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\u4e0d\u4e00\u6837\u7684\u65b9\u5f0f\u88abDeepStack\u5e94\u7528\u91c7\u7528\u4e86\uff0c\u5b83\u501f\u52a9CFR\u91cc\u7684\u5faa\u73af\u63a8\u7406\u6301\u7eed\u5904\u7406\u4fe1\u606f\u4e0d\u5bf9\u79f0\u7684\u72b6\u51b5\uff0c\u7136\u800c\u5b83\u4e0d\u8ba1\u7b97\u5b58\u50a8\u5b8c\u6574\u4f18\u5148\u7b56\u7565\u7528\u4e8e\u535a\u5f08\uff0c\u56e0\u6b64\u4e5f\u65e0\u9700\u8fdb\u884c\u7b80\u8981\u63d0\u70bc\uff0c\u76f8\u53cd\uff0c\u5728\u6e38\u620f\u91cc\uff0c\u6bcf\u4e00\u4e2a\u5177\u4f53\u573a\u666f\u51fa\u73b0\u65f6\u5b83\u4f1a\u8fdb\u884c\u8003\u91cf\uff0c\u4e0d\u8fc7\u5e76\u975e\u5355\u72ec\u8fdb\u884c\u7684\u3002<\/p>\n
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\u795e\u7ecf\u7f51\u7edc\u673a\u5668\u5b66\u4e60\u7cfb\u7edf\u7b2c\u4e00\u6b21\u6218\u80dc\u4eba\u7c7b\u804c\u4e1a\u73a9\u5bb6<\/p>\n
\u8ddf\u804c\u4e1a\u9009\u624b\u5bf9\u6297\u7ed3\u679c<\/p>\n
\u6211\u4eec\u8058\u8bf7\u4e86\u56fd\u9645\u6251\u514b\u8054\u76df\u91cc\u7684\u4e13\u4e1a\u6251\u514b\u9009\u624b\uff0c\u76ee\u7684\u662f\u5c06DeepStack\u4e0e\u4eba\u7c7b\u4e13\u5bb6\u4f5c\u6bd4\u8f83\uff0c\u9009\u624b\u4eec\u4e8e4\u5468\u5185\u5b8c\u62103000\u5c40\u6bd4\u8d5b\u3002\u6709\u5956\u52b1\u7ed9\u4e88\u6392\u540d\u6700\u9ad8\u7684\u524d\u4e09\uff0c\u4ee5AIVAT\u8ba1\uff0c\u5206\u522b\u662f5000\u52a0\u5143\u30012500\u52a0\u5143\u548c1250\u52a0\u5143\uff0c\u7528\u6765\u6fc0\u52b1\u9009\u624b\u3002\u6bd4\u8d5b\u4e8e2016\u5e7411\u67087\u65e5\u81f312\u670812\u65e5\u5728\u7ebf\u4e0a\u4e3e\u529e\uff0c\u6251\u514b\u9009\u624b\u80fd\u591f\u9009\u62e9\u6700\u591a\u540c\u65f6\u73a94\u5c40\uff0c\u8fd9\u5728\u7ebf\u4e0a\u662f\u8f83\u4e3a\u5e38\u89c1\u7684\u3002\u603b\u8ba1\u670933\u540d\u9009\u624b\uff0c\u4ed6\u4eec\u6765\u81ea17\u4e2a\u56fd\u5bb6\uff0c\u4e0eDeepStack\u5c55\u5f00\u4e86\u8f83\u91cf \uff0cDeepStack\u5bf9\u6bcf\u4e2a\u4eba\u6bd4\u8d5b\u65f6\u7684\u8868\u73b0\u60c5\u51b5\u5982\u4e0b\u88681\u6240\u793a \u3002<\/p>\n
<\/p>\n
