{"id":6852,"date":"2026-01-13T15:06:34","date_gmt":"2026-01-13T07:06:34","guid":{"rendered":"https:\/\/yiqihuijia.com.cn\/index.php\/2026\/01\/13\/cmu%e5%86%b7%e6%89%91%e5%a4%a7%e5%b8%88%e5%9b%a2%e9%98%9f%e6%8e%a8%e5%87%ba%e6%96%b0%e5%be%b7%e6%89%91ai%ef%bc%8c%e7%ac%94%e8%ae%b0%e6%9c%ac%e7%ab%9f%e6%89%93%e8%b4%a5%e8%b6%85%e7%ae%97\/"},"modified":"2026-01-13T15:06:34","modified_gmt":"2026-01-13T07:06:34","slug":"cmu%e5%86%b7%e6%89%91%e5%a4%a7%e5%b8%88%e5%9b%a2%e9%98%9f%e6%8e%a8%e5%87%ba%e6%96%b0%e5%be%b7%e6%89%91ai%ef%bc%8c%e7%ac%94%e8%ae%b0%e6%9c%ac%e7%ab%9f%e6%89%93%e8%b4%a5%e8%b6%85%e7%ae%97","status":"publish","type":"post","link":"https:\/\/qqovblr.com\/index.php\/2026\/01\/13\/cmu%e5%86%b7%e6%89%91%e5%a4%a7%e5%b8%88%e5%9b%a2%e9%98%9f%e6%8e%a8%e5%87%ba%e6%96%b0%e5%be%b7%e6%89%91ai%ef%bc%8c%e7%ac%94%e8%ae%b0%e6%9c%ac%e7%ab%9f%e6%89%93%e8%b4%a5%e8%b6%85%e7%ae%97\/","title":{"rendered":"CMU\u51b7\u6251\u5927\u5e08\u56e2\u961f\u63a8\u51fa\u65b0\u5fb7\u6251AI\uff0c\u7b14\u8bb0\u672c\u7adf\u6253\u8d25\u8d85\u7b97"},"content":{"rendered":"<p>\u8fd1\u65e5\uff0c\u6709\u5728\u8bfb\u535a\u58eb Noam Brown\uff0c\u6765\u81ea <a href='\/index.php\/2026\/01\/13\/%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%b9%95%e5%90%8ecmu%e5%8d%9a%e5%a3%abbrown%ef%bc%9aai%e6%80%8e%e6%a0%b7%e6%89%93%e8%b4%a5%e9%a1%b6%e7%ba%a7%e7%89%8c%e6%89%8b\/' title='CMU' target='_blank'>CMU<\/a> \u51b7\u6251\u5927\u5e08\u56e2\u961f\uff0c\u8fd8\u6709 Tuomas Sandholm \u6559\u6388\uff0c\u4ee5\u53ca\u7814\u7a76\u52a9\u7406 Brandon Amos\uff0c\u4ed6\u4eec\u63d0\u4ea4\u4e86\u4e00\u4e2a\u65b0\u7814\u7a76\uff0c\u8fd9\u4e2a\u65b0\u7814\u7a76\u662f\u5173\u4e8e\u540d\u4e3a\u5fb7\u5dde<a href='\/index.php\/2026\/01\/13\/doug-polk-%e8%b0%88%e8%ae%ba%e6%89%91%e5%85%8b%e4%b8%ad%e7%bf%bb%e7%89%8c%e5%89%8d%e7%9a%84%e4%ba%94%e4%b8%aa%e5%b8%b8%e8%a7%81%e9%94%99%e8%af%af\/' title='\u6251\u514b' target='_blank'>\u6251\u514b<\/a>\u4eba\u5de5\u667a\u80fd Modicum \u7684\u7814\u7a76\u3002\u8be5\u4eba\u5de5\u667a\u80fd\u4ec5\u51ed\u501f\u4e00\u53f0\u7b14\u8bb0\u672c\u7535\u8111\u7684\u7b97\u529b\uff0c\u5c31\u6253\u8d25\u4e86\u4e1a\u5185\u9876\u5c16\u7684 Baby Tartanian8\uff0c\u5b83\u662f 2016 \u8ba1\u7b97\u673a\u6251\u514b\u51a0\u519b\uff0c\u8fd8\u6253\u8d25\u4e86 Slumbot\uff0c\u5b83\u662f 2018 \u5e74\u8ba1\u7b97\u673a\u6251\u514b\u51a0\u519b \u3002\u5728\u6b64\u4e4b\u524d\uff0c\u540d\u4e3a\u300aSafe and Nested Subgame Solving for Imperfect-Information Games\u300b\u7684\u51b7\u6251\u5927\u5e08\u8bba\u6587\uff0c\u662fNIPS 