Existence and stability of weakly Pareto-Nash equilibria for discontinuous multiobjective games

被引：3
|
作者：
Mou, Yushuang [1 ,2 ]
Jia, Wensheng [1 ,2 ]
机构：
[1] Guizhou Univ, Coll Math & Stat, Guiyang, Peoples R China
[2] Guizhou Prov Key Lab Game Decis & Control Syst, Guiyang, Peoples R China
来源：
APPLICABLE ANALYSIS | 2023年 / 102卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Discontinuous multiobjective games; weakly Pareto-Nash equilibrium; generic stability;
D O I：
10.1080/00036811.2022.2147066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce two new concepts of the vector-valued generalized single deviation property and the vector-valued positive generalized single deviation property for discontinuous multiobjective games. Then, some new existence theorems of weakly Pareto-Nash equilibria for discontinuous multiobjective games are established. Moreover, we prove that most of the discontinuous multiobjective games are essential with perturbed payoffs in the sense of Baire category.
引用
收藏
页码：4899 / 4908
页数：10
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