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A Schelling model with a variable threshold in a closed city segregation model. Analysis of the universality classes

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  • Ortega, Diego
  • Rodríguez-Laguna, Javier
  • Korutcheva, Elka

Abstract

Residential segregation is analyzed via the Schelling model, in which two types of agents attempt to optimize their situation according to certain preferences and tolerance levels. Several variants of this work are focused on urban or social aspects. Whereas these models consider fixed values for wealth or tolerance, here we consider how sudden changes in the tolerance level affect the urban structure in the closed city model. In this framework, when tolerance decreases continuously, the change rate is a key parameter for the final state reached by the system. On the other hand, sudden drops in tolerance tend to group agents into clusters whose boundary can be characterized using tools from kinetic roughening. This frontier can be categorized into the Edwards–Wilkinson (EW) universality class. Likewise, the understanding of these processes and how society adapts to tolerance variations are of the utmost importance in a world where migratory movements and pro-segregational attitudes are commonplace.

Suggested Citation

  • Ortega, Diego & Rodríguez-Laguna, Javier & Korutcheva, Elka, 2021. "A Schelling model with a variable threshold in a closed city segregation model. Analysis of the universality classes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
  • Handle: RePEc:eee:phsmap:v:574:y:2021:i:c:s037843712100282x
    DOI: 10.1016/j.physa.2021.126010
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    References listed on IDEAS

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    1. L. Gauvin & J. Vannimenus & J.-P. Nadal, 2009. "Phase diagram of a Schelling segregation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(2), pages 293-304, July.
    2. Floriana Gargiulo & Yerali Gandica & Timoteo Carletti, 2017. "Emergent Dense Suburbs In A Schelling Metapopulation Model: A Simulation Approach," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-17, February.
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    1. Ortega, Diego & Rodríguez-Laguna, Javier & Korutcheva, Elka, 2022. "Segregation in spatially structured cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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