2017\u7684\u6700\u4f73\u8bba\u6587\uff0c\u4ecb\u7ecd\u4e86\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u5bf9\u667a\u80fd\u4f53\u548c\u9690\u85cf\u4fe1\u606f\u95f4\u6218\u7565\u4e92\u52a8\u7684\u5efa\u6a21\uff0c\u6b64\u7c7b\u535a\u5f08\u4e3b\u8981\u57fa\u51c6\u662f\u6251\u514b\uff0c\u7279\u522b\u662f\u4e00\u5bf9\u4e00\u65e0\u9650\u6ce8\u5fb7\u5dde\u6251\u514b\uff0c2017\u5e74\u4eba\u5de5\u667a\u80fdLibratus\u6253\u8d25\u5fb7\u5dde\u6251\u514b\u4eba\u7c7b\u9876\u7ea7\u73a9\u5bb6 \u3002\u53e5\u53f7\u3002\u5e26\u6765\u8fd9\u822c\u8d85\u4eba\u6027\u80fd\u7684\u5173\u952e\u7a81\u7834\u4e4b\u5904\u5728\u4e8e\u5d4c\u5957\u6c42\u89e3\uff0c\u4e5f\u5c31\u662f nested solving\uff0c\u968f\u7740\u4e8e\u535a\u5f08\u6811\u91cc\u7684\u4f4d\u7f6e\u6301\u7eed\u4e0b\u79fb\uff0c\u667a\u80fd\u4f53\u5b9e\u65f6\u91cd\u590d\u8fdb\u884c\u8ba1\u7b97\uff0c\u53bb\u66f4\u4e3a\u7cbe\u7ec6\u5730\u8c03\u51c6\u7b56\u7565\uff0c\u800c\u6b64\u7b56\u7565\u53ea\u662f\u5b8c\u6574\u535a\u5f08\u7684\u4e00\u90e8\u5206 \u3002<\/p>\n<p>\u4f46\uff0c\u5b9e\u65f6\u5b50\u535a\u5f08\u6c42\u89e3\u4e8e\u524d\u534a\u573a\u5bf9 Libratus \u6765\u8bb2\u6210\u672c\u8fc7\u9ad8\uff0c\u56e0 Libratus \u5b9e\u65f6\u6c42\u89e3\u7684\u8fd9\u4e00\u90e8\u5206\u535a\u5f08\u6811\uff0c\u4e5f\u5c31\u662f\u5b50\u535a\u5f08\uff0c\u901a\u5e38\u4f1a\u5ef6\u4f38\u81f3\u6e38\u620f\u7ed3\u675f \u3002\u6240\u4ee5\uff0c\u524d\u534a\u573a Libratus \u9884\u5148\u7b97\u51fa\u4e00\u4e2a\u7cbe\u5bc6\u7b56\u7565\u7528\u4f5c\u67e5\u627e\u8868\u3002\u5018\u82e5\u8be5\u7b56\u7565\u6210\u529f\uff0c\u90a3\u5b83\u5c31\u9700\u8981\u53ef\u7528\u4e8e\u8ba1\u7b97\u7684\u6570\u767e\u4e07\u6838\u5fc3\u65f6\u95f4\u4ee5\u53ca\u6570 TB \u5185\u5b58\u3002\u53e6\u5916\uff0c\u5728\u66f4\u6df1\u7684\u5e8f\u8d2f\u535a\u5f08\u91cc\uff0c\u8be5\u65b9\u6cd5\u7684\u8ba1\u7b97\u5f00\u9500\u66f4\u4e3a\u6602\u8d35\uff0c\u56e0\u4e3a\u8981\u6c42\u89e3\u66f4\u957f\u7684\u5b50\u535a\u5f08\u4ee5\u53ca\u66f4\u5927\u578b\u7684\u9884\u8ba1\u7b97\u7b56\u7565\u3002\u4e00\u79cd\u66f4\u4e3a\u901a\u7528\u7684\u529e\u6cd5\u662f\uff0c\u5904\u5728\u535a\u5f08\u7684\u524d\u671f\u65f6\u6bb5\uff0c\u9488\u5bf9\u6df1\u5ea6\u53d7\u9650\u7684\u5b50\u535a\u5f08\u5c55\u5f00\u6c42\u89e3 \u3002<\/p>\n<p><a href='\/index.php\/2026\/01\/08\/%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e4%bc%9a%e6%8e%a5%e7%ae%a1%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e5%90%97%ef%bc%9f%e6%ac%a7%e7%be%8e%e7%a7%91%e5%ad%a6%e5%ae%b6%e5%85%ac%e5%b8%83%e6%96%b0%e7%ae%97\/' title='DeepStack' target='_blank'>DeepStack<\/a>\u8fd9\u79cd\u64cd\u4f5c\u662f\u901a\u8fc7\u4f7f\u7528\u4e00\u9879\u7c7b\u4f3c\u4e8e\u5d4c\u5957\u6c42\u89e3\u7684\u6280\u672f\u5f97\u4ee5\u5b9e\u73b0\u7684\uff0c\u8fd9\u662f\u6251\u514b<a