Equilibrium problems and generalized Nash games

被引：16
|
作者：
Nasri, Mostafa [1 ]
Sosa, Wilfredo [2 ]
机构：
[1] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil
[2] Univ Nacl Ingn, Inst Matemat & Ciencias Afines, Lima, Peru
来源：
OPTIMIZATION | 2011年 / 60卷 / 8-9期
关键词：
equilibrium problem; generalized Nash equilibrium problem; Ky Fan's lemma; point-to-set operator; VARIATIONAL INEQUALITY; MONOTONE BIFUNCTIONS; EXISTENCE;
D O I：
10.1080/02331934.2010.527341
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this article, we use Ky Fan's lemma to obtain a new existence result for equilibrium problems which does not invoke monotonicity of the objective function. Then we focus on reformulating of generalized Nash equilibrium problems (GNEPs) in terms of an equilibrium problem under reasonable assumptions. Finally, using our existence result and the reformulation, we obtain an existence result for GNEPs.
引用
收藏
页码：1161 / 1170
页数：10
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