Fashion and Homophily

• 成果类型: Article
• 署名作者: Zhang, Boyu; Cao, Zhigang; Qin, Cheng-Zhong; Yang, Xiaoguang
• 署名单位: Beijing Normal University; Beijing Jiaotong University; University of California System; University of California Santa Barbara; Chinese Academy of Sciences; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.2018.1744
• 发表日期: 2018
• 页码: 1486-1497
• 关键词: model; game; equilibria; EVOLUTION; DYNAMICS

摘要

We 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.