href='\/index.php\/2026\/01\/13\/%e6%9c%80%e5%bc%ba%e5%a4%a7%e7%9a%84%e6%89%91%e5%85%8b%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e5%8a%a0%e5%85%a5%e7%be%8e%e5%9b%bd%e5%9b%bd%e9%98%b2%e9%83%a8%ef%bc%8c%e7%ad%be%e8%ae%a2%e4%ba%86%e4%b8%ba\/' title='AI' target='_blank'>AI<\/a>\u7684\u4e00\u79cd \u3002\u7136\u800c\uff0cDeepStack\u867d\u8bf4\u6218\u80dc\u4e86\u4e00\u7ec4HUNL\u975e\u9876\u5c16\u4eba\u7c7b\u4e13\u4e1a\u9009\u624b\uff0c\u53ef\u5b83\u5374\u5e76\u672a\u80dc\u8fc7\u4e4b\u524d\u9876\u5c16\u7684AI \u3002\u5c3d\u7ba1DeepStack\u5728\u8bad\u7ec3\u667a\u80fd\u4f53\u65f6\u4f7f\u7528\u4e86\u8d85\u8fc7\u4e00\u767e\u4e07\u6838\u5fc3\u65f6\u95f4\uff0c\u53ef\u8fd9\u8868\u660e\u5b83\u6240\u91c7\u7528\u7684\u65b9\u6cd5\u5728\u6251\u514b\u8fd9\u7c7b\u9886\u57df\u6216\u8bb8\u4e0d\u591f\u5b9e\u9645\u6216\u8005\u6709\u6548 \u3002\u672c\u8bba\u6587\u5728\u7b2c7\u90e8\u5206\u5bf9\u8be5\u95ee\u9898\u5c55\u5f00\u4e86\u8be6\u7ec6\u63a2\u8ba8 \u3002\u672c\u8bba\u6587\u8bb2\u8ff0\u4e86\u4e00\u79cd\u522b\u6837\u7684\u6df1\u5ea6\u6709\u9650\u6c42\u89e3\u529e\u6cd5\uff0c\u6b64\u529e\u6cd5\u51fb\u8d25\u4e86\u5148\u524d\u9876\u5c16\u7684\u4eba\u5de5\u667a\u80fd\uff0c\u5e76\u4e14\u8ba1\u7b97\u5f00\u9500\u8fbe\u6210\u4e86\u6570\u91cf\u7ea7\u7684\u964d\u4f4e\u3002<\/p>\n<p>\u5728\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u91cc\u5934\uff0c\u6df1\u5ea6\u6709\u9650\u5b50\u535a\u5f08\u7684\u53f6\u8282\u70b9\u5904\u7684\u503c\uff0c\u88ab\u66ff\u6362\u505a\u4e86\u6240\u6709\u9009\u624b\u5728\u5747\u8861\u72b6\u6001\u65f6\u7684\u72b6\u6001\u4f30\u8ba1\u503c\uff0c\u4e3e\u4f8b\u6765\u8bf4\uff0c\u8be5\u65b9\u6cd5\u5728\u897f\u6d0b\u53cc\u9646\u68cb\u3001\u56fd\u9645\u8c61\u68cb\u4ee5\u53ca\u56f4\u68cb\u4e0a\uff0c\u8fbe\u5230\u4e86\u8d85\u8d8a\u4eba\u7c7b\u7684\u6c34\u5e73\u5fb7\u4fe1\u7ade\u6280\uff0c\u540c\u6837\u7684\u65b9\u6cd5\u8fd8\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5355\u667a\u80fd\u4f53\u8bbe\u7f6e\u5f53\u4e2d\uff0c\u50cf\u542f\u53d1\u5f0f\u641c\u7d22\u3002<\/p>\n<p>29, 24, 30, 15<\/p>\n<p>\u786e\u5b9e\uff0c\u4e8e\u5355\u667a\u80fd\u4f53\u4ee5\u53ca\u5b8c\u7f8e\u4fe1\u606f\u591a\u667a\u80fd\u4f53\u7684\u8bbe\u5b9a\u60c5\u5f62\u4e0b\uff0c\u77e5\u6653\u6240\u6709\u9009\u624b\u5904\u4e8e\u5747\u8861\u72b6\u6001\u4e4b\u9645\u7684\u72b6\u6001\u503c\u8fd9\u6837\u7684\u60c5\u51b5\uff0c\u662f\u8db3\u4ee5\u53bb\u91cd\u5efa\u5747\u8861\u7684\u3002\u7136\u800c\uff0c\u6b64\u65b9\u6cd5\u5728\u5b58\u5728\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u7684\u535a\u5f08\u8fd9\u4e2a\u573a\u666f\u91cc\u5e76\u4e0d\u53d1\u6325\u6548\u529b\u3002<\/p>\n<p>\u535a\u5f08\u4e2d\u9762\u4e34\u7684\u6311\u6218\uff0c\u662f\u6df1\u5ea6\u6709\u9650\u6c42\u89e3\u4e8e\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u73af\u8282\u6240\u906d\u9047\u7684\uff0c\u5