Fuzzy Kakutani-Fan-Glicksberg fixed point theorem and existence of Nash equilibria for fuzzy games

被引：6
|
作者：
Liu, Jiuqiang [1 ,2 ]
Yu, Guihai [1 ]
机构：
[1] Guizhou Univ Finance & Econ, Coll Big Data Stat, Guiyang 550025, Guizhou, Peoples R China
[2] Eastern Michigan Univ, Dept Math, Ypsilanti, MI 48197 USA
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 447卷
基金：
中国国家自然科学基金;
关键词：
Brouwer fixed point theorem; Kakutani-Fan-Glicksberg fixed point theorem; Generalized fuzzy games; Nash equilibrium; MAPPINGS;
D O I：
10.1016/j.fss.2022.02.002
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we give fuzzy generalizations to the well-known Brouwer fixed point theorem and Kakutani-Fan-Glicksberg fixed point theorem. As applications, we apply the fuzzy Kakutani-Fan-Glicksberg fixed point theorem to derive an existence theorem for Nash equilibria in generalized fuzzy games with locally convex Hausdorff topological vector spaces for strategy spaces and/or discontinuous payoff functions which generalizes existence theorems for Nash equilibria in generalized games.(c) 2022 Elsevier B.V. All rights reserved.
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页码：100 / 112
页数：13
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