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Segregation in Networks

Author

Listed:
  • Giorgio Fagiolo

    (University of Verona, and Sant'Anna School of Advanced Studies, Pisa)

  • Marco Valente

    (University of L'Aquila)

  • Nicolaas J. Vriend

    () (Queen Mary, University of London)

Abstract

Schelling (1969, 1971, 1971, 1978) considered a simple model with individual agents who only care about the types of people living in their own local neighborhood. The spatial structure was represented by a one- or two-dimensional lattice. Schelling showed that an integrated society will generally unravel into a rather segregated one even though no individual agent strictly prefers this. We make a first step to generalize the spatial proximity model to a proximity model of segregation. That is, we examine models with individual agents who interact 'locally' in a range of network structures with topological properties that are different from those of regular lattices. Assuming mild preferences about with whom they interact, we study best-response dynamics in random and regular non-directed graphs as well as in small-world and scale-free networks. Our main result is that the system attains levels of segregation that are in line with those reached in the lattice-based spatial proximity model. In other words, mild proximity preferences can explain segregation not just in regular spatial networks but also in more general social networks. Furthermore, segregation levels do not dramatically vary across different network structures. That is, Schelling's original results seem to be robust also to the structural properties of the network.

Suggested Citation

  • Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005. "Segregation in Networks," Working Papers 549, Queen Mary University of London, School of Economics and Finance.
  • Handle: RePEc:qmw:qmwecw:wp549
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    References listed on IDEAS

    as
    1. Pancs, Romans & Vriend, Nicolaas J., 2007. "Schelling's spatial proximity model of segregation revisited," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 1-24, February.
    2. Federico Echenique & Roland G. Fryer Jr., 2005. "On the Measurement of Segregation," Labor and Demography 0503006, EconWPA.
    3. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
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    Cited by:

    1. Murat Yildizoglu & Nicolas Carayol & Pascale Roux, 2005. "Coordination Failures in Network Formation," Post-Print hal-00160385, HAL.
    2. Estelle Dhont-Peltrault & Etienne Pfister, 2007. "R&D cooperation versus R&D subcontracting: empirical evidence from French survey data," Working Papers of BETA 2007-17, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    3. Gisèle Umbhauer, 2007. "De l’amiante au chrysotile, un glissement stratégique dans la désinformation," Working Papers of BETA 2007-15, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    4. Junfu Zhang, 2011. "Tipping And Residential Segregation: A Unified Schelling Model," Journal of Regional Science, Wiley Blackwell, vol. 51(1), pages 167-193, February.
    5. Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2007. "Dynamic Models of Segregation in Small-World Networks," Working Papers 589, Queen Mary University of London, School of Economics and Finance.
    6. Grauwin, Sébastian & Goffette-Nagot, Florence & Jensen, Pablo, 2012. "Dynamic models of residential segregation: An analytical solution," Journal of Public Economics, Elsevier, vol. 96(1), pages 124-141.
    7. repec:spr:jogath:v:46:y:2017:i:1:d:10.1007_s00182-015-0526-2 is not listed on IDEAS
    8. Jalal EL OUARDIGHI & Rabija SOMUN-KAPETANOVIC, 2006. "Convergence des contributions aux inégalités de richesse dans le développement des pays européens," Working Papers of BETA 2006-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    9. Rachel Levy & Paul Muller, 2006. "Do academic laboratories correspond to scientific communities? Evidence from a large European university," Working Papers of BETA 2006-15, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    10. Sofia Pessoa e Costa & Stéphane Robin, 2007. "The Impact Of Training Programmes On Wages In France: An Evaluation Of The “Qualifying Contract” Using Propensity Scores," Working Papers of BETA 2007-18, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    11. Meixing DAI, 2007. "A two-pillar strategy to keep inflation expectations at bay: A basic theoretical framework," Working Papers of BETA 2007-20, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    12. Meixing DAI & Moïse SIDIROPOULOS & Eleftherios SPYROMITROS, 2007. "La transparence de la politique monétaire et la dynamique des marchés financiers," Working Papers of BETA 2007-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    13. Florence Goffette-Nagot & Pablo Jensen & Sebastian Grauwin, 2009. "Dynamic models of residential segregation: Brief review, analytical resolution and study of the introduction of coordination," Post-Print halshs-00404400, HAL.
    14. Nicolas Carayol & Pascale Roux, 2006. "A strategic model of complex networks formation," Working Papers of BETA 2006-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    15. Tapas K. Mishra, 2006. "A Further Look into the Demography-based GDP Forecasting Method," Working Papers of BETA 2006-17, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    16. Li Qin & Eleftherios Spyromitros & Moïse Sidiropoulos, 2007. "Monetary Policy with Uncertain Central Bank Preferences for Robustness," Working Papers of BETA 2007-23, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    17. Laura Gardini & Davide Radi, 2018. "A piecewise smooth model of evolutionary game for residential mobility and segregation," Working Papers 1802, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2018.

    More about this item

    Keywords

    Spatial proximity model; Social segregation; Schelling; Proximity preferences; Social networks; Undirected graphs; Best-response dynamics;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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