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The dynamics of continuous cultural traits in social networks

Author

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  • Buechel, Berno
  • Hellmann, Tim
  • Pichler, Michael M.

Abstract

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.

Suggested Citation

  • Buechel, Berno & Hellmann, Tim & Pichler, Michael M., 2014. "The dynamics of continuous cultural traits in social networks," Journal of Economic Theory, Elsevier, vol. 154(C), pages 274-309.
  • Handle: RePEc:eee:jetheo:v:154:y:2014:i:c:p:274-309
    DOI: 10.1016/j.jet.2014.09.008
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    Cited by:

    1. Förster, Manuel & Grabisch, Michel & Rusinowska, Agnieszka, 2013. "Anonymous social influence," Games and Economic Behavior, Elsevier, vol. 82(C), pages 621-635.
    2. Grabisch, Michel & Rusinowska, Agnieszka, 2013. "A model of influence based on aggregation functions," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 316-330.
    3. repec:gam:jgames:v:8:y:2017:i:4:p:51-:d:119855 is not listed on IDEAS
    4. Buechel, Berno & Hellmann, Tim & Klößner, Stefan, 2015. "Opinion dynamics and wisdom under conformity," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 240-257.
    5. repec:eee:gamebe:v:105:y:2017:i:c:p:155-176 is not listed on IDEAS
    6. Prummer, Anja & Siedlarek, Jan-Peter, 2017. "Community leaders and the preservation of cultural traits," Journal of Economic Theory, Elsevier, vol. 168(C), pages 143-176.
    7. repec:hal:cesptp:halshs-00906367 is not listed on IDEAS
    8. repec:eee:jetheo:v:174:y:2018:i:c:p:300-323 is not listed on IDEAS
    9. Michel Grabisch & Antoine Mandel & Agnieszka Rusinowska & Emily Tanimura, 2015. "Strategic influence in social networks," Documents de travail du Centre d'Economie de la Sorbonne 15006, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    10. Anja Prummer & Jan-Peter Siedlarek, 2014. "Institutions and the Preservation of Cultural Traits," Cambridge Working Papers in Economics 1465, Faculty of Economics, University of Cambridge.
    11. Manuel Förster & Michel Grabisch & Agnieszka Rusinowska, 2012. "Ordered Weighted Averaging in Social Networks," Documents de travail du Centre d'Economie de la Sorbonne 12056, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    12. Yann Algan & Pierre Cahuc, 2010. "Inherited Trust and Growth," American Economic Review, American Economic Association, vol. 100(5), pages 2060-2092, December.
    13. Olcina, Gonzalo & Panebianco, Fabrizio & Zenou, Yves, 2017. "Conformism, Social Norms and the Dynamics of Assimilation," CEPR Discussion Papers 12166, C.E.P.R. Discussion Papers.
    14. Hellmann, Tim & Panebianco, Fabrizio, 2018. "The transmission of continuous cultural traits in endogenous social networks," Center for Mathematical Economics Working Papers 579, Center for Mathematical Economics, Bielefeld University.
    15. Cheung, Man-Wah & WU, JIABIN, 2016. "On The Transmission of Continuous Cultural Traits," MPRA Paper 69934, University Library of Munich, Germany.
    16. Panebianco, Fabrizio & Verdier, Thierry, 2015. "Paternalism, Cultural Transmission and Diffusion on Complex Networks," CEPR Discussion Papers 10722, C.E.P.R. Discussion Papers.
    17. Michel Grabisch & Alexis Poindron & Agnieszka Rusinowka, 2017. "A model of anonymous influence with anti-conformist agents," Documents de travail du Centre d'Economie de la Sorbonne 17047, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    18. Del Bello, Carlo & Panebianco, Fabrizio & Verdier, Thierry & Zenou, Yves, 2016. "Cultural Transmission and Socialization Spillovers in Education," CEPR Discussion Papers 11419, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Cultural transmission; Continuous cultural traits; Social networks; Persistence of cultural traits; Opinion dynamics;

    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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