Fashion and Homophily
Fashion and Homophily
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DOI：
10.2139/ssrn.2250898
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发表时间：
2013-04
期刊：
影响因子：
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通讯作者：
Boyu Zhang;Zhigang Cao;C. Qin;Xiaoguang Yang
中科院分区：
文献类型：
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作者：
Boyu Zhang;Zhigang Cao;C. Qin;Xiaoguang Yang
我们根据社交网络游戏分析了一种时尚发展模型，被称为时尚游戏。该模型中的每个代理都是顺从者或反叛者。一个顺从的人更喜欢采取在其邻近特工中最常见的行动，而叛军则偏爱相反的行动。当只有一种类型的代理商时，时装游戏具有确切的潜在功能，因此，时尚周期不太可能出现。这证实了Simmel（1904）的有见地的观察，即消费者的异质性对于时尚周期的出现至关重要。但是，人口组成并不是那么重要。重要的是称为同质指数的更微妙的结构因子。我们的主要发现是，较高的同质指数通常会抑制时尚周期的出现。这是通过潜在分析，部分潜在分析以及对普通微分方程系统的稳定性分析来确定的，该系统通过应用平均场近似值和扩散近似而从随机的最佳响应动态转变为时尚游戏的随机最佳响应动态。特别是，本文引入了部分潜在分析，以扩展开创性分析。
We analyze a model of evolution of fashion based on a social network game, to be referred to as a fashion game. Each agent in this model is either a conformist or a rebel. A conformist prefers to take the action that is most common among her neighboring agents, whereas a rebel prefers the opposite. When there is only one type of agents, the fashion game possesses an exact potential function and, thus, fashion cycles are unlikely to emerge. This confirms the insightful observation of Simmel (1904) that the heterogeneity of consumers is essential to the emergence of fashion cycles. However, the population composition is not so important. What matters is a more subtle structure factor called the homophily index. Our main finding is that a higher homophily index generally inhibits the emergence of fashion cycles. This is established through the potential analysis, the partial potential analysis, and the stability analysis of a system of ordinary differential equations that is transformed from the stochastic best response dynamic of the fashion game by applying mean-field approximations and the diffusion approximation. In particular, the partial potential analysis is introduced in this paper as an extension of the seminal potential analysis.