多目标博弈Nash平衡点的存在性  

Existence result of Nash equilibrium points for multi-objective game

作　　者：李金泽[1] 汪训孝[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《西南民族大学学报（自然科学版）》2010年第4期547-550,共4页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：本文研究多目标博弈问题.在定义向量值形式极大值定理基础上,通过Fan-Glicksberg不动点定理,建立了多目标博弈平衡点的存在性.此方法以往主要用于建立单目标博弈平衡点的存在性,本文的结果说明在一定的构造下此方法同样可用于多目标博弈平衡点的存在性.本文的结果是新的,不能被其他结果所包含.In this paper, multi-objective games are considered. We firstly show the theorem of maximum value, then the existence result of Nash equilibrium points for multi-objective games is established by Fan-Glicksberg＇s fixed points theorem. we show that the method proving the existence of multi-objective games＇ equilibrium points in this paper is extended to multi-objective games, and the obtained result is new.

关 键 词：多目标博弈 Pareto.Nash平衡点 C凸 C拟凸 存在性 

分 类 号：O177.91[理学—数学]