群体博弈理论的新进展  

New advances in population game theory

作　　者：杨辉 YANG Hui(School of Mathematics and Statistics,Guizhou Uni-versity,Guiyang 550025,Guizhou,China;Guizhou Provincial Key Laboratory for Games,Decision Making and Control Systems,Guiyang 550025,Guizhou,China)

机构地区：[1]贵州大学数学与统计学院,贵州贵阳550025 [2]贵州省博弈决策与控制系统重点实验室,贵州贵阳550025

出　　处：《运筹学学报（中英文）》2024年第3期27-45,共19页Operations Research Transactions

基　　金：国家自然科学基金(No.11271098)。

摘　　要：群体博弈理论是近三十年来发展起来的博弈论的新方向,源于1950年J.Nash在其博士学位论文中关于有限非合作博弈混合策略和平衡点的“Mass-Action”解释,建立了由众多个体组成的群体及社会中,个体的理性决策行为理论,在社会学、生物学、经济学、管理学、信息科学等领域有广泛和深入的应用。本文介绍近年来群体博弈理论的研究成果及新进展,探讨群体博弈理论的发展动向。Population game theory is a new direction of game theory,developed in recent thirty years,which originated from"Mass-Action"interpretation on mixed strategies and equilibria in 1950 by J.Nash in his PhD dissertation.It established rational decision making theory for individuals in population and society consisting of large number of individuals,and has been applied extensively and intensively in sociology,biology,economics,management science and information science,etc.In this paper,we give a review on recent advances of population game theory and investigate new developing directions.

关 键 词：群体博弈 NASH平衡 合作平衡 多目标群体博弈 Pareto-Nash平衡 

分 类 号：O225[理学—运筹学与控制论]