KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | JOURNAL OF MATHEMATICAL ECONOMICS
 |
| ISSN | 0304-4068 |
| Volume | 78Pages:45-51 |
| Abstract | 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. |
| Keyword | Strategic complements Strategic substitutes Supermodular games Embedding Network games |
| DOI | 10.1016/j.jmateco.2018.07.005 |
| Language | 英语 |
| Funding Project | NNSF of China[11471326] ; NNSF of China[11531014] ; NNSF of China[11601022] |
| WOS Research Area | Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences |
| WOS Subject | Economics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods |
| WOS ID | WOS:000448495000006 |
| Publisher | ELSEVIER SCIENCE SA |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31683 |
| Collection | 应用数学研究所 系统科学研究所 |
| Corresponding Author | Yang, Xiaoguang |
| Affiliation | 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 |
| 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment