On the existence of Nash equilibrium in discontinuous games

被引:0
作者
Rabia Nessah
Guoqiang Tian
机构
[1] IESEG School of Management,Department of Economics
[2] CNRS-LEM (UMR 9221),undefined
[3] Texas A&M University,undefined
来源
Economic Theory | 2016年 / 61卷
关键词
Discontinuous games; Quasi-weak transfer continuity ; Various notions of transfer continuity; Nash equilibrium; C72; C62;
D O I
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学科分类号
摘要
This paper offers an equilibrium existence theorem in discontinuous games. We introduce a new notion of very weak continuity, called quasi-weak transfer continuity that guarantees the existence of pure strategy Nash equilibrium in compact and quasiconcave games. We also consider possible extensions and improvements of the main result. We present applications to show that our conditions allow for economically meaningful payoff discontinuities.
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页码:515 / 540
页数:25
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共 61 条
[1]  
Bagh A(2006)Reciprocal upper semicontinuity and better reply secure games: a comment Econometrica 74 1715-1721
[2]  
Jofre A(2013)A note on the equilibrium existence problem in discontinuous games Econometrica 81 813-824
[3]  
Barelli P(1993)Characterizations of the existence of equilibria in games with discontinuous and non-quasiconcave payoffs Rev. Econ. Stud. 60 935-948
[4]  
Meneghel I(1883)Theorie mathematique de la richesse sociale J. Sav. 67 499-508
[5]  
Baye MR(2009)An existence result for discontinuous games J. Econ. Theory 144 1333-1340
[6]  
Tian G(2011)Understanding some recent existence results for discontinuous games Econ. Theory 39 31-45
[7]  
Zhou J(2014)Reducible equilibrium properties: comments on recent existence results Econ. Theory 5 261-269
[8]  
Bertrand J(2015)Existence of Nash equilibrium in ordinal games with discontinuous preferences Econ. Theory 53 1-26
[9]  
Carmona G(1995)Familles Sélectantes Topol. Methods Nonlinear Anal. 38 886-893
[10]  
Carmona G(1986)The existence of equilibrium in discontinuous economic games. Part I: theory Rev. Econ. Stud. 39 41-57