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href='\/index.php\/2026\/01\/23\/%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e5%86%8d%e6%ac%a1%e7%9e%84%e5%87%86%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b-%e4%ba%ba%e7%b1%bb%e7%8e%a9%e5%ae%b6%e9%a6%96%e6%ac%a1%e5%a4%b1%e8%b4%a5\/' title='Libratus' target='_blank'>Libratus<\/a>\u7684\u8f6f\u4ef6\u3002Libratus\u9a6c\u4e0a\u6253\u51fa\u4e86\u516b\u7ec4\u724c\uff0c\u5176\u4e2d\u9488\u5bf9\u6bcf\u4e2a\u5bf9\u624b\u6253\u51fa\u4e24\u7ec4\u724c\u3002\u5b83\u9a71\u4f7f\u7740\u4eba\u7c7b\u5bf9\u624b\u4e4b\u4e00\u7684Jason 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Libratus \u8eab\u4e3a\u6251\u514b\u7535\u8111\u73a9\u5bb6\uff0c\u5176\u4e3b\u8981\u7279\u6027\u4fbf\u662f\u201c\u6781\u5176\u5962\u4f88\u201d\u3002\u5728\u5927\u6cb3\u8d4c\u573a\u4e3e\u529e\u7684\u8fd9\u573a 20 \u65e5\u6bd4\u8d5b\u4e8e\u5468\u4e00\u7ed3\u675f\u65f6\uff0c\u4eba\u7c7b\u5df2\u7136\u4e8f\u635f\u4e86 180 \u4e07\u7f8e\u5143\u3002\uff08\u5b9e\u9645\u4e0a\u65e0\u9700\u771f\u6b63\u652f\u4ed8\u73b0\u91d1\uff0c\u94b1\u662f\u7528\u4e8e\u6251\u514b\u8ba1\u5206\u7684\u4e00\u79cd\u65b9\u5f0f\uff09\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6Tuomas Sandholm\u548cNoam Brown\uff0c\u4ed6\u4eec\u6765\u81ea\u5361\u5185\u57fa\u00b7\u6885\u9686\u5927\u5b66\uff0c\u4e00\u540c\u521b\u9020\u4e86\u4eba\u5de5\u667a\u80fdLibratus\uff0c\u4e3a\u6b64\u4e00\u8d77\u5e86\u795d\uff0c\u7535\u8111\u9996\u6b21\u5728\u65e0\u9650\u5fb7\u5dde\u6251\u514b\u4e2d\u6253\u8d25\u9876\u7ea7\u4eba\u7c7b\u73a9\u5bb6\uff0c\u800c\u65e0\u9650\u5fb7\u5dde\u6251\u514b\u662f\u4e16\u754c\u4e0a\u6700\u5353\u8d8a\u7684\u6251\u514b\u6e38\u620f\u3002<\/p>\n<p>\u4eba\u5de5\u667a\u80fd\u65b9\u9762\u7684\u4e13\u5bb6\uff0c\u59cb\u7ec8\u5c06\u6e38\u620f\u5f53\u4f5c\u5f00\u53d1\u4ee5\u53ca\u6d4b\u8bd5\u81ea\u8eab\u201c\u521b\u9020\u7269\u201d\u7684\u4e00\u79cd\u9014\u5f84\uff0c\u8ba1\u7b97\u673a\u5df2\u7136\u6218\u80dc\u4e86\u56fd\u9645\u8c61\u68cb\u3001\u56fd\u9645\u8df3\u68cb\u3001\u897f\u6d0b\u53cc\u9646\u68cb\u4ee5\u53ca\u56f4\u68cb\u9886\u57df\u4e2d\u6781\u4e3a\u51fa\u8272\u7684\u4eba\u7c7b\u9009\u624b\uff0c\u6251\u514b\u6e38\u620f\u56e0\u5b58\u5728\u673a\u4f1a\u56e0\u7d20\uff0c\u4e14\u73a9\u5bb6\u5e76\u4e0d\u6e05\u695a\u5bf9\u624b\u6301\u6709\u4f55\u79cd\u724c\uff0c\u6545\u800c\u6210\u4e3a\u4e00\u79cd\u72ec\u7279\u7684\u6311\u6218\uff0c\u8fd9\u79cd\u88ab\u