不确定下广义博弈强Berge均衡的存在性  

Existence of Strong Berge Equilibrium for Generalized Non-cooperative Games under Uncertainty

作　　者：邓喜才[1,2] 向淑文[1] 

机构地区：[1]贵州大学数学系,贵阳550025 [2]贵州师范学院数学系,贵阳550018

出　　处：《应用数学学报》2015年第2期200-211,共12页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11161008);教育部博士点基金(20115201110002)资助项目;贵州省科学技术基金([2013]2235)资助项目

摘　　要：本文基于不确定下的非合作博弈NS均衡给出了不确定下广义非合作博弈强Berge均衡与广义多目标弱Pareto强Berge均衡的定义,利用Fan-Glicksberg不动点定理证明了不确定下广义非合作博弈强Berge均衡与不确定下广义多目标弱Pareto强Berge均衡存在性定理.In this paper, on the basis of NS-equilibrium for non-cooperative games un- der uncertainty, the notions of strong Berge equilibrium for generalized non-cooperative games under uncertainty and weakly Pareto-strong Berge equilibrium for generalized non- cooperative multi-objective games under uncertainty are defined, and the existence theorem of generalized non-cooperative games under uncertainty and weakly Pareto-strong Berge generalized non-cooperative multi-objective games under uncertainty are also provided by using Fan-Glicksberg fixed point theorem.

关 键 词：非合作博弈 强Berge均衡 不动点 不确定性 

分 类 号：O177.91[理学—数学]