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Intergenerational Cultural Transmission as an Evolutionary Game

Intergenerational Cultural Transmission as an Evolutionary Game Abstract We generalize the Bisin-Verdier model of intergenerational transmission to permit an arbitrary number of cultural traits. A key observation—that this model is equivalent to an evolutionary game under replicator dynamics—facilitates our analysis. For two special cases, obtained by restricting the pattern of “cultural distastes” between traits, we demonstrate global stability of the long-run distribution of traits using recent results on stable games and potential games. For the general three-trait case, we show that all three traits survive in the long run only if each trait satisfies an “invasion condition” involving the cultural distaste parameters. (JEL C73, D91, Z13 ) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png American Economic Journal: Microeconomics American Economic Association

Intergenerational Cultural Transmission as an Evolutionary Game

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Publisher
American Economic Association
Copyright
Copyright © 2010 by the American Economic Association
Subject
Articles
ISSN
1945-7685
eISSN
1945-7685
DOI
10.1257/mic.2.4.115
Publisher site
See Article on Publisher Site

Abstract

Abstract We generalize the Bisin-Verdier model of intergenerational transmission to permit an arbitrary number of cultural traits. A key observation—that this model is equivalent to an evolutionary game under replicator dynamics—facilitates our analysis. For two special cases, obtained by restricting the pattern of “cultural distastes” between traits, we demonstrate global stability of the long-run distribution of traits using recent results on stable games and potential games. For the general three-trait case, we show that all three traits survive in the long run only if each trait satisfies an “invasion condition” involving the cultural distaste parameters. (JEL C73, D91, Z13 )

Journal

American Economic Journal: MicroeconomicsAmerican Economic Association

Published: Nov 1, 2010

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