Essential equilibria in normal-form games

被引：35
作者：
Carbonell-Nicolau, Oriol [1 ]
机构：
[1] Rutgers State Univ, Dept Econ, New Brunswick, NJ 08901 USA
来源：
JOURNAL OF ECONOMIC THEORY | 2010年 / 145卷 / 01期
关键词：
Infinite normal-form game; Equilibrium refinement; Essential equilibrium; Payoff security; EXISTENCE; PURE;
D O I：
10.1016/j.jet.2009.06.002
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
A Nash equilibrium x of a normal-form game G is essential if any perturbation of G has an equilibrium close to x. Using payoff perturbations, we show that for games that are generic in the set of compact, quasiconcave, and generalized payoff secure games with upper semicontinuous sum of payoffs, all equilibria are essential. Some variants of this result are also established. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：421 / 431
页数：11
相关论文
共 50 条
[21]   Cooperative equilibria of strategy-form games with both nontransferable and transferable utilities [J].
Yang, Zhe ;
Yang, Xinyu .
OPERATIONS RESEARCH LETTERS, 2024, 54
[22]   Existence of Nash equilibria in finite extensive form games with imperfect recall: A counterexample [J].
Wichardt, Philipp C. .
GAMES AND ECONOMIC BEHAVIOR, 2008, 63 (01) :366-369
[23]   Equilibria in games with weak payoff externalities [J].
Iimura, Takuya ;
Maruta, Toshimasa ;
Watanabe, Takahiro .
ECONOMIC THEORY BULLETIN, 2019, 7 (02) :245-258
[24]   Invariant equilibria and classes of equivalent games [J].
Allison, Blake A. ;
Bagh, Adib ;
Lepore, Jason J. .
GAMES AND ECONOMIC BEHAVIOR, 2022, 132 :448-462
[25]   Perfect equilibria in games of incomplete information [J].
Carbonell-Nicolau, Oriol .
ECONOMIC THEORY, 2021, 71 (04) :1591-1648
[26]   On the uniqueness of Nash equilibrium in discontinuous ordinal and normal form games [J].
Scalzo, Vincenzo .
ECONOMIC THEORY BULLETIN, 2020, 8 (01) :163-168
[27]   Cooperative equilibria of strategy-form games with infinitely many nontransferable and transferable utilities [J].
Yang, Zhe ;
Yang, Xinyu .
OPERATIONS RESEARCH LETTERS, 2025, 58
[28]   Essential equilibria [J].
Govindan, S ;
Wilson, R .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (43) :15706-15711
[29]   An interim core for normal form games and exchange economies with incomplete information [J].
Askoura, Y. .
JOURNAL OF MATHEMATICAL ECONOMICS, 2015, 58 :38-45
[30]   Nash equilibria of quasisupermodular games [J].
Yu, Lu .
OPERATIONS RESEARCH LETTERS, 2025, 58
12345