{"title":"进化博弈论中的强化学习:近期发展的简要回顾","authors":"Kai Xie , Attila Szolnoki","doi":"10.1016/j.amc.2025.129685","DOIUrl":null,"url":null,"abstract":"<div><div>With the rapid progress of artificial intelligence, the integration of evolutionary game theory and reinforcement learning has become a hot research frontier in the last years. Evolutionary game theory provides a mathematical framework for depicting the strategy interaction among individuals, traditionally based on pre-defined, rule-based strategy update protocols. In contrast, reinforcement learning enables agents to adaptively select optimal actions through trial-and-error learning, hence better reflecting real-world decision-making. These complementary features create the foundation for their convergence. Our paper presents a didactic review of contemporary reinforcement learning applications in evolutionary game theory, focusing on those recently published works which open novel research paths to enrich our understanding of mutualistic cooperation. We summarize major concepts and terms, including the basic problem of collective cooperation, modeling of complex population dynamics, influence of algorithmic parameters, and the combination of deep learning. Finally, we discuss prospects for this interdisciplinary field, emphasizing the importance of intelligent learning through the lens of evolutionary game.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"510 ","pages":"Article 129685"},"PeriodicalIF":3.4000,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Reinforcement learning in evolutionary game theory: A brief review of recent developments\",\"authors\":\"Kai Xie , Attila Szolnoki\",\"doi\":\"10.1016/j.amc.2025.129685\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>With the rapid progress of artificial intelligence, the integration of evolutionary game theory and reinforcement learning has become a hot research frontier in the last years. Evolutionary game theory provides a mathematical framework for depicting the strategy interaction among individuals, traditionally based on pre-defined, rule-based strategy update protocols. In contrast, reinforcement learning enables agents to adaptively select optimal actions through trial-and-error learning, hence better reflecting real-world decision-making. These complementary features create the foundation for their convergence. Our paper presents a didactic review of contemporary reinforcement learning applications in evolutionary game theory, focusing on those recently published works which open novel research paths to enrich our understanding of mutualistic cooperation. We summarize major concepts and terms, including the basic problem of collective cooperation, modeling of complex population dynamics, influence of algorithmic parameters, and the combination of deep learning. Finally, we discuss prospects for this interdisciplinary field, emphasizing the importance of intelligent learning through the lens of evolutionary game.</div></div>\",\"PeriodicalId\":55496,\"journal\":{\"name\":\"Applied Mathematics and Computation\",\"volume\":\"510 \",\"pages\":\"Article 129685\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2025-08-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0096300325004114\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325004114","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Reinforcement learning in evolutionary game theory: A brief review of recent developments
With the rapid progress of artificial intelligence, the integration of evolutionary game theory and reinforcement learning has become a hot research frontier in the last years. Evolutionary game theory provides a mathematical framework for depicting the strategy interaction among individuals, traditionally based on pre-defined, rule-based strategy update protocols. In contrast, reinforcement learning enables agents to adaptively select optimal actions through trial-and-error learning, hence better reflecting real-world decision-making. These complementary features create the foundation for their convergence. Our paper presents a didactic review of contemporary reinforcement learning applications in evolutionary game theory, focusing on those recently published works which open novel research paths to enrich our understanding of mutualistic cooperation. We summarize major concepts and terms, including the basic problem of collective cooperation, modeling of complex population dynamics, influence of algorithmic parameters, and the combination of deep learning. Finally, we discuss prospects for this interdisciplinary field, emphasizing the importance of intelligent learning through the lens of evolutionary game.
期刊介绍:
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.