Embedding games with strategic complements into games with strategic substitutes
文献类型：期刊论文
| 作者 | Cao, Zhigang1; Chen, Xujin2,3 ; Qin, Cheng-Zhong4; Wang, Changjun5; Yang, Xiaoguang2,3
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| 刊名 | JOURNAL OF MATHEMATICAL ECONOMICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000448495000006 |
| 出版者 | ELSEVIER SCIENCE SA |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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