Some infinite-player generalizations of Scarf's theorem: Finite-coalition alpha-cores and weak alpha-cores

doi:10.1016/j.jmateco.2017.09.005

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	Some infinite-player generalizations of Scarf's theorem: Finite-coalition alpha-cores and weak alpha-cores
	Yang, Zhe 1,2
刊名	JOURNAL OF MATHEMATICAL ECONOMICS
	2017-12
卷号	73 页码:81-85
关键词	(Weak) alpha-core Infinitely many players Existence
ISSN号	0304-4068
DOI	10.1016/j.jmateco.2017.09.005
英文摘要	In this paper, we first obtain some infinite-dimension versions of Scarf's theorem. Second, we provide two generalizations of Scarf (1971) to normal-form games with infinitely many players. Under the assumptions analogous to Scarf (1971), we prove the nonemptiness of the finite-coalition alpha-core. Furthermore, by strengthening the assumptions, we obtain the nonemptiness of the weak alpha-core, and show that the weak alpha-core coincides with the closed-coalition alpha-core. (C) 2017 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:000417775600007
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/828]
专题	上海财经大学
通讯作者	Yang, Zhe
作者单位	1.Minist Educ, Key Lab Math Econ SUFE, Shanghai 200433, Peoples R China 2.Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China;
推荐引用方式 GB/T 7714	Yang, Zhe. Some infinite-player generalizations of Scarf's theorem: Finite-coalition alpha-cores and weak alpha-cores[J]. JOURNAL OF MATHEMATICAL ECONOMICS,2017,73:81-85.
APA	Yang, Zhe.(2017).Some infinite-player generalizations of Scarf's theorem: Finite-coalition alpha-cores and weak alpha-cores.JOURNAL OF MATHEMATICAL ECONOMICS,73,81-85.
MLA	Yang, Zhe."Some infinite-player generalizations of Scarf's theorem: Finite-coalition alpha-cores and weak alpha-cores".JOURNAL OF MATHEMATICAL ECONOMICS 73(2017):81-85.