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A Simple Model of Homophily in Social Networks

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  • Sergio Currarini
  • Jesse Matheson
  • Fernando Vega Redondo

Abstract

Biases in meeting opportunities have been recently shown to play a key role for the emergence of homophily in social networks (see Currarini, Jackson and Pin 2009). The aim of this paper is to provide a simple microfoundation of these biases in a model where the size and typecomposition of the meeting pools are shaped by agents' socialization decisions. In particular, agents either inbreed (direct search only to similar types) or outbreed (direct search to population at large). When outbreeding is costly, this is shown to induce stark equilibrium behavior of a threshold type: agents \inbreed" (i.e. mostly meet their own type) if, and only if, their group is above certain size. We show that this threshold equilibrium generates patterns of in-group and cross-group ties that are consistent with empirical evidence of homophily in two paradigmatic instances: high school friendships and interethnic marriages.

Suggested Citation

  • Sergio Currarini & Jesse Matheson & Fernando Vega Redondo, 2016. "A Simple Model of Homophily in Social Networks," Discussion Papers in Economics 16/05, Division of Economics, School of Business, University of Leicester.
  • Handle: RePEc:lec:leecon:16/05
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    References listed on IDEAS

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    1. Matthew O. Jackson & Brian W. Rogers, 2005. "The Economics of Small Worlds," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 617-627, 04/05.
    2. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406.
    3. 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, July.
    4. Avinash Dixit, 2003. "Trade Expansion and Contract Enforcement," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1293-1317, December.
    5. Wing Suen, 2010. "Mutual Admiration Clubs," Economic Inquiry, Western Economic Association International, vol. 48(1), pages 123-132, January.
    6. Benjamin Golub & Matthew O. Jackson, 2012. "How Homophily Affects the Speed of Learning and Best-Response Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1287-1338.
    7. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    8. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096.
    9. Galeotti, Andrea & Ghiglino, Christian & Squintani, Francesco, 2013. "Strategic information transmission networks," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1751-1769.
    10. Mariagiovanna Baccara & Leeat Yariv, 2013. "Homophily in Peer Groups," American Economic Journal: Microeconomics, American Economic Association, vol. 5(3), pages 69-96, August.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Nicola Campigotto & Chiara Rapallini & Aldo Rustichini, 2022. "School friendship networks, homophily and multiculturalism: evidence from European countries," Journal of Population Economics, Springer;European Society for Population Economics, vol. 35(4), pages 1687-1722, October.
    2. Garance Genicot, 2022. "Tolerance and Compromise in Social Networks," Journal of Political Economy, University of Chicago Press, vol. 130(1), pages 94-120.
    3. Gao, Wayne Yuan & Li, Ming & Xu, Sheng, 2023. "Logical differencing in dyadic network formation models with nontransferable utilities," Journal of Econometrics, Elsevier, vol. 235(1), pages 302-324.
    4. Rapallini, Chiara & Rustichini, Aldo, 2019. "Personality and cognitive skills in network of friends, for multi-ethnic schools," Research in Economics, Elsevier, vol. 73(1), pages 1-14.
    5. Leonardo Boncinelli & Alessio Muscillo & Paolo Pin, 2022. "Efficiency and Stability in a Process of Teams Formation," Dynamic Games and Applications, Springer, vol. 12(4), pages 1101-1129, December.
    6. Paul A. Gompers & Kevin Huang & Sophie Q. Wang, 2017. "Homophily in Entrepreneurial Team Formation," Harvard Business School Working Papers 17-104, Harvard Business School.
    7. Ping Sun & Elena Parilina, 2022. "Impact of Utilities on the Structures of Stable Networks with Ordered Group Partitioning," Dynamic Games and Applications, Springer, vol. 12(4), pages 1131-1162, December.
    8. Xu, Hedong & Fan, Suohai & Tian, Cunzhi & Xiao, Xinrong, 2019. "Effect of strategy-assortativity on investor sharing games in the market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 211-225.
    9. Fershtman, Chaim & Persitz, Dotan, 2018. "Social Clubs and Social Networks," CEPR Discussion Papers 12874, C.E.P.R. Discussion Papers.
    10. Boucher, Vincent, 2020. "Equilibrium homophily in networks," European Economic Review, Elsevier, vol. 123(C).
    11. Nathan Berg & Jeong-Yoo Kim & Kyu Min Lee, 2021. "Why is parochialism prevalent?: an evolutionary approach," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(4), pages 769-796, October.
    12. Eugenia Nissi & Fabrizio Muratore, 2019. "Disciplinary homogeneity in university departments following the Gelmini law: an exploratory analysis through social networks," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(2), pages 831-857, March.
    13. Postigo-Boix, Marcos & Melús-Moreno, José L., 2018. "A social model based on customers’ profiles for analyzing the churning process in the mobile market of data plans," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 571-592.
    14. Javier Mejía, 2018. "The Network Formation Origin of Tribal Societies," Documentos CEDE 16381, Universidad de los Andes, Facultad de Economía, CEDE.
    15. Yasuyuki Todo & Keita Oikawa & Masahito Ambashi & Fukunari Kimura & Shujiro Urata, 2023. "Robustness and resilience of supply chains during the COVID‐19 pandemic," The World Economy, Wiley Blackwell, vol. 46(6), pages 1843-1872, June.
    16. Bilancini, Ennio & Boncinelli, Leonardo & Wu, Jiabin, 2018. "The interplay of cultural intolerance and action-assortativity for the emergence of cooperation and homophily," European Economic Review, Elsevier, vol. 102(C), pages 1-18.

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    More about this item

    Keywords

    Homophily; social networks; segregation.;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • 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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