The Fan minimax inequality implies the Nash equilibrium theorem

被引：9
作者：
Park, Sehie [1 ,2 ]
机构：
[1] ROK, Natl Acad Sci, Seoul 137044, South Korea
[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 12期
关键词：
Abstract convex space; KKM principle; Fan's minimax inequality; Nash equilibrium; EXISTENCE;
D O I：
10.1016/j.aml.2011.06.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that in an abstract convex space (E, D; Gamma), the partial KKM principle implies the Ky Fan minimax inequality, from which we deduce a generalization of the Nash equilibrium theorem. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2206 / 2210
页数：5
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