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.