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Social Networks And The Convergence Of Population Attributes: A Generalization

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  • Jan K. Brueckner
  • Oleg Smirnov

Abstract

Analysis of social interactions has recently become an important area of economic research, and the focus of researchers in this area has increasingly shifted toward dynamic models. In one recent contribution, Brueckner and Smirnov (2007) analyze the evolution of population attributes in an exceedingly simple model, where an agent's attributes at time "t" are equal to the average attribute value among his acquaintances. The pattern of acquaintances in the population is determined by the social network, and Brueckner and Smirnov (BS) explore the effect of network characteristics on the convergence of population attributes over time. They show that some simple sufficient conditions on the network structure ensure convergence to a "melting-pot" equilibrium where attributes are uniform across agents. The present paper provides a generalization of BS's analysis, allowing for a more general form of the rule governing the evolution of population attributes. The analysis shows that BS's previous conclusions continue to hold under this generalization, while also providing a result that can be applied more generally to other models. Copyright (c) Blackwell Publishing, Inc. 2008

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Bibliographic Info

Article provided by Wiley Blackwell in its journal Journal of Regional Science.

Volume (Year): 48 (2008)
Issue (Month): 2 ()
Pages: 359-365

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Handle: RePEc:bla:jregsc:v:48:y:2008:i:2:p:359-365

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Web page: http://www.blackwellpublishing.com/journal.asp?ref=0022-4146

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  1. J. Scheinkman & U. Horst, 2003. "Equilibria in Systems of Social Interactions," Princeton Economic Theory Working Papers d5a39039d26e0b08775b915bf, David K. Levine.
  2. Edward L. Glaeser & Jose A. Scheinkman, 2001. "Non-Market Interactions," Harvard Institute of Economic Research Working Papers 1914, Harvard - Institute of Economic Research.
  3. Bisin, Alberto & Horst, Ulrich & Ozgur, Onur, 2006. "Rational expectations equilibria of economies with local interactions," Journal of Economic Theory, Elsevier, vol. 127(1), pages 74-116, March.
  4. Brock, William A & Durlauf, Steven N, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Wiley Blackwell, vol. 68(2), pages 235-60, April.
  5. Bisin, A. & Verdier, T., 1999. "Beyond the Melting Pot : Cultural Transmission, Marriage, and the Evolution of Ethnic and Religious Traits," DELTA Working Papers 1999-10, DELTA (Ecole normale supérieure).
  6. Bisin, Alberto & Verdier, Thierry, 2001. "The Economics of Cultural Transmission and the Dynamics of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 298-319, April.
  7. Yannis M. Ioannides, 2004. "Topologies Of Social Interactions," Econometric Society 2004 North American Winter Meetings 287, Econometric Society.
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Cited by:
  1. Panebianco, Fabrizio, 2014. "Socialization networks and the transmission of interethnic attitudes," Journal of Economic Theory, Elsevier, vol. 150(C), pages 583-610.
  2. Michael M. Pichler, 2010. "The Economics of Cultural Formation of Preferences," Working Papers 431, Bielefeld University, Center for Mathematical Economics.
  3. 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".

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