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.
出处
《应用数学学报》
CSCD
北大核心
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
作者简介
（E-mail：iamdengxicai@163．com）
（E—mail：shwxiang@vip．163．com）
