The existence of nash equilibrium in n-person games with C-concavity

被引：19

作者：

Kim, WK ^{[1
]}

Lee, KH

机构：

[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, South Korea

[2] Korea Univ Technol & Educ, Div Liberal Arts, Chunan 330708, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 8-9期

关键词：

nash equilibrium; C-concave; minimax; fixed-point space;

D O I：

10.1016/S0898-1221(02)00228-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce the C-concavity condition, and next prove a new existence theorem of Nash equilibrium in n-person games with C-concavity. And, as an application, we shall prove a minimax theorem. Finally, we shall give some examples of a two-person game where the C-concavity can be applied, but the previous general concavity conditions cannot be applied. Our results generalize the corresponding results due to Nash and Forgo in several ways. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1219 / 1228

页数：10

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