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Random–Walk–Based Segregation Measures

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  • Marc Vorsatz
  • Pablo Coralio Ballester

Abstract

In this paper, we propose an intuitive way of how to measure residential segregation. Individuals are located in different nodes on a network that are interconnected through links. Each period, an individual either advances to an adjacent node or she stops moving. In this setting, the segregation index is then defined as the probability that a randomly chosen individual meets an individual of the same social group in the neighborhood where her random-walk terminates. It is shown in a dual theorem that the segregation index is as a natural generalization of the isolation index to networks and that it is proportional to the PageRank index applied by Google in order to determine the importance of web-pages. Finally, the segregation index is applied to the Spanish 2009 census tract data and compared with other prominent measures.

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Paper provided by FEDEA in its series Working Papers with number 2010-30.

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Date of creation: Nov 2010
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Handle: RePEc:fda:fdaddt:2010-30

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  1. Cutler, David M & Glaeser, Edward L, 1997. "Are Ghettos Good or Bad?," The Quarterly Journal of Economics, MIT Press, vol. 112(3), pages 827-72, August.
  2. Fryer, Roland & Echenique, Federico, 2007. "A Measure of Segregation Based on Social Interactions," Scholarly Articles 2958220, Harvard University Department of Economics.
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Cited by:
  1. Gauvin, Laetitia & Vignes, Annick & Nadal, Jean-Pierre, 2013. "Modeling urban housing market dynamics: Can the socio-spatial segregation preserve some social diversity?," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1300-1321.
  2. Casilda Lasso de la Vega & Oscar Volij, 2013. "Segregation, Informativeness And Lorenz Dominance," Working Papers 1312, Ben-Gurion University of the Negev, Department of Economics.

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