基于有限理性的信息集广义多目标博弈  

Information set generalized multi-objective games based on bounded rationality

作　　者：何基好 向淑文 贾文生 邓喜才[3] 

机构地区：[1]贵州大学计算机科学与技术学院,贵州贵阳550025 [2]贵州大学数学与统计学院,贵州贵阳550025 [3]贵州师范学院数学与计算机系,贵州贵阳550018

出　　处：《深圳大学学报（理工版）》2018年第1期105-109,共5页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目(11561013;11761023);教育部博士点基金资助项目(20115201110002)~~

摘　　要：研究基于有限理性的信息集广义多目标博弈的弱Pareto-Nash平衡问题的稳定性.在信息集广义多目标博弈的弱Pareto-Nash平衡问题的度量空间是完备度量空间的结论下,运用博弈论语言描述的有限理性模型建立此问题的有限理性模型,通过验证一些假设得到,弱Pareto-Nash平衡问题是结构稳定的,对ε-平衡是鲁棒的.On the base of the bounded rationality,we investigate the stability of the problem of the weak Pareto-Nash equilibrium for information set generalized multi-objective games. Based on the conclusion that the metric space of the problem of information set generalized multi-objective games are complete,the bounded rationality model is established according to the bounded rationality model described by the game theory language,and the result shows that the problem of the weak Pareto-Nash equilibrium is structurally stable and robust to ε-equilibrium by identifying some assumptions.

关 键 词：运筹学 博弈论 信息集广义多目标博弈 弱Pareto-Nash平衡点 有限理性 稳定性 

分 类 号：O177.9[理学—数学]