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Dynamic matching pennies on networks
Cao, Zhigang1; Qin, Cheng-zhong2; Yang, Xiaoguang3,5; Zhang, Boyu4
AbstractWe 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.
KeywordNetwork games Matching pennies Coordination Anti-coordination Best response dynamic
Funding ProjectFundamental 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 Research AreaBusiness & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS SubjectEconomics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods ; Statistics & Probability
WOS IDWOS:000482911700008
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Document Type期刊论文
Corresponding AuthorYang, Xiaoguang
Affiliation1.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
Recommended Citation
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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