VARIATIONAL INEQUALITIES, KY FAN MINIMAX INEQUALITY, AND STRONG NASH EQUILIBRIA IN GENERALIZED GAMES

被引：0

作者：

Liu, Jiuqiang ^{[1
,2
]}

机构：

[1] Guizhou Univ Finance & Econ, Coll Big Data Stat, Guiyang 550025, Peoples R China

[2] Eastern Michigan Univ, Dept Math, Ypsilanti, MI 48197 USA

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2024年 / 8卷 / 02期

关键词：

Generalized games; Ky Fan minimax inequality; Nash equilibrium; Quasi-variational in- equalities; EXISTENCE;

D O I：

10.23952/jnva.8.2024.2.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide necessary and sufficient conditions for the existence of solutions for variational inequalities and sufficient conditions for the existence of solutions for quasi-Ky Fan minimax inequality, quasi -variational inequalities, and generalized variational inequalities. As applications, we apply these results to derive existence results for strong Nash equilibria in generalized games which generalize some existence theorems for Nash equilibria in generalized games in the literature and the existence theorem for strong Nash equilibria in normal -form games by Nessah and Tian [J. Math. Anal. Appl. 414 (2014), 871-885]. We also provide sufficient conditions for the uniqueness of strong Nash equilibria in certain generalized games.

引用

页码：249 / 264

页数：16

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