\u88681\uff0c\u5173\u4e8e\u8ddf\u804c\u4e1a\u6251\u514b\u9009\u624b\u8f83\u91cf\u7684\u7ed3\u679c\uff0c\u8be5\u7ed3\u679c\u662f\u901a\u8fc7AIVAT\u8fdb\u884c\u8861\u91cf\u7684\uff0c\u540c\u65f6\u4e5f\u662f\u7528\u6240\u8d62\u5f97\u7684\u7b79\u7801\u6765\u8861\u91cf\u7684\uff0c\u5e76\u4e14\u662f\u4ee5mbb\/g\u4f5c\u4e3a\u5355\u4f4d\u6765\u5448\u73b0\u7684\u3002<\/p>\n
<\/p>\n
\u88682\uff0c\u5411\u524d\u5206\u89e3\uff0c\u8981\u4f9d\u636e\u5728\u54ea\u4e00\u8f6e\u6765\u8fdb\u884c\u5177\u4f53\u5206\u6790\u3002F\u3001C\u30011\/2P\u3001P\u30012P\u548cA\uff0c\u5206\u522b\u662f\u8fd9\u6837\u7684\u7f29\u5199\uff1a\u5f03\u724c\uff08Fold\uff09\uff0c\u8ddf\u8fdb\uff08Call\uff09\uff0c\u4e8c\u5206\u4e4b\u4e00\u5e95\u6c60\u62bc\u6ce8\uff08half of a pot-sized bet\uff09\uff0c\u5e95\u6c60\u62bc\u6ce8\uff08a pot-sized bet\uff09\uff0c\u53cc\u500d\u5e95\u6c60\u62bc\u6ce8\uff08twice a pot-sized bet\uff09\uff0c\u4ee5\u53ca\u5168\u6ce8\uff08All in\uff09\u3002 \u3002\u6700\u540e\u4e00\u5217\u6240\u5448\u73b0\u7684\u662f\uff0c\u5f53\u51fa\u73b0\u8d85\u8fc7\u6df1\u5ea6\u9650\u5236\u8fd9\u79cd\u60c5\u51b5\u65f6\uff0c\u6240\u7528\u5230\u7684\u662f\u54ea\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\uff0c\u662fflop\u7f51\u7edc\uff0c\u8fd8\u662fturn\u7f51\u7edc\uff0c\u4ea6\u6216\u8005\u662f\u8f85\u52a9\u7f51\u7edc\u3002<\/p>\n
\u6bd4\u8d5b\u901f\u5ea6<\/p>\n
\u5b9e\u73b0\u5206\u89e3\u8ba1\u7b97\uff0c\u5728\u4e00\u4e2a GPU \u4e0a\u5b9e\u65bd\uff0c\u5b9e\u73b0\u795e\u7ecf\u7f51\u7edc\u8bc4\u4f30\u3002\u8fd9\u81f4\u4f7f\u5b83\u80fd\u591f\u4e00\u6b21\u5feb\u901f\u6279\u91cf\u8c03\u7528\u53cd\u4e8b\u5b9e\u4ef7\u503c\u7f51\u7edc\u4e0a\u591a\u4e2a\u5b50\u516c\u5171\u6811\u3002\u6b64\u4e3a\u8ba9 DeepStack \u53d8\u5feb\u7684\u5173\u952e\u6240\u5728\u3002\u5728 Torch7 \u91cc\u8fdb\u884c\u5f00\u53d1\uff0c\u5e76\u5728 NVIDIA GeForce GTX 1080 \u663e\u5361\u4e0a\u8fd0\u884c\u3002\u8bf8\u591a\u4e0a\u8ff0\u5b9e\u73b0\u624b\u6bb5\u7686\u662f\u4e3a\u4e86\u4f7f DeepStack \u5feb\u901f\u8fd0\u884c\uff0c\u7406\u60f3\u72b6\u51b5\u4e0b\u5982\u540c\u4eba\u6253\u724c\u90a3\u822c\u5feb\u3002DeepStack\u548c\u4eba\u7c7b\u5728\u524d\u4e00\u6b65\u9aa4\u4e4b\u540e\u3001\u63d0\u4ea4\u4e0b\u4e00\u4e2a\u6b65\u9aa4\u4e4b\u524d\u7684\u5e73\u5747\u95f4\u9694\u65f6\u95f4\uff0c\u7531\u88683\u8fdb\u884c\u5c55\u793a\u3002\u5e73\u5747\u6765\u770b\uff0cDeepStack\u6bd4\u4eba\u7c7b\u9009\u624b\u5feb\u8bb8\u591a\u3002\u7136\u800c\u9700\u8981\u8bb0\u4f4f\uff0c\u4eba\u7c7b\u9009\u624b\u80fd\u591f\u540c\u65f6\u8fdb\u884c4\u5c40\u6bd4\u8d5b\uff08\u5c3d\u7ba1\u5f88\u5c11\u6709\u4eba\u540c\u65f6\u8fdb\u884c\u4e24\u5c40\u4ee5\u4e0a\uff09\uff0c\u6240\u4ee5\u5f53\u8f6e\u5230\u4eba\u7c7b\u9009\u624b\u6bd4\u8d5b\u65f6\uff0c\u5b83\u53ef\u80fd\u6b63\u5904\u4e8e\u53e6\u5916\u4e00\u76d8\u6bd4\u8d5b\u5f53\u4e2d\u3002<\/p>\n
\u90a3\u5f20\u88ab\u6807\u8bb0\u4e3a\u8868 3 \u7684\u8868\u683c\uff0c\u5448\u73b0\u51fa\u4eba\u7c7b\u4e0e DeepStack \u7684\u601d\u8003\u65f6\u95f4\u60c5\u51b5\uff0c\u5176\u4e2d DeepStack \u5728\u9996\u6b21\u8fdb\u884c\u53eb\u6ce8\u7684\u65f6\u5019\u4e5f\u5c31\u662f\u7b2c\u4e00\u8f6e\u53eb\u6ce8\u65f6\uff0c\u5e73\u5747\u65f6\u95f4\u5177\u5907\u8d85\u7ea7\u5feb\u7684\u7279\u6027\uff0c\u800c\u8fd9\u79cd\u60c5\u51b5\u610f\u5473\u7740\u5728\u7b2c\u4e00\u8f6e\u53eb\u6ce8\u8fd9\u4e2a\u9636\u6bb5\u7684\u72b6\u6001\uff0c\u901a\u5e38\u80fd\u591f\u5b9e\u73b0\u547d\u4e2d\u7f13\u5b58\u7684\u7ed3\u679c\u3002<\/p>\n
<\/p>\n
\u88684\uff0c\u5448\u73b0\u7684\u662f\u4e0d\u540c\u7a0b\u5e8f\u8fd0\u7528\u5c40\u90e8\u6700\u4f73\u53cd\u9988\uff0c\u4e5f\u5c31\u662fLBR\uff0clocal best response\u7684\u6700\u4f4e\u7a0b\u5ea6\u3002LBR\u53ea\u662f\u8bc4\u4f30\u6bcf\u4e00\u8f6e\u5728\u4e0b\u8868\u91cc\u6240\u7f57\u5217\u7684\u52a8\u4f5c\u3002F\u3001C\u30011\/2P\u3001P\u30012P\u4ee5\u53caA\u7684\u7f29\u5199\u610f\u4e49\u548c\u4e4b\u524d\u76f8\u540c\u3002<\/p>\n
<\/p>\n
\u6700\u7406\u60f3\u7684\u53cd\u9988\u6240\u5bf9\u5e94\u7684\u4ef7\u503c\uff0c\u4e0e\u9760\u81ea\u8eab\u8fdb\u884c\u6e38\u620f\u6240\u5448\u73b0\u51fa\u7684\u4ef7\u503c\uff0c\u4e8c\u8005\u76f8\u5bf9\u6bd4 \uff0c\u5b58\u5728\u5dee\u5f02 \u3002<\/p>\n
