The dynamics of continuous cultural traits in social networks

• 成果类型: Article
• 署名作者: Buechel, Berno; Hellmann, Tim; Pichler, Michael M.
• 署名单位: University of Hamburg; University of Bielefeld
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2014.09.008
• 发表日期: 2014
• 页码: 274-309
• 关键词: cultural transmission; Continuous cultural traits; social networks; Persistence of cultural traits; opinion dynamics

摘要

We consider an overlapping generations model where continuous cultural traits are transmitted from an adult generation to the children. A weighted social network describes how children are influenced not only by their parents but also by other role models within the society. Parents can invest into the purposeful socialization of their children by strategically displaying a cultural trait (which need not coincide with their true cultural trait). We observe a cultural substitution effect when parents choose their behavior optimally. Based on Nash equilibrium behavior, we then study the dynamics of cultural traits throughout generations. These converge if parent's influence on their children is large enough compared to the social environment's influence. Under convergent dynamics, closed subgroups fully assimilate, while heterogeneous traits prevail in the other groups. Speed of convergence is low when parents' incentives to socialize their children to the own trait are high. (c) 2014 Elsevier Inc. All rights reserved.