Article ID Journal Published Year Pages File Type
972025 Mathematical Social Sciences 2016 7 Pages PDF
Abstract

•Model of cultural evolution of social activity is considered.•Social activity increases popularity among non-relatives, reduces fertility.•More frequent interactions with non-relatives cause more social activity.•If cultural transmission acts on preferences, concern for social prestige evolves.

This paper seeks answers to two questions. First, if a greater social activity of an individual enhances oblique (i.e. to non-relatives) transmission of her cultural traits at the expense of vertical (i.e. to children) transmission as well as family size, which behavior is optimal from cultural evolution standpoint? I formalize a general model that characterizes evolutionarily stable social activity. The proposed model replicates the theory of Newson et al. (2007) that fertility decline is caused by increasing role of oblique cultural transmission. Second, if social activity is a rational choice rather than a culturally inherited trait, and if cultural transmission acts on preferences rather than behaviors, which preferences survive the process of cultural evolution? I arrive at a very simple yet powerful result: under mild assumptions on model structure, only preferences which emphasize exclusively the concern for social prestige, i.e. extent to which one’s cultural trait has been picked up by others, survive.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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