DeepStack\u5728\u6301\u7eed\u5206\u89e3\u8ba1\u7b97\u91cc\u91c7\u7528\u7684\u662f\u81ea\u73a9\u4f30\u503c\uff0c\u800c\u975e\u6700\u4f73\u53cd\u9988\u4f30\u503c\u3002\u4e4b\u524d\u7684\u9884\u6d4b\u8bd5\u7528CFR – D\u53bb\u89e3\u51b3\u66f4\u5c0f\u7684\u6bd4\u8d5b\uff0c\u8fd9\u663e\u793a\u51fa\u81ea\u73a9\u4f30\u503c\u6240\u4ea7\u751f\u7684\u7b56\u7565\u901a\u5e38\u653b\u51fb\u6027\u66f4\u5c0f\uff0c\u548c\u6700\u4f73\u53cd\u9988\u4f30\u503c\u6240\u4ea7\u751f\u7684\u7b56\u7565\u76f8\u6bd4\u8f83\uff0c\u5728\u4e0e\u6d4b\u8bd5\u667a\u80fd\u4ee3\u7406\u4e00\u5bf9\u4e00\u7684\u60c5\u51b5\u4e0b\u8868\u73b0\u66f4\u597d\u3002\u56fe5\u5c55\u793a\u4e86\u4e00\u4e2a\u4f8b\u5b50\uff0c\u662f\u5173\u4e8eDeepStack\u5728\u7279\u5b9a\u7b2c\u4e94\u5f20\u724c\u7684\u535a\u5f08\u4e2d\u6709\u7740\u4e0d\u540c\u6570\u5b57\u7684\u5206\u89e3\u8fed\u4ee3\u7684\u653b\u51fb\u6027 \u3002\u9664\u4e86\u6b20\u7f3a\u5bf9\u5176\u7a33\u56fa\u6027\u7684\u7406\u8bba\u8bc4\u4f30\uff0c\u91c7\u7528\u81ea\u73a9\u4f30\u503c\uff0c\u770b\u4e0a\u53bb\u6070\u4f3c\u6700\u4f73\u53cd\u9988\u4f30\u503c\u90a3\u822c\uff0c\u6700\u7ec8\u6536\u655b\u4e8e\u4f4e\u653b\u51fb\u6027\u7b56\u7565\u3002<\/p>\n
<\/p>\n
\u56fe5\uff0cDeepStack\uff0c\u5728\u7b2c\u4e94\u5f20\u724c\u5f00\u59cb\u524d\uff0c\u6709\u7279\u5b9a\u516c\u5171\u72b6\u6001\uff0c\u5176\u653b\u51fb\u6027\u4e0e\u5206\u89e3\u8fed\u4ee3\u6570\u91cf\u4e4b\u95f4\uff0c\u5b58\u5728\u4e00\u4e2a\u65b9\u7a0b \u3002<\/p>\n
\u7b97\u6cd5 DeepStack \uff1a\u8ba9\u673a\u5668\u62e5\u6709\u201c\u76f4\u89c9\u201d<\/p>\n
DeepStack\u5c5e\u4e8e\u4e00\u5927\u7c7b\u5e8f\u5217\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u901a\u7528\u7b97\u6cd5\uff0c\u6211\u4eec\u4f1a\u9610\u91caDeepStack\u5728HUNL\uff08\u4e00\u5bf9\u4e00\u65e0\u9650\u6ce8\uff09\u5fb7\u5dde\u6251\u514b\u91cc\u7684\u4f5c\u7528\uff0c\u6251\u514b\u6e38\u620f\u72b6\u6001\u53ef\u5206\u4e3a\u73a9\u5bb6\u79c1\u4eba\u4fe1\u606f\u5373\u4e24\u5f20\u724c\u9762\u671d\u4e0b\u7684\u624b\u724c\uff0c\u4ee5\u53ca\u516c\u5171\u72b6\u6001\uff0c\u8fd9\u5305\u62ec\u724c\u9762\u671d\u4e0a\u7684\u516c\u5171\u724c\u548c\u73a9\u5bb6\u4e0b\u6ce8\u987a\u5e8f\uff0c\u6e38\u620f\u4e2d\u516c\u5171\u72b6\u6001\u53ef\u80fd\u5e8f\u5217\u6784\u6210\u516c\u5171\u6811\uff0c\u6bcf\u4e2a\u516c\u5171\u72b6\u6001\u90fd\u6709\u4e00\u4e2a\u76f8\u5173\u8054\u7684\u5b50\u516c\u5171\u6811\uff0c\u89c1\u4e0b\u56fe6\uff1a<\/p>\n
