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Embedding games with strategic complements into games with strategic substitutes
Cao, Zhigang1; Chen, Xujin2,3; Qin, Cheng-Zhong4; Wang, Changjun5; Yang, Xiaoguang2,3
2018-10-01
Source PublicationJOURNAL OF MATHEMATICAL ECONOMICS
ISSN0304-4068
Volume78Pages:45-51
AbstractGames 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.
KeywordStrategic complements Strategic substitutes Supermodular games Embedding Network games
DOI10.1016/j.jmateco.2018.07.005
Language英语
Funding ProjectNNSF of China[11471326] ; NNSF of China[11531014] ; NNSF of China[11601022]
WOS Research AreaBusiness & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS SubjectEconomics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods
WOS IDWOS:000448495000006
PublisherELSEVIER SCIENCE SA
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31683
Collection应用数学研究所
系统科学研究所
Affiliation1.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
Recommended Citation
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.
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