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The Dynamics of Continuous Cultural Traits in Social Networks

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Author Info

  • Berno Buechel

    ()
    (University of Hamburg)

  • Tim Hellmann

    ()
    (Institute of Mathematical Economics, Bielefeld University)

  • Michael M. Pichler

    ()
    (Institute of Mathematical Economics, Bielefeld University)

Abstract

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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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-457.pdf
File Function: First version, 2011
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Bibliographic Info

Paper provided by Bielefeld University, Center for Mathematical Economics in its series 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

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Related research

Keywords: cultural transmission; social networks; preference formation; cultural persistence; opinion dynamics;

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References

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  1. Alesina, Alberto F & Giuliano, Paola & Nunn, Nathan, 2011. "On the origins of gender roles: women and the plough," CEPR Discussion Papers 8418, C.E.P.R. Discussion Papers.
  2. Botticini, Maristella & Eckstein, Zvi, 2004. "Jewish Occupational Selection: Education, Restrictions, or Minorities?," IZA Discussion Papers 1224, Institute for the Study of Labor (IZA).
  3. Nico Voigtlaender & Hans-Joachim Voth, 2011. "Persecution Perpetuated: The Medieval Origins of Anti-Semitic Violence in Nazi Germany," NBER Working Papers 17113, National Bureau of Economic Research, Inc.
  4. Dohmen, Thomas J. & Falk, Armin & Huffman, David & Sunde, Uwe, 2009. "The intergenerational transmission of attitudes," Munich Reprints in Economics 20054, University of Munich, Department of Economics.
  5. Bisin, A. & Verdier, T., 1997. "The Economics of Cultural Transmission and the Dynamics of Preferences," DELTA Working Papers 97-03, DELTA (Ecole normale supérieure).
  6. 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.
  7. Raquel Fernández & Alessandra Fogli & Claudia Olivetti, 2004. "Mothers and Sons: Preference Formation and Female Labor Force Dynamics," The Quarterly Journal of Economics, MIT Press, vol. 119(4), pages 1249-1299, November.
  8. Luc Arrondel, 2009. ""My Father was right": The transmission of values between generations," PSE Working Papers halshs-00566808, HAL.
  9. Pablo Brañas-Garza & Shoshana Neuman, 2007. "Parental religiosity and daughters’ fertility: the case of Catholics in southern Europe," Review of Economics of the Household, Springer, vol. 5(3), pages 305-327, September.
  10. Bisin, Alberto & Verdier, Thierry, 1998. "On the cultural transmission of preferences for social status," Journal of Public Economics, Elsevier, vol. 70(1), pages 75-97, October.
  11. Fabrizio Panebianco, 2009. "“Driving While Black”: A Theory for Interethnic Integration and Evolution of Prejudice," Working Papers 2009_10, Department of Economics, University of Venice "Ca' Foscari".
  12. Guido Tabellini, 2008. "Presidential Address Institutions and Culture," Journal of the European Economic Association, MIT Press, vol. 6(2-3), pages 255-294, 04-05.
  13. Alberto Bisin & Giorgio Topa, 2003. "Empirical Models of Cultural Transmission," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 363-375, 04/05.
  14. Lorenz, Jan, 2005. "A stabilization theorem for dynamics of continuous opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 217-223.
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Citations

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Cited by:
  1. Manuel Förster & Michel Grabisch & Agnieszka Rusinowsk, 2013. "Anonymous Social Influence," Working Papers 2013.51, Fondazione Eni Enrico Mattei.
  2. Büchel, Berno & Hellmann, Tim & Klößner, Stefan, 2013. "Opinion Dynamics and Wisdom under Conformity," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79770, Verein für Socialpolitik / German Economic Association.
  3. repec:hal:cesptp:halshs-00906367 is not listed on IDEAS
  4. Berno Buechel & Tim Hellmann & Stefan Kloessner, 2012. "Opinion Dynamics under Conformity," Working Papers 469, Bielefeld University, Center for Mathematical Economics.
  5. Michel Grabisch & Agnieszka Rusinowska, 2013. "A Model of Influence Based on Aggregation Function," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00906367, HAL.
  6. Manuel Förster & Michel Grabisch & Agnieszka Rusinowska, 2012. "Ordered Weighted Averaging in Social Networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00746988, HAL.

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