On the existence of ideal Nash equilibria in discontinuous games with infinite criteria

被引：5

作者：

Yang, Zhe ^{[1
]}

Meng, Dawen ^{[1
]}

Wang, Anqiang

机构：

[1] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China

来源：

OPERATIONS RESEARCH LETTERS | 2017年 / 45卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Infinite-criteria games; Ideal Nash equilibria; Discontinuous games; Pseudocontinuity; Existence;

D O I：

10.1016/j.orl.2017.05.004

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 paper, we introduce the notion of ideal Nash equilibria in infinite-criteria games. Applying the maximal element theorem, we provide an existence theorem of ideal Nash equilibria in infinite-criteria games with discontinuous payoff functions. We further give a necessary and sufficient condition for the existence of ideal Nash equilibria. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：362 / 365

页数：4

共 50 条

[21] On existence of Nash equilibria of games with constraints on multistrategies
Pensavalle, C
Pieri, G
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 107 (03) : 601 - 613
[22] On Existence of Nash Equilibria of Games with Constraints on Multistrategies
C. Pensevalle
G. Pieri
[J]. Journal of Optimization Theory and Applications, 2000, 107 : 601 - 613
[23] Existence of nash equilibria for constrained stochastic games
Jorge Alvarez-Mena
Onésimo Hernández-Lerma
[J]. Mathematical Methods of Operations Research, 2006, 63 : 261 - 285
[24] Existence of Nash Equilibria on Integer Programming Games
Carvalho, Margarida
Lodi, Andrea
Pedroso, Joao Pedro
[J]. OPERATIONAL RESEARCH, 2018, 223 : 11 - 23
[25] On the existence of Nash equilibriums for infinite matrix games
Li, Jinlu
Lin, Shuanglin
Zhang, Congjun
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) : 42 - 53
[26] On the existence of equilibria in discontinuous games: three counterexamples
Guilherme Carmona
[J]. International Journal of Game Theory, 2005, 33 : 181 - 187
[27] Polytopes and the existence of approximate equilibria in discontinuous games
Carmona, Guilherme
[J]. GAMES AND ECONOMIC BEHAVIOR, 2010, 68 (01) : 381 - 388
[28] On the existence of equilibria in discontinuous games: three counterexamples
Carmona, G
[J]. INTERNATIONAL JOURNAL OF GAME THEORY, 2005, 33 (02) : 181 - 187
[29] On the existence of limit admissible equilibria in discontinuous games
Carmona, Guilherme
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2019, 81 : 14 - 21
[30] Existence of Nash equilibrium in ordinal games with discontinuous preferences
Guilherme Carmona
Konrad Podczeck
[J]. Economic Theory, 2016, 61 : 457 - 478

← 1 2 3 4 5 →