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The Dynamics of Continuous Cultural Traits in Social Networks

  • Berno Buechel

    ()

    (University of Hamburg)

  • Tim Hellmann

    ()

    (Institute of Mathematical Economics, Bielefeld University)

  • Michael M. Pichler

    ()

    (Institute of Mathematical Economics, Bielefeld University)

We consider an OLG model (of a socialization process) where continuous 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 trait). Based on Nash equilibrium behavior, we study the dynamics of cultural traits throughout generations. We provide conditions on the network structure that are sufficient for long-run convergence to a society with homogeneous subgroups. In the special case of quadratic utility, the condition is that each child is more intensely shaped by its parents than by the social environment. The model is akin to the classical DeGroot model of opinion formation which we generalize by allowing for strategic interaction.

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Paper provided by Center for Mathematical Economics, Bielefeld University in its series Center for Mathematical Economics Working Papers with number 457.

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Length: 31 pages
Date of creation: Dec 2011
Date of revision:
Handle: RePEc:bie:wpaper:457
Contact details of provider: Postal: Postfach 10 01 31, 33501 Bielefeld
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Web page: http://www.imw.uni-bielefeld.de/

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  12. Zwiebel, Jeffrey H. & Vayanos, Dimitri & DeMarzo, Peter M., 2001. "Persuasion Bias, Social Influence, and Uni-Dimensional Opinions," Research Papers 1719, Stanford University, Graduate School of Business.
  13. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde, 2009. "The Intergenerational Transmission of Attitudes," CESifo DICE Report, Ifo Institute for Economic Research at the University of Munich, vol. 7(1), pages 8-12, 04.
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  17. Nico Voigtländer & Hans-Joachim Voth, 2011. "Persecution Perpetuated: The Medieval Origins of Anti-Semitic Violence in Nazi Germany," Working Papers 551, Barcelona Graduate School of Economics.
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  21. Bisin, A. & Verdier, T., 1997. "On the Cultural Transmission of Preferences for Social Status," DELTA Working Papers 97-04, DELTA (Ecole normale supérieure).
  22. Botticini, Maristella & Eckstein, Zvi, 2004. "Jewish Occupational Selection: Education, Restrictions, or Minorities?," IZA Discussion Papers 1224, Institute for the Study of Labor (IZA).
  23. Pablo Brañas-Garza & Shoshana Neuman, 2006. "Is fertility related to religiosity?-Evidence from Spain," Papers on Economics of Religion 06/06, Department of Economic Theory and Economic History of the University of Granada..
  24. Luigi Guiso & Paola Sapienza & Luigi Zingales, 2008. "Alfred Marshall Lecture Social Capital as Good Culture," Journal of the European Economic Association, MIT Press, vol. 6(2-3), pages 295-320, 04-05.
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  27. Aleksynska, Mariya, 2011. "Civic participation of immigrants in Europe: Assimilation, origin, and destination country effects," European Journal of Political Economy, Elsevier, vol. 27(3), pages 566-585, September.
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