79f0\u4f5c\u975e\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u7684\u6e38\u620f\uff0c\u9700\u8981\u67d0\u79cd\u4eba\u7c7b\u7684\u72e1\u9ee0\uff0c\u6bd4\u5982\u6b3a\u9a97\u5bf9\u624b\uff0c\u540c\u65f6\u80fd\u591f\u89c9\u5bdf\u5230\u5bf9\u65b9\u5728\u6b3a\u9a97\u81ea\u5df1\uff0c\u800c\u8fd9\u6070\u6070\u662f\u7535\u8111\u6240\u7f3a\u4e4f\u7684\u3002<\/p>\n<p>\u201c\u4f60\u4e8e\u6bd4\u8d5b\u91cc\u6240\u77a7\u89c1\u7684\u6251\u514b\u6e38\u620f\u662f\u65e0\u9650\u5fb7\u5dde\u6251\u514b\uff0c\u5176\u58f0\u8a89\u66f4\u591a\u6e90\u81ea\u827a\u672f\u800c\u975e\u79d1\u5b66\uff0c\u201dAdam Kucharski\u8bb2 \u4ed6\u4e43\u300a\u5b8c\u7f8e\u8d4c\u6ce8\uff1a\u79d1\u5b66\u548c\u6570\u5b66\u662f\u5982\u4f55\u4ece\u8d4c\u535a\u4e2d\u6392\u9664\u5e78\u8fd0\u300b\u7684\u4f5c\u8005\u3002\u201c\u5b58\u5728\u4e00\u79cd\u60f3\u6cd5\u662f\u8be5\u6e38\u620f\u4f1a\u56e0\u8fd9\u4e9b\u673a\u5668\u800c\u66f4\u957f\u4e45\u5730\u5b89\u5168\u3002\u201d\u3002<\/p>\n<p>\u8fd9\u79cd\u601d\u60f3\u4e8e\u8fd1\u51e0\u4e2a\u661f\u671f\uff0c\u83b7\u53d6\u5230\u7a81\u7834\u6027\u8fdb\u5c55\u5566\u3002\u5728\u4e00\u6708\u521d\u7684\u65f6\u5019\uff0c\u963f\u5c14\u4f2f\u5854\u5927\u5b66\uff0c\u4e5f\u5c31\u662fUniversity of Alberta \u7684\u7814\u7a76\u4eba\u5458\uff0c\u53d1\u8868\u4e86\u4e00\u7bc7\u6587\u7ae0\u5462\uff0c\u6587\u7ae0\u6240\u8bb2\u7684\u5185\u5bb9\u662f\uff0c\u4ed6\u4eec\u81ea\u5df1\u7814\u53d1\u51fa\u6765\u7684\uff0c\u540d\u4e3aDeepStack \u7684 <a href='\/index.php\/2026\/03\/14\/cmu%e3%80%81facebook%e8%81%94%e5%90%88ai%e5%87%bb%e8%b4%a5%e4%ba%ba%e7%b1%bb%ef%bc%81%e5%85%ad%e4%ba%ba%e5%be%b7%e6%89%91%e6%88%90%e7%84%a6%e7%82%b9\/' title='AI' target='_blank'>AI<\/a>\uff0c\u6253\u8d25\u4e86 11 \u4e2a\u804c\u4e1a\u6251\u514b\u73a9\u5bb6\u3002<\/p>\n<p>\u8fd9\u662f\u4e00\u4e2a\u6709\u4e89\u8bae\u7684\u95ee\u9898\uff0c\u5373DeepStack\u80fd\u4e0d\u80fd\u51fb\u8d25Libratus\u3002Sandholm\u8bb2\uff0c\u548c\u4ed6\u7684\u673a\u5668\u4eba\u5bf9\u9635\u7684\u804c\u4e1a\u73a9\u5bb6\uff0c\u6bd4\u88abDeepStack\u51fb\u8d25\u7684\u73a9\u5bb6\u66f4\u51fa\u8272\u3002\u963f\u5c14\u4f2f\u5854\u5927\u5b66\u8ba1\u7b97\u673a\u7a0b\u5e8f\u8d1f\u8d23\u4ebaMichael 