{"id":1219,"date":"2026-04-07T20:43:06","date_gmt":"2026-04-07T12:43:06","guid":{"rendered":"https:\/\/www.ndnlab.com\/?p=1219"},"modified":"2026-04-07T20:43:08","modified_gmt":"2026-04-07T12:43:08","slug":"detecting-influence-structures-in-multi-agent-reinforcement-learning","status":"publish","type":"post","link":"https:\/\/www.ndnlab.com\/?p=1219","title":{"rendered":"Detecting Influence Structures in Multi-Agent Reinforcement Learning"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u2460 \u7814\u7a76\u80cc\u666f\uff1a\u4ece\u201c\u7b56\u7565\u5b66\u4e60\u201d\u8d70\u5411\u201c\u5f71\u54cd\u5efa\u6a21\u201d<\/h2>\n\n\n\n<p>\u5728\u591a\u667a\u80fd\u4f53\u5f3a\u5316\u5b66\u4e60\uff08MARL\uff09\u4e2d\uff0c\u4e00\u4e2a\u51e0\u4e4e\u6240\u6709\u5de5\u4f5c\u90fd\u9ed8\u8ba4\u4f46\u5f88\u5c11\u88ab\u771f\u6b63\u523b\u753b\u7684\u95ee\u9898\u662f\uff1a<strong>\u667a\u80fd\u4f53\u4e4b\u95f4\u5230\u5e95\u662f\u5982\u4f55\u76f8\u4e92\u5f71\u54cd\u7684\uff1f<\/strong>\u8bba\u6587\u5f00\u7bc7\u5c31\u660e\u786e\u6307\u51fa\uff1a\u201c\u7406\u89e3\u667a\u80fd\u4f53\u4e4b\u95f4\u7684\u76f8\u4e92\u5f71\u54cd\u5bf9\u4e8e\u6709\u6548\u5b66\u4e60\u7b56\u7565\u81f3\u5173\u91cd\u8981\u201d\u5728MARL\u7cfb\u7edf\u4e2d\uff0c\u6240\u6709\u667a\u80fd\u4f53\u90fd\u5904\u5728\u4e00\u4e2a\u5171\u4eab\u73af\u5883\u4e2d\uff0c\u6bcf\u4e2a\u667a\u80fd\u4f53\u7684\u52a8\u4f5c\u4e0d\u4ec5\u6539\u53d8\u73af\u5883\u72b6\u6001\uff0c\u8fd8\u4f1a\u5f71\u54cd\u5176\u4ed6\u667a\u80fd\u4f53\u83b7\u5f97\u7684\u56de\u62a5\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u7cfb\u7edf\u672c\u8d28\u4e0a\u662f\u4e00\u4e2a<strong>\u9ad8\u5ea6\u8026\u5408\u7684\u52a8\u6001\u7cfb\u7edf<\/strong>\u3002\u4f46\u73b0\u6709\u65b9\u6cd5\u5f80\u5f80\u53ea\u662f\u9ed8\u8ba4\u8fd9\u79cd\u8026\u5408\u5b58\u5728\uff0c\u5374\u6ca1\u6709\u53bb\u5efa\u6a21\u5b83\u3002\u8fdb\u4e00\u6b65\u5730\uff0c\u4f5c\u8005\u5f3a\u8c03\u73b0\u6709\u7814\u7a76\u7f3a\u4e4f\u4e00\u4e2a\u7edf\u4e00\u89c6\u89d2\uff1a\u201c\u76ee\u524d\u5c1a\u4e0d\u5b58\u5728\u4e00\u79cd\u7edf\u4e00\u7684\u65b9\u6cd5\u6765\u8868\u8fbe\u667a\u80fd\u4f53\u4e4b\u95f4\u7684\u76f8\u4e92\u4f9d\u8d56\u5173\u7cfb\u201d\u5c24\u5176\u662f\u5728\u5e73\u5747\u56de\u62a5\uff08average reward\uff09\u8fd9\u4e00\u66f4\u8d34\u8fd1\u771f\u5b9e\u7cfb\u7edf\u7684\u8bbe\u5b9a\u4e0b\uff0c\u8fd9\u7c7b\u7814\u7a76\u51e0\u4e4e\u662f\u7a7a\u767d\u3002\u800c\u73b0\u5b9e\u4e2d\u7684\u5f88\u591a\u5e94\u7528\u2014\u2014\u5982\u80fd\u6e90\u7f51\u7edc\u3001\u8f66\u961f\u63a7\u5236\u3001\u91cd\u590d\u535a\u5f08\u2014\u2014\u672c\u8d28\u4e0a\u90fd\u4f9d\u8d56\u957f\u671f\u7a33\u5b9a\u7684\u4ea4\u4e92\u5173\u7cfb\u3002\u56e0\u6b64\uff0c\u8fd9\u7bc7\u8bba\u6587\u7684\u51fa\u53d1\u70b9\u975e\u5e38\u660e\u786e\uff1a<strong>\u4e0d\u662f\u518d\u505a\u4e00\u4e2a\u66f4\u5f3a\u7684\u7b56\u7565\u6a21\u578b\uff0c\u800c\u662f\u5efa\u7acb\u4e00\u5957\u201c\u5f71\u54cd\u7ed3\u6784\u201d\u7684\u7edf\u4e00\u523b\u753b\u6846\u67b6\u3002<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u2461 \u4f20\u7edf\u65b9\u6cd5\u7684\u5f0a\u7aef\uff1a\u6709\u4ea4\u4e92\uff0c\u4f46\u6ca1\u6709\u201c\u7ed3\u6784\u201d<\/h2>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u73b0\u6709MARL\u65b9\u6cd5\u786e\u5b9e\u5728\u4e0d\u540c\u89d2\u5ea6\u6d89\u53ca\u201c\u5f71\u54cd\u201d\uff0c\u4f46\u95ee\u9898\u5728\u4e8e\u2014\u2014\u5b83\u4eec\u6ca1\u6709\u771f\u6b63\u523b\u753b\u201c\u5f71\u54cd\u7ed3\u6784\u201d\u3002\u8bba\u6587\u5c06\u5df2\u6709\u65b9\u6cd5\u5927\u81f4\u5206\u4e3a\u4e09\u7c7b\uff0c\u5e76\u9010\u4e00\u6307\u51fa\u95ee\u9898\uff1a\u9996\u5148\uff0c\u4e00\u7c7b\u65b9\u6cd5\u5173\u6ce8<strong>\u4f18\u5316\u7cfb\u7edf\u76ee\u6807<\/strong>\uff08\u5982\u534f\u4f5c\u3001\u63a2\u7d22\u3001\u901a\u4fe1\uff09\uff1a\u201c\u8fd9\u4e9b\u65b9\u6cd5\u5173\u6ce8\u7684\u662f\u5bf9\u7cfb\u7edf\u76ee\u6807\u7684\u5f71\u54cd\uff0c\u800c\u4e0d\u662f\u5f71\u54cd\u672c\u8eab\u7684\u7406\u8bba\u8868\u8fbe\u201d\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u4eec\u53ea\u662f\u201c\u5229\u7528\u5f71\u54cd\u201d\uff0c\u4f46\u6ca1\u6709\u56de\u7b54\u201c\u5f71\u54cd\u662f\u4ec0\u4e48\u201d\u3002\u5176\u6b21\uff0c\u4e00\u4e9b\u65b9\u6cd5\u91c7\u7528\u7ed3\u6784\u5316\u5efa\u6a21\uff0c\u6bd4\u5982 coordination graph\uff1a\u201c\u5c06\u5f71\u54cd\u7b80\u5316\u4e3a\u4e8c\u503c\u5173\u7cfb\uff0c\u53ea\u8868\u793a\u662f\u5426\u76f8\u5173\u201d\u8fd9\u79cd\u65b9\u5f0f\u867d\u7136\u8ba1\u7b97\u9ad8\u6548\uff0c\u4f46\u8fc7\u4e8e\u7c97\u7cd9\u2014\u2014\u73b0\u5b9e\u4e2d\u5f71\u54cd\u662f\u8fde\u7eed\u7684\u3001\u6709\u5f3a\u5f31\u5dee\u5f02\u7684\uff0c\u800c\u4e0d\u662f0\/1\u3002\u7b2c\u4e09\u7c7b\u65b9\u6cd5\u5c1d\u8bd5\u7528\u6807\u91cf\u91cf\u5316\u5f71\u54cd\uff0c\u4f8b\u5982 Value of Interaction\uff1a\u201c\u8fd9\u4e9b\u65b9\u6cd5\u901a\u5e38\u4f9d\u8d56\u4e8e\u72b6\u6001\u8f6c\u79fb\u6982\u7387\u6216\u53cd\u4e8b\u5b9e\u52a8\u4f5c\u7b49\u96be\u4ee5\u83b7\u53d6\u7684\u6570\u636e\u201d\u4e0d\u4ec5\u5982\u6b64\uff0c\u8fd9\u7c7b\u65b9\u6cd5\u901a\u5e38\u7f3a\u4e4f\u4e25\u683c\u7684\u7406\u8bba\u4fdd\u8bc1\uff0c\u6bd4\u5982\u8bef\u5dee\u754c\u6216\u6536\u655b\u6027\u5206\u6790\u3002\u603b\u7ed3\u4e0b\u6765\u5c31\u662f\u4e00\u53e5\u8bdd\uff1a<strong>\u73b0\u6709\u65b9\u6cd5\u8981\u4e48\u4e0d\u89e3\u91ca\u5f71\u54cd\uff0c\u8981\u4e48\u89e3\u91ca\u5f97\u4e0d\u591f\u7cbe\u7ec6\uff0c\u8981\u4e48\u65e0\u6cd5\u843d\u5730\u3002<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u2462 \u6838\u5fc3\u65b9\u6cd5\uff1a\u4ece\u201c\u5f71\u54cd\u201d\u5230\u201c\u5f71\u54cd\u7ed3\u6784\u201d<\/h2>\n\n\n\n<p>\u8fd9\u7bc7\u8bba\u6587\u771f\u6b63\u7684\u8d21\u732e\uff0c\u5728\u4e8e\u63d0\u51fa\u4e86\u4e00\u4e2a\u7edf\u4e00\u6846\u67b6\u6765\u63cf\u8ff0\u5f71\u54cd\u3002<\/p>\n\n\n\n<p>\uff081\uff09Influence Measurement Function<\/p>\n\n\n\n<p>\u4f5c\u8005\u9996\u5148\u63d0\u51fa\u201c\u5f71\u54cd\u6d4b\u5ea6\u51fd\u6570\u201d\uff0c\u7528\u4e8e\u63cf\u8ff0\u5f53\u667a\u80fd\u4f53 i \u7684\u52a8\u4f5c\u6539\u53d8\u65f6\uff0c\u662f\u5426\u4f1a\u5f71\u54cd\u667a\u80fd\u4f53 j \u7684\u72b6\u6001-\u52a8\u4f5c\u51fd\u6570\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u667a\u80fd\u4f53\u7684\u884c\u4e3a\u53d8\u5316\uff0c\u4f1a\u5bfc\u81f4\u53e6\u4e00\u4e2a\u667a\u80fd\u4f53\u7684\u957f\u671f\u56de\u62a5\u53d1\u751f\u53d8\u5316\uff0c\u90a3\u4e48\u5c31\u8ba4\u4e3a\u5b58\u5728\u5f71\u54cd\u5173\u7cfb\u3002\u66f4\u91cd\u8981\u7684\u662f\uff0c\u8fd9\u79cd\u5b9a\u4e49\u4e0d\u4ec5\u9002\u7528\u4e8e\u6298\u6263\u56de\u62a5\uff0c\u8fd8\u9002\u7528\u4e8e\u5e73\u5747\u56de\u62a5\uff0c\u5177\u6709\u5f88\u5f3a\u7684\u666e\u9002\u6027\u3002<\/p>\n\n\n\n<p>\uff082\uff09Impact Sample\uff1a\u5f71\u54cd\u7684\u6700\u5c0f\u5355\u4f4d<\/p>\n\n\n\n<p>\u63a5\u7740\uff0c\u8bba\u6587\u63d0\u51fa\u4e00\u4e2a\u975e\u5e38\u5173\u952e\u7684\u91cf\uff1a\u201cimpact sample \u8868\u793a\u5728\u7ed9\u5b9a\u72b6\u6001\u548c\u52a8\u4f5c\u4e0b\uff0c\u4e00\u4e2a\u667a\u80fd\u4f53\u5bf9\u53e6\u4e00\u4e2a\u667a\u80fd\u4f53\u671f\u671b\u56de\u62a5\u7684\u6700\u5927\u5f71\u54cd\u201d\u76f4\u89c2\u7406\u89e3\u5c31\u662f\uff1a\u56fa\u5b9a\u5176\u4ed6\u667a\u80fd\u4f53\u884c\u4e3a\uff0c\u53ea\u6539\u53d8\u67d0\u4e2a\u667a\u80fd\u4f53\u7684\u52a8\u4f5c\uff0c\u770b\u53e6\u4e00\u4e2a\u667a\u80fd\u4f53\u6536\u76ca\u80fd\u53d8\u5316\u591a\u5c11\uff08\u6700\u5927\u5dee\u503c\uff09\u3002\u8fd9\u4e00\u6b65\u975e\u5e38\u5173\u952e\uff0c\u56e0\u4e3a\u5b83\u628a\u201c\u5f71\u54cd\u201d\u4ece\u62bd\u8c61\u6982\u5ff5\u53d8\u6210\u4e86\u4e00\u4e2a\u53ef\u8ba1\u7b97\u7684\u91cf\u3002<\/p>\n\n\n\n<p>\uff083\uff09TIM\uff1a\u5168\u5c40\u5f71\u54cd\u7ed3\u6784.