728\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u91cc\uff0c\u4e5f\u5c31\u662f\u90e8\u5206\u53ef\u89c2\u6d4b\u7684\u6e38\u620f\u8303\u7574\u5185\uff0c\u5b50\u535a\u5f08\u91cc\u8fb9\u7684\u6700\u4f18\u7b56\u7565\uff0c\u4e0d\u80fd\u7ecf\u7531\u77e5\u6653\u6240\u6709\u9009\u624b\u5904\u4e8e\u5747\u8861\u72b6\u6001\u4e4b\u9645\u7684\u72b6\u6001\u503c\uff0c\u5c31\u662f\u535a\u5f08\u6811\u7684\u8282\u70b9\uff0c\u6765\u52a0\u4ee5\u786e\u5b9a\u3002\u56fe1a\u662f\u4e00\u5e45\u7b80\u5355\u7684\u56fe\u793a\uff0c\u5b83\u5448\u73b0\u7684\u662f\u4e00\u79cd\u5e8f\u8d2f\u535a\u5f08\u6e38\u620f\uff0c\u540d\u4e3a\u300c\u526a\u5200\u77f3\u5934\u5e03+\u300d\u4e5f\u5c31\u662fRock-Paper-Scissors+\uff0c\u7b80\u79f0\u4e3aRPS+\u3002RPS+\u8ddf\u4f20\u7edf\u7684RPS\u60c5\u51b5\u4e00\u6837\uff0c\u53ea\u662f\u73a9\u5bb6\u51fa\u526a\u5200\u7684\u65f6\u5019\uff0c\u8d0f\u8005\u5f97\u5230\u7684\u5206\u6570\u662f2\u5206\uff0c\u5e76\u975e\u4ee5\u524d\u76841\u5206\uff0c\u5e76\u4e14\u82e5\u8f93\u4e86\u4e5f\u662f\u8f932\u5206\u3002\u56fe1a\u628aRPS+\u6e38\u620f\u4ee5\u5e8f\u8d2f\u535a\u5f08\u7684\u5f62\u5f0f\u6765\u5c55\u793a\uff0cP_1\u662f\u9996\u5148\u8fdb\u884c\u52a8\u4f5c\u7684\uff0c\u7136\u800c\u5176\u52a8\u4f5c\u5e76\u6ca1\u6709\u5411P_2\u6cc4\u9732\u3002\u5728\u8fd9\u4e2a\u6e38\u620f\u91cc\uff0c\u5bf9\u4e8e\u4e24\u4e2a\u73a9\u5bb6\u800c\u8a00\uff0c\u6700\u4f18\u7b56\u7565\u4e5f\u5c31\u662fMinmax\u7b56\u7565\uff0c\u4e5f\u5c31\u662f\u53cc\u4eba\u96f6\u548c\u535a\u5f08\u91cc\u7684\u7eb3\u4ec0\u5747\u8861\uff0c\u662f\u6bcf\u4e00\u65b9\u752840%\u7684\u6982\u7387\u53bb\u9009\u62e9\u77f3\u5934\u6216\u8005\u5e03\uff0c\u752820%\u7684\u6982\u7387\u9009\u62e9\u526a\u5200\u3002\u5728\u8be5\u5747\u8861\u72b6\u6001\u4e0b\uff0cP_1\u9009\u62e9\u77f3\u5934\u7684\u671f\u671b\u503c\u662f0\uff0c\u9009\u62e9\u526a\u5200\u6216\u8005\u5e03\u7684\u503c\u540c\u6837\u662f0\u3002\u8fd9\u5c31\u662f\u8bf4\uff0c\u56fe1a\u91cc\u6240\u6709\u7684\u7ea2\u8272\u72b6\u6001\u5728\u8be5\u5747\u8861\u91cc\u7684\u503c\u90fd\u662f0\u3002\u5f53\u4e0b\uff0c\u5047\u5b9a P_1 \u65bd\u884c\u6df1\u5ea6\u4e3a 1 \u7684\u6df1\u5ea6\u6709\u9650\u641c\u7d22\uff0c\u6df1\u5ea6\u6781\u9650\u5904\u7684\u5747\u8861\u503c\u88ab\u66ff\u6362\uff0c\u6b64\u6df1\u5ea6\u6709\u9650\u5b50\u535a\u5f08\u5982\u56fe 1b \u6240\u793a\uff0c\u663e\u7136\uff0c\u5728\u8fd9\u4e2a\u5b50\u535a\u5f08\u91cc\u4e0d\u5b58\u5728\u5145\u8db3\u4fe1\u606f\u8fbe\u6210 