981\u8d35\u52301000\u500d\u4e4b\u591a\u7684\u3002<\/p>\n<p>Card Player<\/p>\n<p>Libratus\u7a76\u7adf\u8981\u5230\u4ec0\u4e48\u65f6\u5019\uff0c\u624d\u80fd\u591f\u6253\u51fa\u4e00\u4e2a\u6beb\u65e0\u7455\u75b5\u7684\u3001\u7b26\u5408\u6e38\u620f\u535a\u5f08\u7406\u8bba\u91cc\u6700\u4f18\u5316\u7b56\u7565\u6807\u51c6\u7684GTO\u5462\uff1f\u5bf9\u4e8e\u50cfLibratus\u8fd9\u6837\u7684\u673a\u5668\uff0c\u4f60\u4eec\u63a5\u4e0b\u6765\u8fd8\u4f1a\u63a8\u51fa\u591a\u5c11\u4e2a\u4e0d\u540c\u7248\u672c\u5462\uff1f<\/p>\n<p>Brown<\/p>\n<p>\u6ca1\u4eba\u6e05\u695a\uff0cAI\u8ddd\u79bb\u6253\u51fa\u535a\u5f08\u7406\u8bba\u91cc\u7684\u6700\u4f18\u5316\u7b56\u7565\uff0c\u5230\u5e95\u8fd8\u6709\u591a\u8fdc\u3002\u6211\u4eec\u5b58\u5728\u8bf8\u591a\u8ba1\u7b97\u8fd9\u4e00\u6570\u503c\u7684\u65b9\u6cd5\uff0c\u7136\u800c\u4ee3\u4ef7\u6781\u4e3a\u9ad8\u6602\uff0c\u6240\u4ee5\u76f4\u81f3\u5982\u4eca\u90fd\u5c1a\u672a\u8fbe\u6210\u3002\u6216\u8bb8\u6211\u4eec\u660e\u5e74\u4f1a\u7740\u624b\u8fdb\u884c\u5c1d\u8bd5\u3002\u8981\u662f\u975e\u5f97\u8ba9\u6211\u4f5c\u51fa\u63a8\u6d4b\uff0c\u6211\u731c\u60f3\u535a\u5f08\u7406\u8bba\u4e2d\u7684\u4e00\u4e2a\u6700\u4f18\u5316\u7b56\u7565\uff0c\u80fd\u591f\u4ee515bb\/100\u6218\u80dcLibratus\u3002\u8fd9\u662f\u6211\u7684\u5927\u81f4\u4f30\u91cf\uff0c\u8303\u56f4\u5e94\u5f53\u5904\u4e8e5\u81f350bb\/100\u4e4b\u95f4\u3002<\/p>\n<p>Card Player<\/p>\n<p>\uff1a\u54c7\uff0c\u6240\u4ee5\u8fd9\u7c7bAI\u8fd8\u662f\u6709\u5f88\u5927\u63d0\u5347\u7a7a\u95f4\u55bd\uff1f<\/p>\n<p>Brown<\/p>\n<p>\u8fd9\u96be\u4ee5\u786e\u5207\u8868\u8ff0\u3002\u4ee5\u5f80AI\u5b58\u5728\u81f4\u547d\u7f3a\u9677\uff0c\u5373\u5728\u8f6c\u724c\u5708\u548c\u6cb3\u724c\u5708\u65f6\uff0c\u672a\u5c06\u963b\u9694\u724c\u7eb3\u5165\u8003\u91cf\u8303\u56f4\uff0c\u800c\u8fd9\u5904\u4e8e\u9ad8\u6c34\u5e73\u5bf9\u6218\u91cc\uff0c\u7740\u5b9e\u76f8\u5f53\u5173\u952e\u3002\u7136\u800c\uff0cLibratus\u4e0d\u5b58\u5728\u6b64\u7c7b\u95ee\u9898\u3002\u5b83\u4e8e\u6bcf\u4e2a\u8f6c\u724c\u5708\u4ee5\u53ca\u6cb3\u724c\u5708\u5f53\u4e2d\uff0c\u4f1a\u7279\u610f\u9488\u5bf9\u6bcf\u624b\u724c\u7684\u60c5\u5f62\u4e88\u4ee5\u8003\u8651\uff0c\u4e0e\u5148\u524d\u7684AI\u76f8\u6bd4\u8f83\uff0c\u6b64\u79cd\u505a\u6cd5\u4f7f\u5f97Libratus\u7684\u8868\u73b0\u53d6\u5f97\u4e86\u98de\u8dc3\u5f0f\u7684\u8fdb\u5c55\u3002<\/p>\n<p>\u5c31\u533a\u5206\u963b\u9694\u724c\u8fd9\u4e00\u60c5\u51b5\u800c\u8a00\uff0cLibratus\u6ca1\u592a\u5927\u63d