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
相关论文
共 50 条
  • [1] Generalized Quantum Games with Nash Equilibrium
    LIU Xu-Feng Department of Mathematics
    CommunicationsinTheoreticalPhysics, 2004, 41 (04) : 553 - 556
  • [2] Generalized quantum games with Nash Equilibrium
    Liu, XF
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 41 (04) : 553 - 556
  • [3] Generalized Nash equilibrium problems
    Facchinei, Francisco
    Kanzow, Christian
    4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2007, 5 (03): : 173 - 210
  • [4] Generalized Nash Equilibrium Problems
    Francisco Facchinei
    Christian Kanzow
    Annals of Operations Research, 2010, 175 : 177 - 211
  • [5] Generalized Nash equilibrium problems
    Francisco Facchinei
    Christian Kanzow
    4OR, 2007, 5 : 173 - 210
  • [6] Generalized Nash Equilibrium Problems
    Facchinei, Francisco
    Kanzow, Christian
    ANNALS OF OPERATIONS RESEARCH, 2010, 175 (01) : 177 - 211
  • [7] NONZERO-SUM GAMES OF OPTIMAL STOPPING AND GENERALIZED NASH EQUILIBRIUM PROBLEMS
    Martyr, Randall
    Moriarty, John
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (02) : 1443 - 1465
  • [8] RATIONAL GENERALIZED NASH EQUILIBRIUM PROBLEMS
    Nie, Jiawang
    Tang, Xindong
    Zhong, Suhan
    SIAM JOURNAL ON OPTIMIZATION, 2023, 33 (03) : 1587 - 1620
  • [9] An algorithm for equilibrium selection in generalized Nash equilibrium problems
    Axel Dreves
    Computational Optimization and Applications, 2019, 73 : 821 - 837
  • [10] An algorithm for equilibrium selection in generalized Nash equilibrium problems
    Dreves, Axel
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 73 (03) : 821 - 837
12345