<\/p>\n
\u56fe6\uff0c\u5b83\u662fHUNL\u516c\u5171\u6811\u7684\u4e00\u90e8\u5206\uff0c\u5176\u4e2d\u7ea2\u8272\u4ee5\u53ca\u6e56\u84dd\u8272\u6240\u4ee3\u8868\u7684\u662f\u73a9\u5bb6\u7684\u52a8\u4f5c\uff0c\u800c\u7eff\u8272\u4ee3\u8868\u7684\u662f\u88ab\u7ffb\u5f00\u7684\u516c\u5171\u724c\u3002<\/p>\n
DeepStack\u7b97\u6cd5\u5c1d\u8bd5\u53bb\u8ba1\u7b97\u73a9\u6e38\u620f\u65f6\u7684\u4f4e\u5229\u7528\u7387\u7b56\u7565\uff0c\u4e5f\u5c31\u662f\u6c42\u89e3\u8fd1\u4f3c\u7684\u7eb3\u4ec0\u5747\u8861\u3002DeepStack\u5728\u73a9\u724c\u7684\u65f6\u5019\u8ba1\u7b97\u6b64\u7b56\u7565\uff0c\u516c\u5171\u6811\u7684\u72b6\u6001\u5982\u540c\u56fe7\u6240\u793a\u3002\u8fd9\u79cd\u672c\u5730\u7684\u8ba1\u7b97\u81f4\u4f7fDeepStack\u5728\u5bf9\u4e8e\u73b0\u6709\u7b97\u6cd5\u800c\u8a00\u89c4\u6a21\u8fc7\u5927\u7684\u6e38\u620f\u91cc\u80fd\u591f\u8fdb\u884c\u63a8\u7406\uff0c\u539f\u56e0\u5728\u4e8e\u9700\u8981\u62bd\u8c61\u5f97\u51fa\u7684\u6e38\u620f\u768410\u7684160\u6b21\u65b9\u51b3\u7b56\u70b9\u964d\u4f4e\u523010\u768414\u6b21\u65b9\uff0c\u8fd9\u4f7f\u5f97\u7b97\u6cd5\u53d8\u5f97\u6613\u4e8e\u5904\u7406\u3002<\/p>\n
<\/p>\n
\u56fe\u4e03\uff0c\u90a3\u662f DeepStack \u7684\u6982\u89c8\u56fe\u3002\u5176\u4e2d\u7684\uff08a\uff09\u90e8\u5206\uff0c DeepStack \uff0c\u4f1a\u9488\u5bf9\u6bcf\u4e2a\u516c\u5171\u72b6\u6001\u4e0b\u7684\u52a8\u4f5c\u53bb\u8fdb\u884c re – solves\u64cd \u4f5c\uff0c\u5b83\u8fd0\u7528\u7684\u662f depth – limited lookahead \u65b9\u6cd5\uff0c\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u91cc\uff0c\u5b50\u6811\u503c\u7684\u8ba1\u7b97\u662f\u501f\u52a9\u5df2\u7ecf\u8bad\u7ec3\u5b8c\u6bd5\u7684\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u6765\u5b8c\u6210\u7684\u3002\uff08b\uff09\u90e8\u5206\uff0c\u662f\u901a\u8fc7\u968f\u673a\u751f\u6210\u7684\u6251\u514b\u72b6\u6001\uff0c\u5728\u73a9\u6251\u514b\u724c\u4e4b\u524d\u5f00\u5c55\u8bad\u7ec3\u5de5\u4f5c\u3002\uff08c\uff09\u90e8\u5206\uff0c\u6700\u7ec8\u72b6\u6001\u5c31\u5982\u540c\u56fe\u4e09\u90a3\u6837\u5b50\u7684\u3002<\/p>\n
