多目标群体博弈中弱Pareto完美平衡点  

Existence of Weakly Pareto Perfect Equilibria for Multi-objective Population Games

作　　者：陈莎[1] 杨辉[1] 杨光惠[1] 

机构地区：[1]贵州大学理学院,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2016年第2期10-13,共4页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金项目资助(11271098)

摘　　要：基于有限理性下多目标群体博弈平衡点的精炼,提出弱Pareto完美平衡点的概念。首先,应用向量值Ky Fan不等式证明一般情形下多目标群体博弈中的弱Pareto-Nash平衡点的存在性。其次,给出弱Pareto完美平衡点的存在性。Based on the refinement of equilibria under bounded rationality, the concept of weakly Pareto perfect equilibria for muhiobjective population games was proposed. Firstly, the existence of weakly Pareto-Nash equilibria was proven by the application of ＇ vector- valued Ky Fan inequality＇. Moreover, the existence theorem for weakly Pareto perfect equilibria was established.

关 键 词：多目标群体博弈 KY Fan不等式 弱Pareto-Nash平衡点 弱Pareto完美平衡点 

分 类 号：O225[理学—运筹学与控制论]