40% \u77f3\u5934\u300140% \u5e03\u300120% \u526a\u5200\u7684\u6700\u4f18\u7b56\u7565\u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/01\/1768287993622_0.webp' alt='\u5fb7\u5dde\u724c\u6251\u514b\u5b98\u7f51\u4e0b\u8f7dapp_\u5fb7\u5dde\u6251\u514b\u5927\u5e08_\u5fb7\u5dde\u6251\u514b\u724c\u624b\u673a\u4e0b\u8f7d' \/><\/p>\n<p>\u5728RPS+\u4f8b\u5b50\u5f53\u4e2d\uff0c\u6838\u5fc3\u7684\u95ee\u9898\u662f\uff0c\u6211\u4eec\u9519\u8bef\u5730\u5047\u8bbe\u4e86P_2\u4f1a\u4e00\u76f4\u53bb\u6267\u884c\u56fa\u5b9a\u7684\u7b56\u7565\u3002\u8981\u662f\u5728\u5b9e\u9645\u72b6\u51b5\u4e0b\uff0c\u5982\u679cP_2\u51fa\u77f3\u5934\u3001\u5e03\u4ee5\u53ca\u526a\u5200\u7684\u6982\u7387\u662f\u8fd9\u6837\u7684\u60c5\u51b5\uff0c\u90a3\u4e48P_1\u5c06\u4f1a\u9009\u51fa\u4efb\u610f\u7684\u4e00\u79cd\u7b56\u7565\uff0c\u5176\u7ed3\u679c\u662f\u671f\u671b\u503c\u4e3a0\u3002\u53ef\u662f\u5462\uff0c\u5982\u679c\u5047\u5b9aP_2\u603b\u662f\u6267\u884c\u56fa\u6709\u7684\u7b56\u7565\uff0c\u90a3\u4e48P_1\u6709\u53ef\u80fd\u6ca1\u529e\u6cd5\u627e\u5230\u5bf9\u4e8eP_2\u53d8\u5316\u6709\u7740\u9c81\u68d2\u6027\u7684\u7b56\u7565\u3002\u5b9e\u9645\u4e0a\uff0cP_2\u7684\u6700\u4f18\u7b56\u7565\u662f\u4f9d\u9760\u7740P_1\u9009\u62e9\u77f3\u5934\u3001\u5e03\u548c\u526a\u5200\u7684\u6982\u7387\u7684\u3002\u901a\u5e38\u6765\u8bb2\uff0c\u5904\u4e8e\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u91cc\uff0c\u73a9\u5bb6\u4e8e\u67d0\u51b3\u7b56\u70b9\u7684\u6700\u4f18\u7b56\u7565\u9760\u7684\u662f\u73a9\u5bb6\u5728\u72b6\u6001\u65b9\u9762\u7684\u4fe1\u5ea6\u5206\u5e03\uff0c\u8fd8\u6709\u5176\u4ed6\u667a\u80fd\u4f53\u5728\u8be5\u51b3\u7b56\u70b9\u7684\u7b56\u7565\u3002<\/p>\n<p>\u5728\u672c\u6587\u91cc\u5934\uff0c\u7814\u7a76\u8005\u5f15\u8fdb\u4e86\u4e00\u79cd\u6df1\u5ea6\u6709\u9650\u6c42\u89e3\u529e\u6cd5\uff0c\u8fdb\u800c\u4fdd\u8bc1\u73a9\u5bb6\u7b56\u7565\u9488\u5bf9\u5bf9\u624b\u7684\u53d8\u5316\u62e5\u6709\u9c81\u68d2\u6027\u3002\u7814\u7a76\u8005\u51c6\u8bb8\u5bf9\u624b\u4e8e\u6df1\u5ea6\u6709\u9650\uff08depth limit\uff09\u7684\u5730\u65b9\u5f00\u5c55\u6700\u540e\u4e00\u56de\u52a8\u4f5c\u6311\u9009\uff08\u8fd9\u91cc\u9762\u6bcf\u4e2a\u52a8\u4f5c\u5bf9\u5e94\u7740\u5bf9\u624b\u4f1a\u4e8e\u535a\u5f08\u5269\u4f59\u90e8\u5206\u65bd\u884c\u7684\u7b56\u7565\uff09\uff0c\u5e76\u975e\u5728\u6df1\u5ea6\u6781\u9650\u7684\u5730\u65b9\u5355\u7eaf\u5730\u66ff\u6362\u5355\u4e2a\u72b6\u6001\u503c\u3002\u7b56\u7565\u7684\u6311\u9009\u786e\u5b9a\u4e86\u72b6\u6001\u503c\u3002\u5bf9\u624b\u5e76\u975e\u4f9d\u7167\u7279\u5b9a\u4e8e\u72b6\u6001\u7684\u65b9\u5f0f\u6765\u6311\u9009\uff08\u4e5f\u5c31\u662f\u6311\u9009\u6700\u5927\u72b6\u6001\u503c\uff09\u3002\u76f8\u53cd\u5730\uff0c\u81ea\u7136\u800c\u7136\u5730\uff0c\u5bf9\u624b\u5fc5\u987b\u4e8e\u6240\u6709\u72b6\u6001\u5f00\u5c55\u76f8\u540c\u7684\uff08\u5bf9\u4ed6\u6765\u8bf4\uff09\u65e0\u6cd5\u8fa8\u522b\u7684\u6311\u9009\u3002\u6709\u79cd\u60c5\u51b5\u5728\u6df1\u5ea6\u6709\u9650\u5904\uff0c\u7814