On the existence of equilibria in games with arbitrary strategy spaces and preferences

doi:10.1016/j.jmateco.2015.06.001

CORC > 上海财经大学 > 上海财经大学

	On the existence of equilibria in games with arbitrary strategy spaces and preferences
	Tian, Guoqiang 1,2
刊名	JOURNAL OF MATHEMATICAL ECONOMICS
	2015-10
卷号	60 页码:9-16
关键词	Nash equilibrium Discontinuous games Arbitrary topological spaces Recursive transfer continuity
ISSN号	0304-4068
DOI	10.1016/j.jmateco.2015.06.001
英文摘要	This paper provides necessary and sufficient conditions for the existence of pure strategy Nash equilibria by replacing the assumptions concerning continuity and quasiconcavity with a unique condition, passing strategy space from topological vector spaces to arbitrary topological spaces. Preferences may also be nontotal/nontransitive, discontinuous, nonconvex, or nonmonotonic. We define a single condition, recursive diagonal transfer continuity (RDTC) for aggregator payoff function and recursive weak transfer quasi-continuity (RWTQC) for individuals' preferences, respectively, which establishes the existence of pure strategy Nash equilibria in games with arbitrary (topological) strategy spaces and preferences without imposing any kind of quasiconcavity-related conditions. (C) 2015 Elsevier B.V. All rights reserved.
WOS研究方向	Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences
语种	英语
出版者	ELSEVIER SCIENCE SA
WOS记录号	WOS:000361780900002
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1459]
专题	上海财经大学
通讯作者	Tian, Guoqiang
作者单位	1.Texas A&M Univ, Dept Econ, College Stn, TX 77843 USA; 2.Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Tian, Guoqiang. On the existence of equilibria in games with arbitrary strategy spaces and preferences[J]. JOURNAL OF MATHEMATICAL ECONOMICS,2015,60:9-16.
APA	Tian, Guoqiang.(2015).On the existence of equilibria in games with arbitrary strategy spaces and preferences.JOURNAL OF MATHEMATICAL ECONOMICS,60,9-16.
MLA	Tian, Guoqiang."On the existence of equilibria in games with arbitrary strategy spaces and preferences".JOURNAL OF MATHEMATICAL ECONOMICS 60(2015):9-16.