Embedding games with strategic complements into games with strategic substitutes

doi:10.1016/j.jmateco.2018.07.005

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Embedding games with strategic complements into games with strategic substitutes
	Cao, Zhigang 1; Chen, Xujin2,3 ; Qin, Cheng-Zhong 4; Wang, Changjun 5; Yang, Xiaoguang2,3
刊名	JOURNAL OF MATHEMATICAL ECONOMICS
	2018-10-01
卷号	78 页码:45-51
关键词	Strategic complements Strategic substitutes Supermodular games Embedding Network games
ISSN号	0304-4068
DOI	10.1016/j.jmateco.2018.07.005
英文摘要	Games with strategic substitutes (GSS) are generally less tractable than games with strategic complements (GSC). This paper revisits the GSC versus GSS comparison by establishing a novel connection between them. We show through a network perspective that, when the strategy set of each player is the product of some linearly ordered sets that are order isomorphic to subsets of the real space, every GSC can be embedded into a GSS, such that the set of pure strategy Nash equilibria of the former is a projection of that of the latter. In comparison, no GSS with multiple pure strategy Nash equilibria can be embedded into any GSC. In this sense, the class of GSS is broader than the class of GSC. (C) 2018 Elsevier B.V. All rights reserved.
资助项目	NNSF of China[11471326] ; NNSF of China[11531014] ; NNSF of China[11601022]
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:000448495000006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31682]
专题	应用数学研究所系统科学研究所
通讯作者	Yang, Xiaoguang
作者单位	1.Beijing Jiaotong Univ, Sch Econ & Management, Dept Econ, Beijing 100044, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Univ Calif Santa Barbara, Dept Econ, Santa Barbara, CA 93106 USA 5.Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Cao, Zhigang,Chen, Xujin,Qin, Cheng-Zhong,et al. Embedding games with strategic complements into games with strategic substitutes[J]. JOURNAL OF MATHEMATICAL ECONOMICS,2018,78:45-51.
APA	Cao, Zhigang,Chen, Xujin,Qin, Cheng-Zhong,Wang, Changjun,&Yang, Xiaoguang.(2018).Embedding games with strategic complements into games with strategic substitutes.JOURNAL OF MATHEMATICAL ECONOMICS,78,45-51.
MLA	Cao, Zhigang,et al."Embedding games with strategic complements into games with strategic substitutes".JOURNAL OF MATHEMATICAL ECONOMICS 78(2018):45-51.