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Schaeffer\u5c55\u5f00\u5408\u4f5c\uff0c\u6b64\u4eba\u6700\u4e3a\u51fa\u540d\u7684\u662f\u7f16\u5199\u4e86\u80fd\u591f\u5b8c\u7f8e\u8fdb\u884c\u56fd\u9645\u8df3\u68cb\u6bd4\u8d5b\u7684\u8f6f\u4ef6\u3002Billings\u529d\u8bf4Schaeffer\u63a5\u4e0b\u6765\u5c06\u7cbe\u529b\u96c6\u4e2d\u4e8e\u6251\u514b\u3002<\/p>\n<p>Schaffer\u4e3a\u89e3\u5f00\u56fd\u9645\u8df3\u68cb\u7684\u95ee\u9898\uff0c\u91c7\u7528\u4e86\u4e00\u79cd\u57fa\u672c\u8bd5\u56fe\u53bb\u8ba1\u7b97\u5728\u4efb\u4f55\u60c5\u5f62\u4e0b\u6700\u4f73\u79fb\u52a8\u7684\u529e\u6cd5\uff0c\u5374\u4e0d\u53bb\u8003\u91cf\u90a3\u4e00\u6b65\u6240\u53d1\u751f\u7684\u72b6\u51b5\u3002\u7136\u800c\uff0c\u5c06\u6bcf\u4e00\u6b65\u5f53\u4f5c\u4e00\u4e2a\u5b64\u7acb\u95ee\u9898\uff0c\u6b64\u4e3e\u5728\u6251\u514b\u8fd9\u7c7b\u6e38\u620f\u91cc\u5e76\u65e0\u610f\u4e49\uff0c\u56e0\u4e3a\u5176\u4e2d\u6d89\u53ca\u8fd0\u6c14\u56e0\u7d20\uff0c\u5e76\u4e14\u5e76\u975e\u6bcf\u4e2a\u4eba\u90fd\u80fd\u591f\u83b7\u53d6\u5230\u5b8c\u6574\u7684\u4fe1\u606f\u3002\u963f\u5c14\u4f2f\u5854\u5927\u5b66\u7684\u7814\u7a76\u4eba\u5458\u7740\u624b\u53bb\u5236\u5b9a\u4e00\u4e2a\u6574\u4f53\u6218\u7565\uff0c\u6b64\u6218\u7565\u8981\u6c42\u91c7\u7528\u5728\u535a\u5f08\u7406\u8bba\u91cc\u88ab\u79f0\u4f5c\u7eb3\u4ec0\u5747\u8861\uff08Nash equilibrium\uff09\u7684\u7b56\u7565\uff0c\u8fd9\u662f\u4e00\u79cd\u7528\u4e8e\u53cc\u4eba\u535a\u5f08\u7684\u529e\u6cd5\uff0c\u4ece\u957f\u8fdc\u89d2\u5ea6\u770b\uff0c\u65e0\u8bba\u5bf9\u624b\u4f5c\u51fa\u4f55\u79cd\u53cd\u5e94\uff0c\u91c7\u7528\u8be5\u7b56\u7565\u90fd\u4e0d\u4f1a\u4ea7\u751f\u635f\u5931\u3002<\/p>\n<p>\u7eb3\u4ec0\u5747\u8861\u5e76\u975e\u662f\u4e00\u79cd\u7406\u60f3\u7684\u6e38\u620f\u98ce\u683c\u3002\u5728\u6251\u514b\u6e38\u620f\u91cc\uff0c\u6267\u884c\u5747\u8861\u6218\u7565\u7684\u5173\u952e\u5728\u4e8e\uff0c\u6253\u51fa\u6700\u5f3a\u4e14\u6700\u5177\u6f5c\u529b\u7684\u4e00\u624b\u724c\uff0c\u5e76\u4e14\u8fd8\u8981\u4fdd\u6301\u96be\u4ee5\u6349\u6478\u3002\u201c\u5f53\u4f60\u62bc\u4e0a\u81ea\u5df1\u6700\u5f3a\u7684\u4e00\u624b\u724c\u65f6\uff0c\u4f9d\u65e7\u9700\u8981\u4fdd\u6709\u4e00\u4e1d\u8c28\u614e\uff0c\u201dBillings\u8bf4\u9053\u3002\u8be5\u56e2\u961f\u7814\u53d1\u4e86\u4e00\u4e2a\u5177\u6709\u8c28\u614e\u98ce\u683c\u7684AI\uff0c\u5176\u88ab\u79f0\u4f5cPink\u5148\u751f\uff0c\u800c\u53e6\u4e00\u4e2aAI\u662f\u79ef\u6781\u8fdb\u53d6\u98ce\u683c\uff0c\u540d\u4e3aAgent