DeepStack\u7b97\u6cd5\u5305\u542b\u4e09\u4e2a\u90e8\u5206\uff0c\u5176\u4e00\u4e3a\u9488\u5bf9\u5f53\u4e0b\u516c\u5171\u72b6\u6001\u7684\u672c\u5730\u7b56\u7565\u8ba1\u7b97\uff0c\u4e5f\u5c31\u662flocal strategy computation\uff0c\u5176\u4e8c\u662f\u8fd0\u7528\u4efb\u610f\u6251\u514b\u72b6\u6001\u7684\u5b66\u4e60\u4ef7\u503c\u51fd\u6570\u8fdb\u884cdepth – limited lookahead\uff0c\u5176\u4e09\u662f\u9884\u6d4b\u52a8\u4f5c\u7684\u53d7\u9650\u96c6\u5408\u3002<\/p>\n
\u8fde\u7eed Re-Solving<\/p>\n
\u91c7\u53d6\u81ea\u8eab\u884c\u52a8\uff1a\u628a\u5bf9\u624b\u7684\u53cd\u4e8b\u5b9e\u6570\u503c\u66ff\u6362\u6210\u5728\u9488\u5bf9\u4e3a\u6211\u4eec\u81ea\u8eab\u6289\u62e9\u52a8\u4f5c\u7684\u89e3\u51b3\u529e\u6cd5\u91cc\u6240\u8ba1\u7b97\u5f97\u51fa\u7684\u503c\uff0c\u8fd0\u7528\u8ba1\u7b97\u7b56\u7565\u8ddf\u8d1d\u53f6\u65af\u89c4\u5219\u53bb\u66f4\u65b0\u6211\u4eec\u81ea\u8eab\u7684\u52a8\u4f5c\u8303\u7574\u3002<\/p>\n
\u5728Chance Action\u4e2d\uff0c\u8981\u505a\u7684\u662f\u7528\u4ece\u6700\u540e\u4e00\u6b21\u5206\u89e3\u4e3a\u8fd9\u4e2a\u52a8\u4f5c\u6240\u8ba1\u7b97\u51fa\u7684\u53cd\u4e8b\u5b9e\u503c\uff0c\u53bb\u66ff\u6362\u5bf9\u624b\u7684\u53cd\u4e8b\u5b9e\u503c\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u8fd8\u8981\u901a\u8fc7\u6e05\u9664\u5728\u4efb\u4f55\u65b0\u516c\u5171\u724c\u90fd\u4e0d\u53ef\u80fd\u7684\u624b\u724c\u8303\u56f4\u8fd9\u79cd\u65b9\u5f0f\uff0c\u6765\u66f4\u65b0\u6211\u4eec\u81ea\u5df1\u7684\u8303\u56f4\u3002<\/p>\n
Opponent Action\uff1a\u4e0d\u7528\u505a\u4ec0\u4e48\u3002<\/p>\n
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\u6df1\u5ea6\u53cd\u4e8b\u5b9e\u4ef7\u503c\u7f51\u7edc\uff0c\u6df1\u5ea6\u662f\u4ec0\u4e48\u6837\u7684\u6df1\u5ea6\uff0c\u53cd\u4e8b\u5b9e\u600e\u6837\u7684\u53cd\u4e8b\u5b9e\uff0c\u4ef7\u503c\u7f51\u7edc\u662f\u4f55\u79cd\u4ef7\u503c\u7f51\u7edc \u3002<\/p>\n
