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Fashion and Homophily
Zhang, Boyu1; Cao, Zhigang2; Qin, Cheng-Zhong3; Yang, Xiaoguang4,5
2018-11-01
Source PublicationOPERATIONS RESEARCH
ISSN0030-364X
Volume66Issue:6Pages:1486-1497
AbstractWe analyze the evolution of fashion based on a network game model. Each agent in this model is a conformist or a rebel. A conformist prefers to take the action most common among her neighboring agents, whereas a rebel prefers the opposite. When there is only one type of agents, the model possesses an exact potential function, implying that fashion cycles are unlikely to emerge in a homogeneous population. The homophily index, a measure of segregation in networks with multiple types of nodes, is shown to play a key role in the emergence of fashion cycles. Our main finding is that a lower homophily index, in general, promotes the emergence of fashion cycles. We establish this result through a potential analysis, a partial potential analysis, and a stability analysis of a system of ordinary differential equations that is approximated from a stochastic best response dynamic. Numerical simulations based on a variety of networks confirm that the approximate analysis is reliable.
Keywordnetwork games fashion cycle homophily index
DOI10.1287/opre.2018.1744
Language英语
Funding ProjectNational Natural Science Foundation of China[11471326] ; National Natural Science Foundation of China[11301032] ; National Natural Science Foundation of China[71532013] ; National Natural Science Foundation of China[71771026] ; National Natural Science Foundation of China[71631002] ; Fundamental Research Funds for the Central Universities of China
WOS Research AreaBusiness & Economics ; Operations Research & Management Science
WOS SubjectManagement ; Operations Research & Management Science
WOS IDWOS:000454514500003
PublisherINFORMS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32104
Collection系统科学研究所
Affiliation1.Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
2.Beijing Jiaotong Univ, Sch Econ & Management, Dept Econ, Beijing 100044, Peoples R China
3.Univ Calif Santa Barbara, Dept Econ, Santa Barbara, CA 93106 USA
4.Chinese Acad Sci, Acad Math & Syst Sci, DKey Lab Management Decis & Informat Syst, Beijing 100190, Peoples R China
5.Univ Chinese Acad Sci, Beijing 10049, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Boyu,Cao, Zhigang,Qin, Cheng-Zhong,et al. Fashion and Homophily[J]. OPERATIONS RESEARCH,2018,66(6):1486-1497.
APA Zhang, Boyu,Cao, Zhigang,Qin, Cheng-Zhong,&Yang, Xiaoguang.(2018).Fashion and Homophily.OPERATIONS RESEARCH,66(6),1486-1497.
MLA Zhang, Boyu,et al."Fashion and Homophily".OPERATIONS RESEARCH 66.6(2018):1486-1497.
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