0\u5347\u4f59\u5730\u4e86\u3002\u7136\u800c\u5728\u600e\u6837\u53bb\u6311\u9009\u4e0b\u6ce8\u6570\u989d\u8fd9\u4e2a\u65b9\u9762\uff0c\u8fd8\u662f\u80fd\u591f\u6709\u6240\u8fdb\u5c55\u7684\u3002\u6211\u4e0d\u592a\u5bb9\u6613\u8bb2\u6e05\u695a\u5b83\u80fd\u8fdb\u6b65\u5230\u4f55\u79cd\u7a0b\u5ea6\uff0c\u4e0d\u8fc7\u6211\u63a8\u6d4b\u6216\u8bb8\u4f1a\u8fbe\u523015 \u3002<\/p>\n<p>Card Player<\/p>\n<p>\u6709\u4e9b\u4eba\u89c9\u5f97Libratus\u4e8e\u8f6c\u724c\u5708\u4ee5\u53ca\u6cb3\u724c\u5708\u7684\u8d85\u989d\u4e0b\u6ce8\uff0c\u4e5f\u5c31\u662fover &#8211; betting\uff0c\u6781\u5177\u8fdb\u653b\u6027\u8d28\uff0c\u4f60\u4f1a\u4e0d\u4f1a\u89c9\u5f97AI\u5728\u8fd9\u4e9b\u65b9\u9762\u5df2\u7136\u62b5\u8fbe\u5b8c\u7f8e\u6c34\u51c6\uff0c\u6216\u8005\u8bb2\u5728\u600e\u6837\u5e73\u8861\u4e0b\u6ce8\u8fd9\u4e8b\u513f\u4e0a\u4f9d\u65e7\u5b58\u6709\u80fd\u591f\u6539\u8fdb\u7684\u7a7a\u95f4\u5462\uff1f<\/p>\n<p>Brown<\/p>\n<p>\u6bd4\u8d5b\u65f6\u5b83\u80fd\u8d85\u989d\u4e0b\u6ce8\uff0c\u5bf9\u6b64\u6211\u4eec\u5f88\u610f\u5916\uff0cLibratus\u4e0d\u662f\u4f9d\u636e\u4eba\u7c7b\u6570\u636e\u8bad\u7ec3\u800c\u6210\uff0c\u4e4b\u524d\u5b83\u4ece\u6ca1\u548c\u4eba\u7c7b\u73a9\u5bb6\u4ea4\u8fc7\u624b\uff0c\u6240\u4ee5\u6b64\u6b21\u5bf9\u6218\uff0c\u5b83\u91c7\u53d6\u81ea\u8eab\u8ba4\u4e3a\u6700\u4f18\u7684\u7b56\u7565\uff0c\u6b64\u7b56\u7565\u5341\u5206\u72ec\u7279\uff0c\u4e0e\u4eba\u7c7b\u6240\u8ba4\u4e3a\u7684\u6700\u4f18\u6253\u6cd5\u5dee\u5f02\u6781\u5927\uff0c\u8d85\u989d\u4e0b\u6ce8\u662f\u8be5\u7b56\u7565\u7684\u91cd\u8981\u90e8\u5206\uff0c\u53e6\u5916\u8fd8\u6709donk bets\uff0c\u80fd\u76ee\u7779AI\u505a\u5230\u4eba\u7c7b\u505a\u4e0d\u5230\u7684\u4e8b\uff0c\u8fd9\u7740\u5b9e\u4ee4\u4eba\u96be\u5fd8\uff0c\u6211\u9887\u4e3a\u6ee1\u8db3 \u3002Claudico\u8eab\u4e0a\u65e9\u5c31\u4f53\u73b0\u51fa\u4e86\u8fd9\u79cd\u8fdb\u653b\u6027\uff0c\u90a3\u65f6\u4eba\u4eec\u89c9\u7740\u5b83\u5728\u5e95\u6c60\u5c1a\u5c0f\u65f6\u5c31\u73a9\u5168\u62bc\u662f\u975e\u5e38\u4e0d\u660e\u667a\u7684\u3002\u6211\u5224\u5b9a\u5b83\u6b64\u4e43\u9519\u8bef\u6253\u6cd5\uff0c\u662f\u672a\u505a\u597d\u5e73\u8861\u7684\u5448\u73b0\u3002\u53ef\u662f\u6211\u89c9\u5f97\u4eceLibratus\u8eab\u4e0a\u6211\u4eec\u5df2\u7136\u89c1\u5230\u4e86\u76f8\u5bf9\u5408\u7406\u7684\u8fdb\u653b\u6027\uff0c\u800c\u8fd9\u4ea6\u662f\u5b83\u6210\u529f\u7684\u5173\u952e\u6240\u5728\u3002<\/p>\n<p>Card 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