\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\uff0c\u4e5f\u5c31DNN\uff0c\u88ab\u8bc1\u5b9e\u62ff\u6765\u5728\u56fe\u50cf\u8bc6\u522b\u3001\u8bed\u97f3\u8bc6\u522b\u5de5\u4f5c\u91cc\u6781\u5176\u91cd\u8981\u3002\u81ea\u52a8\u751f\u6210\u97f3\u4e50\u3001\u73a9\u6e38\u620f\u7b49\u4efb\u52a1\u91c7\u7528\u8fd9\u4e2a\u6781\u4e3a\u5f3a\u5927\u7684\u6a21\u578b\u5de5\u5177\u3002DeepStack \u4f7f\u7528DNN\u548c\u5b9a\u5236\u7684\u67b6\u6784\uff0c\u5f53\u4f5c\u5b83\u7684 depth-limited lookahead\u5176\u7684\u4ef7\u503c\u51fd\u6570\u3002\u5c31\u5982\u540c\u56fe8\u90a3\u6837\u3002\u8bad\u7ec3\u4e24\u4e2a\u5f7c\u6b64\u72ec\u7acb\u7684\u7f51\u7edc\uff0c\u4e00\u4e2a\u5728\u521d\u6b65\u4e09\u5f20\u516c\u5171\u724c\u88ab\u5904\u7406\u4e4b\u540e\uff0c\u4e5f\u5c31\u662fflop\u7f51\u7edc\uff0c\u8fdb\u800c\u4f30\u8ba1\u6240\u5bf9\u5e94\u7684\u53cd\u4e8b\u5b9e\u503c\u3002\u53e6\u4e00\u4e2a\u5728\u5904\u7406\u7b2c\u56db\u5f20\u516c\u5171\u724c\u4e4b\u540e\uff0c\u4e5f\u5c31\u662fturn\u7f51\u7edc\uff0c\u518d\u53bb\u4f30\u8ba1\u53cd\u4e8b\u5b9e\u503c\u3002\u5b58\u5728\u4e00\u4e2a\u8f85\u52a9\u7f51\u7edc\uff0c\u5b83\u7684\u7528\u9014\u662f\uff0c\u5728\u53d1\u51fa\u4efb\u4e00\u5f20\u516c\u5171\u724c\u4e4b\u524d\uff0c\u52a0\u5feb\u5bf9\u5148\u524d\u52a8\u4f5c\u7684\u91cd\u65b0\u89e3\u6790 \u3002<\/p>\n
<\/p>\n
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CMU \u53c8\u88ab\u622a\u80e1<\/p>\n
\u8fd1\u65e5\uff0c\u65b0\u667a\u5143\u5728\u62a5\u9053\u91cc\u63d0\u53ca\u5fb7\u4fe1\u7ade\u6280\uff0c\u6709\u4e00\u9879\u8d5b\u4e8b\uff0c\u540d\u4e3a\u201c\u4eba\u8111 vs \u4eba\u5de5\u667a\u80fd\uff1a\u8ddf\u4e0d\u8ddf \u201d\uff0c\u5b83\u5c06\u4e8e1\u670811\u65e5\u5728\u5339\u5179\u5821\u7684Rivers\u8d4c\u573a\u62c9\u5f00\u5e37\u5e55\u3002\u5728\u6bd4\u8d5b\u8fd9\u6bb5\u65f6\u95f4\uff0c\u804c\u4e1a\u6251\u514b\u624bJason Les\uff0cDong Kim\uff0cDaniel McAulay\u4ee5\u53caJimmy Chou\uff0c\u4f1a\u572820\u5929\u7684\u65f6\u957f\u5185\uff0c\u548cCMU\u8ba1\u7b97\u673a\u7a0b\u5e8f\u73a9120000\u624b\u4e00\u5bf9\u4e00\u4e0d\u9650\u6ce8\u7684\u5fb7\u5dde\u6251\u514b\u3002<\/p>\n
