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Diversity and Popularity in Social Networks

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  • Yann Bramoulle
  • Brian Rogers

Abstract

Homophily, the tendency of linked agents to have similar characteristics, is an im- portant feature of social networks. We present a new model of network formation that allows the linking process to depend on individuals types and study the impact of such a bias on the network structure. Our main results fall into three categories: (i) we compare the distributions of intra- and inter-group links in terms of stochastic dominance, (ii) we show how, at the group level, homophily depends on the groups size and the details of the formation process, and (iii) we understand precisely the determinants of local homophily at the individual level. Especially, we ¯nd that popular individuals have more diverse networks. Our results are supported empirically in the AddHealth data looking at networks of social connections between boys and girls.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1475.

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Date of creation: Jan 2009
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Handle: RePEc:nwu:cmsems:1475

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Keywords: social networks; homophily; AddHealth; diversity; degree distributions;

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  1. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
  2. Sergio Currarini & Matthew O. Jackson & Paolo Pin, 2009. "An Economic Model of Friendship: Homophily, Minorities, and Segregation," Econometrica, Econometric Society, vol. 77(4), pages 1003-1045, 07.
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Cited by:
  1. Jaromir Kovarik & Marco J. van der Leij, 2011. "Risk Aversion and Social Networks," Tinbergen Institute Discussion Papers 11-072/1, Tinbergen Institute.
  2. Gaudeul, Alexia & Giannetti, Caterina, 2011. "The role of reciprocation in social network formation, with an application to blogging," MPRA Paper 34094, University Library of Munich, Germany.
  3. Yann Bramoullé & Bernard Fortin, 2009. "The Econometrics of Social Networks," Cahiers de recherche 0913, CIRPEE.
  4. Thomas Chaney, 2011. "The Network Structure of International Trade," NBER Working Papers 16753, National Bureau of Economic Research, Inc.
  5. Jaromir Kovarik & Marco J. van der Leij, 2011. "Risk Aversion and Social Networks," Tinbergen Institute Discussion Papers 11-072/1, Tinbergen Institute.
  6. De Martí, Joan & Zenou, Yves, 2009. "Ethnic Identity and Social Distance in Friendship Formation," CEPR Discussion Papers 7566, C.E.P.R. Discussion Papers.
  7. de Marti, Joan & Zenou, Yves, 2011. "Identity and Social Distance in Friendship Formation," Research Papers in Economics 2011:13, Stockholm University, Department of Economics.
  8. Michael Koenig, 2012. "The Formation of Networks with Local Spillovers and Limited Observability," Discussion Papers 11-004, Stanford Institute for Economic Policy Research.

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