KMS Of Academy of mathematics and systems sciences, CAS
Dynamic matching pennies on networks | |
Cao, Zhigang1; Qin, Cheng-zhong2; Yang, Xiaoguang3,5![]() | |
2019-09-01 | |
发表期刊 | INTERNATIONAL JOURNAL OF GAME THEORY
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ISSN | 0020-7276 |
卷号 | 48期号:3页码:887-920 |
摘要 | We consider a network game based on matching pennies with two types of agents, conformists and rebels. Conformists prefer tomatch the action taken by the majority of her neighbors while rebels like to match the minority. We investigate the simultaneous best response dynamic focusing on the lengths of limit cycles (LLC for short). We show that LLC = 1 or 2 when all agents are of the same type, and LLC = 4when there is no conformist-rebel edge and no two even-degreed agents (if any) are neighboring each other. Moreover, LLC = 1 for almost all type configurations when the network is a line or a ring, which implies that a pure strategy Nash equilibrium is reached from any initial action profile. However, LLC = 4 for about one half of the type configurations with star networks. |
关键词 | Network games Matching pennies Coordination Anti-coordination Best response dynamic |
DOI | 10.1007/s00182-019-00665-5 |
语种 | 英语 |
资助项目 | Fundamental Funds for Humanities and Social Sciences of Beijing Jiaotong University[2018JBWZB002] ; NNSF of China[71871009] ; NNSF of China[71771026] ; NNSF of China[11471326] ; NNSF of China[11761141007] ; NNSF of China[71731002] ; Fundamental Research Funds for the Central Universities of China ; National Defense Scientific and Technological Innovation Special Zone[17-163-11-XJ-002-006-01] |
WOS研究方向 | Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences |
WOS类目 | Economics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods ; Statistics & Probability |
WOS记录号 | WOS:000482911700008 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/35553 |
专题 | 系统科学研究所 |
通讯作者 | Yang, Xiaoguang |
作者单位 | 1.Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China 2.Univ Calif Santa Barbara, Dept Econ, Santa Barbara, CA 93106 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, MADIS, Beijing 100190, Peoples R China 4.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 5.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Cao, Zhigang,Qin, Cheng-zhong,Yang, Xiaoguang,et al. Dynamic matching pennies on networks[J]. INTERNATIONAL JOURNAL OF GAME THEORY,2019,48(3):887-920. |
APA | Cao, Zhigang,Qin, Cheng-zhong,Yang, Xiaoguang,&Zhang, Boyu.(2019).Dynamic matching pennies on networks.INTERNATIONAL JOURNAL OF GAME THEORY,48(3),887-920. |
MLA | Cao, Zhigang,et al."Dynamic matching pennies on networks".INTERNATIONAL JOURNAL OF GAME THEORY 48.3(2019):887-920. |
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