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Dynamic matching pennies on networks
Cao, Zhigang1; Qin, Cheng-zhong2; Yang, Xiaoguang3,5; Zhang, Boyu4
2019-09-01
发表期刊INTERNATIONAL JOURNAL OF GAME THEORY
ISSN0020-7276
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
DOI10.1007/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
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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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