Orange\u3002\u96be\u4ee5\u63cf\u7ed8\u4e00\u4e2a\u8ba1\u7b97\u673a\u7a0b\u5e8f\u7684\u884c\u4e3a\u8868\u73b0\uff0c\u8fd9\u542c\u8d77\u6765\u4e0d\u50cf\u662f\u4f60\u6240\u8c08\u8bba\u7684\u4e8b\u7269\uff0c\u53ef\u5b9e\u9645\u4e0a\u5374\u662f\u4f60\u6240\u601d\u8003\u7684\u3002<\/p>\n<p>\u4e13\u95e8\u4ece\u4e8b\u535a\u5f08\u7406\u8bba\u7684\u963f\u5c14\u4f2f\u5854\u5927\u5b66\u7684Bowling\u88ab\u5747\u8861\u7b56\u7565\u6240\u5438\u5f15\uff0c\u8be5\u7b56\u7565\u4e8e2003\u5e74\u5f00\u59cb\u88ab\u5e94\u7528\u5230\u6251\u514b\u9886\u57df\u3002\u8eab\u4e3a\u5361\u5185\u57fa\u6885\u9686\u5927\u5b66Bowling\u8bba\u6587\u59d4\u5458\u4f1a\u4e00\u5458\u7684Sandholm\uff0c\u5728\u63a5\u4e0b\u6765\u7684\u4e00\u5e74\u8f6c\u5411\u6251\u514b\u9886\u57df\uff0c\u91c7\u7528\u4e86\u7c7b\u4f3c\u7684\u529e\u6cd5\u3002Sandholm\u548cBowling\u4ece2006\u5e74\u8d77\u5f00\u59cb\u5171\u540c\u4e3e\u529e\u5e74\u5ea6\u8ba1\u7b97\u673a\u6251\u514b\u6bd4\u8d5b\uff0c\u4f1a\u5b9a\u671f\u9488\u5bf9\u9876\u5c16\u7684\u4eba\u7c7b\u73a9\u5bb6\u3002\u629b\u5f00\u4ed6\u4eec\u4e4b\u95f4\u7684\u8fd9\u79cd\u7ade\u4e89\u5173\u7cfb\uff0c\u5b9e\u9a8c\u5ba4\u4e00\u76f4\u90fd\u5728\u5173\u6ce8\u5f7c\u6b64\u7684\u7814\u7a76\u6210\u679c\u3002<\/p>\n<p>\u5f80\u65f6\u51e0\u5e74\u95f4\uff0c\u8fd9\u4e24\u9879\u9879\u76ee\u663e\u8457\u6f14\u8fdb\u81f3\u6700\u7ec8\u65f6\u671f\u30022015\u5e741\u6708\u4e4b\u9645\uff0cBowling\u6240\u5728\u56e2\u961f\u53d1\u5e03\u4e00\u7bc7\u6587\u7ae0\uff0c\u5c55\u793a\u5176\u9488\u5bf9\u6709\u9650\u5fb7\u5dde\u6251\u514b\u5355\u6311\u73a9\u6cd5\u7684\u89e3\u51b3\u65b9\u5f0f\uff0c\u6b64\u73a9\u6cd5\u4e43\u4e00\u79cd\u53cc\u4eba\u6251\u514b\u6e38\u827a\uff0c\u8f83\u65e0\u9650\u5236\u5fb7\u5dde\u6251\u514b\u7b80\u6613\uff0c\u7f18\u56e0\u73a9\u5bb6\u80fd\u591f\u9650\u5b9a\u6295\u6ce8\u3002\u6570\u6708\u4e4b\u540e\uff0cSandholm\u4ee5\u53caBrown\uff08\u8fc7\u53bb\u4e94\u5e74\u4e8e\u6251\u514bAI\u9886\u57df\u540c\u5176\u5171\u4e8b\u7684\u535a\u58eb\u751f\uff09\uff0c\u4e8e\u5927\u6cb3\u8d4c\u573a\u4e3e\u529e\u4e86\u4ed6\u4eec\u9996\u573a\u201c\u4eba\u8111\u5bf9AI\u201d\u7ade\u8d5b\u3002\u4ed6\u4eec\u90a3\u540d\u4e3aClaudico\u7684\u673a\u5668\uff0c\u4e0e\u56db\u540d\u804c\u4e1a\u73a9\u5bb6\u5bf9\u6297\uff0c\u5728\u6253\u4e86\u8d85\u8fc78\u4e07\u624b\u724c\u540e\uff0c\u635f\u5931\u4e86$73.2\u4e07\u3002Sandholm\u79f0\uff0c\u6bd4\u8d5b\u52bf\u5747\u529b\u654c\u53ef\u79f0\u4f5c\u5e73\u5c40\uff0c\u4e0d\u8fc7\u81f3\u5c11\u6709\u4e00\u4e2a\u73a9\u5bb6\u5bf9\u6b64\u6301\u6709\u5f02\u8bae\u3002<\/p>\n<p>Sandholm\u4e0eBrown\u79f0\uff0c\u81ea\u90a3\u6b21\u6bd4\u8d5b\u540e\uff0c\u4ed6\u4eec\u7684AI\u5728\u8bf8\u591a\u