\u5728impact sample\u57fa\u7840\u4e0a\uff0c\u8bba\u6587\u8fdb\u4e00\u6b65\u5b9a\u4e49\uff1a\u201c\u603b\u5f71\u54cd\u6d4b\u5ea6\uff08TIM\uff09\u662f\u5bf9\u6240\u6709\u72b6\u6001\u548c\u52a8\u4f5c\u4e0b\u5f71\u54cd\u7684\u5e73\u5747\u201d\u4e5f\u5c31\u662f\u8bf4\uff0cTIM(i\u2192j) \u8868\u793a\u201c\u667a\u80fd\u4f53 i \u5728\u6574\u4f53\u4e0a\u5bf9\u667a\u80fd\u4f53 j \u7684\u957f\u671f\u56de\u62a5\u80fd\u4ea7\u751f\u591a\u5927\u5f71\u54cd\u201d\u5e76\u4e14\u4f5c\u8005\u8bc1\u660e\u201cTIM\u4e3a0\uff0c\u5f53\u4e14\u4ec5\u5f53\u4e00\u4e2a\u667a\u80fd\u4f53\u5bf9\u53e6\u4e00\u4e2a\u5b8c\u5168\u6ca1\u6709\u5f71\u54cd\u201d\u8fd9\u610f\u5473\u7740 TIM \u672c\u8d28\u4e0a\u6784\u6210\u4e86\u4e00\u4e2a\u5168\u5c40\u5f71\u54cd\u56fe\uff08Influence Graph\uff09\u3002<\/p>\n<\/blockquote>\n\n\n\n<p>\uff084\uff09SIM\uff1a\u72b6\u6001\u4f9d\u8d56\u5f71\u54cd\u3002\u4f46\u4f5c\u8005\u8fdb\u4e00\u6b65\u6307\u51fa\u4e00\u4e2a\u95ee\u9898\uff1a\u201c\u5728\u67d0\u4e9b\u7279\u5b9a\u72b6\u6001\u4e0b\uff0c\u5f71\u54cd\u53ef\u80fd\u5f88\u5f3a\uff0c\u4f46\u5e73\u5747\u540e\u88ab\u63a9\u76d6\u201d\u56e0\u6b64\u63d0\u51fa\u201c\u72b6\u6001\u5f71\u54cd\u6d4b\u5ea6\uff08SIM\uff09\u7528\u4e8e\u523b\u753b\u7279\u5b9a\u72b6\u6001\u4e0b\u7684\u5f71\u54cd\u7ed3\u6784\u201d\u8fd9\u5c31\u4ece\u201c\u5168\u5c40\u7ed3\u6784\u201d\u8fdb\u4e00\u6b65\u7ec6\u5316\u4e3a\u201c\u5c40\u90e8\u7ed3\u6784\u201d\u3002<\/p>\n\n\n\n<p>\uff085\uff09\u7b97\u6cd5\u4e0e\u7406\u8bba\u4fdd\u8bc1\uff1a\u66f4\u96be\u5f97\u7684\u662f\uff0c\u8fd9\u7bc7\u8bba\u6587\u4e0d\u4ec5\u63d0\u51fa\u6307\u6807\uff0c\u8fd8\u7ed9\u51fa\u7b97\u6cd5\uff0c\u5e76\u4e14\uff1a\u201c\u63d0\u4f9b\u8bef\u5dee\u754c\u3001\u7a33\u5b9a\u6027\u5206\u6790\u4ee5\u53ca\u6536\u655b\u6027\u4fdd\u8bc1\u201d\u3002\u540c\u65f6\u7b97\u6cd5\u5177\u5907\u4e00\u4e2a\u5f88\u91cd\u8981\u7684\u6027\u8d28\uff1a\u201c\u53ea\u9700\u8981\u89c2\u6d4b\u5176\u4ed6\u667a\u80fd\u4f53\u7684\u52a8\u4f5c\uff0c\u4e14\u662f\u5b8c\u5168\u53bb\u4e2d\u5fc3\u5316\u7684\u201d\u8fd9\u4e00\u70b9\u5bf9\u4e8e\u771f\u5b9e\u7cfb\u7edf\uff08\u6bd4\u5982\u8de8\u57df\u7f51\u7edc\uff09\u6781\u5176\u91cd\u8981\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"321\" src=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2026\/04\/image-2-1024x321.png\"  class=\"wp-image-1221\" srcset=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2026\/04\/image-2-1024x321.png 1024w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2026\/04\/image-2-300x94.png 300w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2026\/04\/image-2-768x241.png 768w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2026\/04\/image-2.png 1462w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" title=\"Detecting Influence Structures in Multi-Agent Reinforcement Learning\u63d2\u56fe\" alt=\"Detecting Influence Structures in Multi-Agent Reinforcement Learning\u63d2\u56fe\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u2463 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