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

Diego Ortega, Javier Rodríguez-Laguna and Elka Korutcheva

Physica A: Statistical Mechanics and its Applications, 2021, vol. 574, issue C

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.

Keywords: Sociophysics; Schelling model; Roughness; Edward–Wilkinson (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:574:y:2021:i:c:s037843712100282x

DOI: 10.1016/j.physa.2021.126010

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