Nash平衡点指数与拟本质性  

Nash Equilibrium Point Index and Quasi-essential Properties

作　　者：何基好[1] 向淑文[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2009年第3期1-3,共3页Journal of Guizhou University:Natural Sciences

基　　金：贵州省自然科学基金资助项目(黔科合J字[2008]2048号)

摘　　要：在集值映射在闭集上的不动点指数概念的基础上给出n-人非合作一般对策的Nash平衡点指数的概念。然后,从Nash平衡点指数出发,研究Nash平衡点的拟本质性并给出了Nash平衡点集的拟本质集和拟本质连通区的若干充分条件。The notion of Nash equilibrium point index of infinite n-person non-cooperative games was given on the basis of the concept of the fixed point index of set-valued mappings on closed set. Then, on basis of this definition, quasi-essential properties of Nash equilibrium point were studied and some sufficient conditions about quasi-essential sets and quasi-essential components of the set of Nash equilibrium were given.

关 键 词：集值映射 不动点指数 Nash平衡点指数 拟本质集 拟本质连通区 

分 类 号：O177.91[理学—数学]