Approximate fixed point theorems in Banach spaces with applications in game theory

被引:9
作者
Brânzei, R
Morgan, J
Scalzo, V
Tijs, S
机构
[1] Univ Naples Federico II, Dipartimento Matemat & Stat, I-80126 Naples, Italy
[2] Alexandru Ioan Cuza Univ, Fac Comp Sci, Iasi 6600, Romania
[3] Tilburg Univ, CentER, NL-5000 LE Tilburg, Netherlands
[4] Tilburg Univ, Dept Econometr & Operat Res, NL-5000 LE Tilburg, Netherlands
关键词
approximate fixed point; approximate Nash equilibrium; Banach space; closed multifunction; upper semicontinuous multifunction;
D O I
10.1016/S0022-247X(03)00450-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper some new approximate fixed point theorems for multifunctions in Banach spaces are presented and a method is developed indicating how to use approximate fixed point theorems in proving the existence of approximate Nash equilibria for non-cooperative games. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:619 / 628
页数:10
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