\u7a76\u8005\u8bc1\u5b9e\u4e86\uff0c\u8981\u662f\u5bf9\u624b\u88ab\u7ed9\u5230\u8db3\u591f\u6570\u91cf\u7684\u7b56\u7565\uff0c\u90a3\u4e48\u5904\u5728\u6df1\u5ea6\u6709\u9650\u5904\u7684\u4efb\u4f55\u5b50\u535a\u5f08\u6c42\u89e3\uff0c\u90fd\u662f\u5b8c\u6574\u535a\u5f08\u7684\u7eb3\u4ec0\u5747\u8861\u7b56\u7565\u91cc\u7684\u4e00\u90e8\u5206\u3002\u4ed6\u4eec\u8fd8\u501f\u52a9\u5b9e\u9a8c\u8868\u660e\u4e86\uff0c\u5f53\u53ea\u4e3a\u63d0\u9ad8\u8ba1\u7b97\u901f\u5ea6\u800c\u4ec5\u63d0\u4f9b\u5c11\u91cf\u7b56\u7565\u65f6\uff0c\u8be5\u65b9\u6cd5\u7684\u6027\u80fd\u62b5\u8fbe\u4e86\u6781\u7aef\u7684\u9ad8\u5ea6 \u3002<\/p>\n<p>\u8fdb\u884c\u5b9e\u9a8c\u7684\u7814\u7a76\u8005\uff0c\u5728\u4e00\u5bf9\u4e00\u65e0\u9650\u6ce8\u5fb7\u5dde\u6251\u514b\u4e5f\u5c31\u662f HUNL \u4e0a\u6784\u5efa\u4e86\u5b9e\u9a8c\uff0c\u540c\u65f6\u8fd8\u5728\u4e00\u5bf9\u4e00\u65e0\u9650\u6ce8 flop \u6251\u514b\u5373 NLFH \u4e0a\u6784\u5efa\u4e86\u5b9e\u9a8c\uff0c\u9644\u5f55 B \u5f53\u4e2d\u6709\u8fd9\u4e9b\u6e38\u620f\u7684\u89c4\u5219\uff0cHUNL \u662f\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08 AI \u7684\u4e3b\u8981\u5927\u89c4\u6a21\u57fa\u51c6\uff0cNLFH \u548c HUNL \u76f8\u4f3c\uff0c\u53ea\u662f\u535a\u5f08\u4f1a\u5728\u7b2c\u4e8c\u4e2a\u56de\u5408\u4e4b\u540e\u9a6c\u4e0a\u5c31\u7ed3\u675f\uff0c\u501f\u7740\u8fd9\u4e2a\u4f7f\u5f97\u5176\u89c4\u6a21\u8db3\u591f\u5c0f\uff0c\u8fdb\u800c\u80fd\u591f\u7cbe\u786e\u5730\u8ba1\u7b97\u6700\u4f73\u53cd\u5e94\u548c\u7eb3\u4ec0\u5747\u8861\uff0c\u6027\u80fd\u662f\u4f9d\u636e mbb\/g \u6765\u6d4b\u91cf\u7684\uff0c\u8fd9\u662f\u6587\u732e\u91cc\u7684\u6807\u51c6\u80dc\u7387\u5ea6\u91cf\u3002mbb\/g\u4e5f\u5c31\u662fmilli &#8211; big blinds per game\uff0c\u5b83\u8868\u793a\u73a9\u5bb6\u4e8e\u6bcf\u4e00\u624b\u724c\u91cc\uff0c\u5e73\u5747\u80fd\u591f\u8d62\u53d6\u7684\u5927\u76f2\u6ce8\uff08\u73a9\u5bb6\u5728\u8d77\u59cb\u65f6\u5fc5\u987b\u627f\u8bfa\u4e0b\u7684\u8d4c\u6ce8\uff09\u7684\u4e00\u5343\u5206\u4e4b\u4e00 \u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/01\/1768287993622_1.webp' alt='\u5fb7\u5dde\u724c\u6251\u514b\u5b98\u7f51\u4e0b\u8f7dapp_\u5fb7\u5dde\u6251\u514b\u5927\u5e08_\u5fb7\u5dde\u6251\u514b\u724c\u624b\u673a\u4e0b\u8f7d' \/><\/p>\n<p>\u56fe2\uff0c\u56de\u5e94\u5bf9\u624b\u7684off &#8211; tree\u52a8\u4f5c\u7684\u6df1\u5ea6\u6709\u9650\u89e3\u51b3\u65b9\u6848\u7684\u5229\u7528\u5ea6\uff0c\u6b64\u5229\u7528\u5ea6\u4f5c\u4e3a\u72b6\u6001\u503c\u6570\u91cf\u7684\u51fd\u6570\uff0c\u7814\u7a76\u8005\u4f5c\u4e86\u5bf9\u6bd4\uff0c\u5bf9\u6bd4\u7684\u662f\u52a8\u4f5c\u8f6c\u6362\u7684\u65b9\u6cd5\uff0c\u4ee5\u53ca\u5728\u52a8\u4f5c\u63d0\u53d6\u4e2d\u5305\u542boff &#8211; tree\u52a8\u4f5c\u7684\u65b9\u6cd5\uff0c\u5728\u52a8\u4f5c\u63d0\u53d6\u4e2d\u5305\u542boff &#8211; tree\u52a8\u4f5c\u7684\u65b9\u6cd5\u6307\u5728CFR +\u76841000\u6b21\u8fed\u4ee3\u7684\u8fbe\u6210\u5229\u7528\u5ea6\u662f\u4e0b\u9650\u503c\u7684\u90a3\u79cd\u65b9\u6cd5 \u3002<\/p>\n<p>\u6211\u4eec\u9488\u5bf96.2\u5728\u4e00\u5bf9\u4e00\u65e0\u9650\u6ce8\u5fb7\u5dde\u6251\u514b\uff08HUNL\uff09\u4e0a\uff0c\u4e0e\u9876\u5c16AI\u5c55\u5f00\u5bf9\u6297\u7684\u5b9e\u9a8c\u4e4b\u4e2d\uff0c\u4e3b\u8981\u91c7\u7528\u4e86\u6df1\u5ea6\u6709\u9650\u6c42\u89e3\u8fd9\u79cd\u65b9\u6cd5\uff0c\u800c\u4e14\u53ea\u662f\u501f\u52a9\u666e\u901a\u7b14\u8bb0\u672c\u7535\u8111\u5185\u5b58\u6709\u7684\u8ba1\u7b97\u8d44\u6e90\uff0c\u4ece\u800c\u751f\u6210\u4e86\u5177\u5907\u5927\u5e08\u7ea7\u6c34\u5e73\u7684HUNL\u6251\u514bAI\uff0c\u5373Modicum\u554a\u3002\u6211\u4eec\u5bf9Modicum\u3001Baby Tartanian8\u4ee5\u53caSlumbot\u8fdb\u884c\u4e86\u6d4b\u8bd5\uff0cBaby Tartanian8\u662f2016\u5e74\u5ea6\u8ba1\u7b97\u673a\u6251\u514b\u7ade\u8d5b\u7684\u83b7\u80dc\u8005\uff0cSlumbot\u662f2018\u5e74\u5ea6\u8ba1\u7b97\u673a\u6251\u514b\u7ade\u8d5b\u7684\u83b7\u80dc\u8005\uff0cBaby Tartanian8\u4e0d\u4f7f\u7528\u5b9e\u65f6\u8ba1\u7b97\uff0c\u5176 \u7b56\u7565\u662f\u5728\u9884\u8ba1\u7b97\u7684\u67e5\u627e\u8868\u4e2d\u641c\u7d22\u5f97\u5230\u7684\uff0cSlumbot\u4e5f\u4e0d\u4f7f\u7528\u5b9e\u65f6\u8ba1\u7b97\uff0c\u5b83\u7684\u7b56\u7565\u540c\u6837\u662f\u5728\u9884\u8ba1\u7b97\u7684\u67e5\u627e\u8868\u4e2d\u641c\u7d22\u5f97\u5230\u7684\u3002Baby Tartanian8 \u8ba1\u7b97\u7b56\u7565\u65f6\uff0c\u4f7f\u7528\u4e86\u5927\u7ea6 250000 \u4e2a\u6838\u5fc3\u8ba1\u7b97\u5c0f\u65f6\uff0c\u4ee5\u53ca 2TB RAM\u3002\u76f8\u53cd\uff0cModicum \u8ba1\u7b97\u7b56\u7565\u4ec5\u7528 700 \u4e2a\u6838\u5fc3\u8ba1\u7b97\u5c0f\u65f6\u548c 16GB \u7684 RAM\uff0c\u5e76\u4e14\u5b83\u5728\u4f7f\u7528 4 \u6838 CPU \u7684\u60c5\u5f62\u4e0b\u8fd8\u80fd\u591f\u4ee5\u4eba\u7c7b\u4e13\u5bb6\u7684\u901f\u5ea6\u5b9e\u65f6\u8fdb\u884c\u535a\u5f08\uff0c\u5e73\u5747\u4e00\u624b\u6251\u514b\u9700\u8981 20 \u79d2 \u3002<\/p>\n<p>\u6709\u8fd9\u6837\u4e00\u79cd\u60c5\u51b5\uff0c7 \u4e0e\u5148\u524d\u7814\u7a76\u5de5\u4f5c\u76f8\u6bd4\uff0c\u5148\u524d\u7814\u7a76\u5de5\u4f5c\u5b58\u5728\u901a\u8fc7\u4e3a\u72b6\u6001\u5206\u914d\u591a\u4e2a\u503c\u7684\u505a\u6cd5\uff0c\u800c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u672c\u8bba\u6587\u4ecb\u7ecd\u4e86\u4e00\u79cd\u514b\u670d\u8fd9\u4e00\u6311\u6218\u7684\u65b9\u6cd5\u3002\u6709\u4e00\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\u5462\uff0c\u662f\u628a\u300c\u72b6\u6001\u300d\u7684\u5b9a\u4e49\u4fee\u6539\u4e3a\u6240\u6709\u535a\u5f08\u8005\u5bf9\u72b6\u6001\u7684\u4fe1\u5ff5\u6982\u7387\u5206\u5e03\uff0c\u4e5f\u5c31\u662f