CMU\u6709\u4e2a\u53ebLibratus\u7684\u4eba\u5de5\u667a\u80fd\u7cfb\u7edf\uff0c\u76f8\u8f83\u4e8e\u53bb\u5e74\u5931\u8d25\u7684Claudico\uff0c\u5b83\u5728\u7b56\u7565\u65b9\u9762\u51fa\u73b0\u4e86\u6539\u53d8\uff0cLibratus\u662f\u5229\u7528Bridges\u8ba1\u7b97\u673a\u53bb\u5b9e\u65f6\u8ba1\u7b97\u51fa\u65b0\u7684\u7ec8\u5c40\u89e3\u51b3\u529e\u6cd5\u4ee5\u53ca\u7b97\u6cd5\u7684\uff0c\u5e76\u975e\u50cfClaudico\u90a3\u6837\u4f9d\u8d56\u7ec8\u5c40\u3002 \uff0c\u3002<\/p>\n
\u6b64\u5916\uff0cClaudico\u6240\u5e38\u7528\u7684\u7b56\u7565\u4e43\u662flimping\uff0c\u8fd9\u5c5e\u4e8e\u4e00\u4e2a\u6251\u514b\u7528\u8bed\uff0c\u5176\u542b\u610f\u662f\u8ddf\u6ce8\u63ba\u548c\u8fdb\u53bb\u77a7\u4e00\u77a7\uff0c\u5e76\u975e\u52a0\u6ce8\u6216\u8005\u820d\u5f03\u3002\u800cLibratus\u6709\u65f6\u5019\u4e5f\u4f1a\u5982\u6b64\u8fd9\u822c \u3002<\/p>\n
\u80fd\u591f\u53d1\u73b0\uff0c\u5982\u540c\u4e0a\u6587\u4e2d\u6240\u63d0\u53ca\u7684DeepStack\u90a3\u822c\uff0c\u4ed6\u4eec\u671f\u671b\u53bb\u653b\u514b\u7684\u540c\u6837\u662f\u4e00\u5bf9\u4e00\uff08\u4e24\u4e2a\u9009\u624b\u9650\u5b9a\uff09\u4e0d\u8bbe\u6ce8\u7801\u7684\u5fb7\u5dde\u6251\u514b\u96be\u9898\uff0c\u8fd9\u662f\u4e00\u6b3e\u6781\u4e3a\u590d\u6742\u7684\u6e38\u620f\uff0c\u5b58\u5728\u7740\u4ee5\u5341\u4e3a\u5e95\u4e00\u767e\u516d\u5341\u6b21\u65b9\u7684\u4fe1\u606f\u96c6\u5408\uff0c\u6bcf\u4e2a\u96c6\u5408\u4f9d\u636e\u51fa\u724c\u65b9\u7684\u8ba4\u77e5\u62e5\u6709\u5404\u5f02\u7684\u8def\u5f84\uff0c\u8fd9\u4e2a\u5e9e\u5927\u4e14\u5de8\u5927\u7684\u4fe1\u606f\u96c6\u5408\u6bd4\u6574\u4e2a\u6d69\u701a\u5b87\u5b99\u7684\u90a3\u4e9b\u539f\u5b50\u6570\u91cf\u8fd8\u8981\u591a\u3002<\/p>\n
\u7136\u540e\u5c06\u4e24\u4e2a\u673a\u6784\u7684\u4ecb\u7ecd\u7efc\u5408\u6765\u770b\uff0c\u5b83\u4eec\u6240\u8fd0\u7528\u7684\u65b9\u6cd5\u4e5f\u5b58\u5728\u76f8\u4f3c\u4e4b\u5904\uff0c\u4e5f\u5c31\u662f\u91c7\u7528\u5b9e\u65f6\u8ba1\u7b97\u7684\u65b9\u5f0f\u3002CMU\u7684\u6bd4\u8d5b\u88ab\u5b89\u6392\u572811\u65e5\u8fdb\u884c\uff0c\u800c\u8fd9\u8fb9\u7684\u8bba\u6587\u5df2\u5728arXiv\u4e0a\u53d1\u8868\u516c\u5e03\uff0c\u770b\u6765\uff0cCMU\u4f3c\u4e4e\u53c8\u906d\u9047\u4e86\u88ab\u622a\u80e1\u7684\u60c5\u51b5\u3002<\/p>\n
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\u5173\u4e8e\u9b54\u7a97<\/p>\n
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