On the existence of Nash equilibrium in discontinuous games

被引：33
|
作者：
Nessah, Rabia [1 ]
Tian, Guoqiang [2 ]
机构：
[1] CNRS, LEM, UMR 9221, IESEG Sch Management, 3 Rue Digue, F-59000 Lille, France
[2] Texas A&M Univ, Dept Econ, College Stn, TX 77843 USA
来源：
ECONOMIC THEORY | 2016年 / 61卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Discontinuous games; Quasi-weak transfer continuity; Various notions of transfer continuity; Nash equilibrium; N-PERSON GAMES; PAYOFFS; THEOREM; POINTS; PURE;
D O I：
10.1007/s00199-015-0921-8
中图分类号：
F [经济];
学科分类号：
02 ;
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：26
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