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 23 条

[1] Aliprantis CD., 2006, INFINITE DIMENSIONAL
[2] [Anonymous], 2009, FURTHER RESULT UNPUB
[3] [Anonymous], PACIFIC J MATH
[4] An existence result for the generalized vector equilibrium problem
Ansari, QH
Yao, JC
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (08) : 53 - 56
[5] Bertrand J., 1883, J SAVANTS, V67, P499
[6] THE EXISTENCE OF EQUILIBRIUM IN DISCONTINUOUS ECONOMIC GAMES .1. THEORY
DASGUPTA, P
MASKIN, E
[J]. REVIEW OF ECONOMIC STUDIES, 1986, 53 (01) : 1 - 26
[7] The study of maximal elements, fixed points for Ls-majorized mappings and their applications to minimax and variational inequalities in product topological spaces
Deguire, P
Tan, KK
Yuan, GXZ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (07) : 933 - 951
[8] SOLUTION CONCEPTS IN 2-PERSON MULTICRITERIA GAMES
GHOSE, D
PRASAD, UR
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 63 (02) : 167 - 189
[9] STABILITY IN COMPETITION
Hotelling, Harold
[J]. ECONOMIC JOURNAL, 1929, 39 (153) : 41 - 57
[10] Non-existence of equilibrium in Vickrey, second-price, and English auctions
Jackson, Matthew O.
[J]. REVIEW OF ECONOMIC DESIGN, 2009, 13 (1-2) : 137 - 145

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