5e38\u89c4\u7ef4\u5ea6\u5b58\u5728\u6539\u5584\u3002Claudico\u4e8e\u6bd4\u8d5b\u524d\u671f\u5448\u73b0\u826f\u597d\u6001\u52bf\uff0c\u7136\u800c\u4e34\u8fd1\u7ed3\u675f\u4e4b\u9645\u5e38\u51fa\u73b0\u5931\u8bef\u3002\u5b83\u4e8e\u6709\u8bef\u7684\u65f6\u523b\u8fdb\u884c\u865a\u5f20\u58f0\u52bf\u4e4b\u4e3e\uff0c\u800c\u4e14\u5728\u4f9d\u636e\u684c\u4e0a\u6240\u6253\u51fa\u7684\u724c\u6765\u8ba1\u7b97\u724c\u5c40\u4e4b\u9645\u603b\u4f1a\u906d\u9047\u56f0\u6270\u3002\u4ee5\u6700\u4e3a\u7b80\u5355\u7684\u60c5\u5f62\u6765\u8bb2\uff0c\u8981\u662f\u724c\u684c\u4e0a\u6709\u4e24\u5f20\u738b\uff0c\u5e76\u4e14\u4f60\u624b\u4e2d\u540c\u6837\u6301\u6709\u4e24\u5f20\u738b\uff0c\u5982\u6b64\u4fbf\u80fd\u63a8\u65ad\u51fa\u4f60\u7684\u5bf9\u624b\u624b\u4e2d\u5e76\u672a\u6301\u6709\u738b\u5361\u3002Libratus\u5728\u8fd9\u4e9b\u5168\u90e8\u65b9\u9762\u5747\u6709\u6539\u8fdb\uff0c\u5176\u521b\u9020\u8005\u4e8e\u5176\u4ed6\u65b9\u9762\u4f9d\u65e7\u79c9\u6301\u7740\u8c26\u865a\u7684\u6001\u5ea6\uff0c\u7279\u522b\u662f\u5728\u4f9d\u636e\u4e00\u65e5\u6bd4\u8d5b\u8fdb\u7a0b\u4e2d\u6240\u8fdb\u884c\u7684\u5b66\u4e60\u8fdb\u800c\u5c55\u5f00\u8c03\u6574\u8fd9\u4e00\u65b9\u9762\u3002<\/p>\n<p>Libratus \u7684\u6574\u4f53\u7684\u6240\u6709\u7684\u7ec6\u5fae\u7684\u5177\u4f53\u7684\u60c5\u8282\u72b6\u51b5\u6700\u540e\u7ec8\u5c06\u5728\u90a3\u5176\u7684\u7f14\u9020\u5851\u9020\u8005\u516c\u5e03\u5ba3\u5e03\u6210\u679c\u6210\u6548\u7684\u65f6\u5019\u9010\u4e2a\u4f9d\u6b21\u5f97\u4ee5\u663e\u73b0\u63ed\u793a\u51fa\u6765\u3002\u6b64\u7b49\u8fd9\u822c\u7684\u5b66\u672f\u65b9\u9762\u7684\u7814\u7a76\u94bb\u7814\u6240\u6210\u5c31\u83b7\u5f97\u7684\u6210\u679c\u7ed3\u679c\u5e38\u5e38\u901a\u5e38\u5f80\u5f80\u7ecf\u7531\u4ee5\u5404\u79cd\u5404\u6837\u7684\u65b9\u5f0f\u65b9\u6cd5\u6e17\u900f\u878d\u5165\u5230\u5b9e\u9645\u73b0\u5b9e\u7684\u4e16\u754c\u5929\u5730\u5f53\u4e2d\u7684\u6251\u514b\u4e00\u7c7b\u7684\u6bd4\u8d5b\u7ade\u8d5b\u4e4b\u4e2d\u3002\u4f9d\u636e\u6309\u7167\u5e03\u6717\u6240\u8bb2\u6240\u8bf4\uff0c\u5e74\u5ea6\u7684\u4e00\u5e74\u4e00\u6b21\u7684\u7535\u8111\u8ba1\u7b97\u673a\u65b9\u9762\u7684\u6251\u514b\u4e00\u7c7b\u7684\u6bd4\u8d5b\u7ade\u8d5b\u5176\u4e2d\u4e5f\u6db5\u76d6\u5305\u542b\u4e86\u8fdb\u5165\u5230\u73b0\u91d1\u91d1\u94b1\u6e38\u620f\u7ade\u9010\u8d5b\u573a\u7684\u53c2\u8d5b\u4eba\u58eb\u53c2\u52a0\u8005\u3002Bowling 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