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Dynamic Models of Segregation in Small-World Networks

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  • Giorgio Fagiolo

    ()
    (Sant'Anna School of Advanced Studies, Pisa)

  • Marco Valente

    ()
    (University of L'Aquila)

  • Nicolaas J. Vriend

    ()
    (Queen Mary, University of London)

Abstract

Schelling (1969, 1971a,b, 1978) considered a simple proximity model of segregation where individual agents only care about the types of people living in their own local geographical neighborhood, the spatial structure being represented by one- or two-dimensional lattices. In this paper, we argue that segregation might occur not only in the geographical space, but also in social environments. Furthermore, recent empirical studies have documented that social interaction structures are well-described by small-world networks. We generalize Schelling's model by allowing agents to interact in small-world networks instead of regular lattices. We study two alternative dynamic models where agents can decide to move either arbitrarily far away (global model) or are bound to choose an alternative location in their social neighborhood (local model). 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. Thus, Schelling's original results seem to be robust to the structural properties of the network.

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Bibliographic Info

Paper provided by Queen Mary, University of London, School of Economics and Finance in its series Working Papers with number 589.

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Date of creation: Mar 2007
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Handle: RePEc:qmw:qmwecw:wp589

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Keywords: Spatial proximity model; Social segregation; Schelling; Proximity preferences; Social networks; Small worlds; Scale-free networks; Best-response dynamics;

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  1. Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005. "Segregation in Networks," LEM Papers Series 2005/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  2. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
  3. Federico Echenique & Roland G. Fryer, Jr., 2005. "On the Measurement of Segregation," NBER Working Papers 11258, National Bureau of Economic Research, Inc.
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Cited by:
  1. Sebastian Grauwin & Florence Goffette-Nagot & Pablo Jensen, 2010. "Dynamic models of residential segregation : an analytical solution," Working Papers 1017, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.

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