belief probability distribution\uff0c\u6211\u4eec\u628a\u8fd9\u79cd\u60c5\u51b5\u79f0\u4e4b\u4e3a\u8054\u5408\u4fe1\u5ff5\u72b6\u6001\uff0c\u5e76\u4e14\u8fd9\u79cd\u6280\u672f\u4ee5\u524d\u4e5f\u88ab\u7528\u6765\u5f00\u53d1\u6251\u514b AI DeepStack \u3002\u8fd8\u6709\u5b9e\u9a8c\u8868\u660e\uff0c\u5728\u6211\u4eec\u8fdb\u884c\u6d4b\u8bd5\u7684\u9886\u57df\u5f53\u4e2d\uff0c\u4f7f\u7528\u591a\u503c\u72b6\u6001\uff0c\u4e5f\u5c31\u662f multi-valued states\uff0c\u80fd\u591f\u4ea7\u751f\u66f4\u597d\u7684\u6027\u80fd\u3002\u6bd4\u5982\u8bf4\uff0c\u54b1\u4eec\u7684\u9014\u5f84\u5728\u5c11\u4e8e\u4e00\u5343\u4e2a\u6838\u5fc3\u8ba1\u7b97\u5c0f\u65f6\u7684\u72b6\u51b5\u4e0b\uff0c\u80fd\u591f\u6218\u80dc\u4e24\u79cd\u5148\u524d\u9876\u7ea7\u7684\u5fb7\u5dde\u6251\u514b AI\u3002\u4e0e\u4e4b\u76f8\u8f83\uff0c\u5c3d\u7ba1 DeepStack \u6218\u80dc\u4e86\u5728 HUNL \u91cc\u6ca1\u90a3\u4e48\u4e13\u4e1a\u7684\u4eba\u7c7b\u884c\u5bb6\uff0c\u4e0d\u8fc7\u5b83\u5373\u4fbf\u52a8\u7528\u4e86\u4e00\u767e\u4e07 \u4e2a\u6838\u5fc3\u8ba1\u7b97\u5c0f\u65f6\uff0c\u4e5f\u65e0\u6cd5\u6253\u8d25\u5148\u524d\u9876\u5c16\u7684 AI\u3002\u7136\u800c\uff0c\u8fd9\u4e24\u79cd\u529e\u6cd5\u90fd\u5404\u6709\u4f18\u52a3\u4e4b\u5904\uff0c\u6211\u4eec\u5f97\u4f9d\u636e\u9886\u57df\u6b63\u786e\u5730\u6311\u9009\uff0c\u672a\u6765\u7684\u7814\u7a76\u6216\u8bb8\u4f1a\u63d0\u5347\u5b83\u4eec\u7684\u6027\u80fd\u4e0e\u4f18\u52bf\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CMU \u51b7\u6251\u5927\u5e08\u56e2\u961f\u5728\u8bfb\u535a\u58eb Noam Brown\u3001Tuomas Sandholm \u6559\u6388\u548c\u7814\u7a76\u52a9\u7406 Brandon Amos \u8fd1\u65e5\u63d0\u4ea4\u4e86\u4e00\u4e2a\u65b0\u7814\u7a76\uff1a\u5fb7\u5dde\u6251\u514b\u4eba\u5de5\u667a\u80fd Modicum<\/p>\n","protected":false},"author":1,"featured_media":6853,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[225,3011,785,5367,731],"class_list":["post-6852","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pkxw","tag-ai","tag-cmu","tag-deepstack","tag-5367","tag-731"],"_links":{"self":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/posts\/6852","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/comments?post=6852"}],"version-history":[{"count":0,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/posts\/6852\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/media\/6853"}],"wp:attachment":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/media?parent=6852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/categories?post=6852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/tags?post=6852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}