Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality

被引：14

作者：

Scalzo, Vincenzo ^{[1
]}

机构：

[1] Univ Naples Federico II, Dept Econ & Stat DISES, Via Cinthia 21, I-80126 Naples, Italy

来源：

JOURNAL OF MATHEMATICAL ECONOMICS | 2019年 / 82卷

关键词：

Discontinuous ordinal games; Ky Fan minimax inequality; Existence of Nash equilibria; NASH EQUILIBRIUM;

D O I：

10.1016/j.jmateco.2019.02.008

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this paper, we exhibit a relation between the Nash equilibrium existence problem in ordinal games and the My Fan minimax inequality. In this way, we obtain new sufficient conditions for the existence of equilibria. The main tools used in the paper are a necessary condition introduced in Nassah and Tian (2016) for normal form games and a generalization of the single deviation property. Examples compare our result with the previous ones. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：197 / 201

页数：5

共 36 条

[31] Necessary and sufficient conditions for solutions of the Ky Fan minimax inequality and the non-emptiness of fuzzy cores in economies
Liu, Jiuqiang
[J]. FUZZY SETS AND SYSTEMS, 2023, 467
[32] A Note on Discontinuous Games: Single Lower-Deviation Property
Nessah, Rabia
[J]. REVUE D ECONOMIE POLITIQUE, 2019, 129 (03): : 419 - 429
[33] Well-posed Ky Fan's point, quasi-variational inequality and Nash equilibrium problems
Yu, Jian
Yang, Hui
Yu, Chao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (04) : 777 - 790
[34] Generalization of Ky Fan's minimax inequality with applications to generalized variational inequalities for pseudo-monotone operators and fixed point theorems
Chowdhury, MSR
Tan, KK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (03) : 910 - 929
[35] Existence and generic stability conditions of equilibrium points to controlled systems for n-player multiobjective generalized games using the Kakutani–Fan–Glicksberg fixed-point theorem
Nguyen Van Hung
André A. Keller
[J]. Optimization Letters, 2022, 16 : 1477 - 1493
[36] Existence and generic stability conditions of equilibrium points to controlled systems for n-player multiobjective generalized games using the Kakutani-Fan-Glicksberg fixed-point theorem
Hung, Nguyen Van
Keller, Andre A.
[J]. OPTIMIZATION LETTERS, 2022, 16 (05) : 1477 - 1493

← 1 2 3 4 →