A fuzzy set extension of Schelling’s spatial segregation model

Atsushi Ishida ()
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Atsushi Ishida: Kwansei Gakuin University

Journal of Computational Social Science, 2024, vol. 7, issue 1, No 5, 125-144

Abstract: Abstract This study explores a possible segregation mechanism assuming fuzzy group membership. We construct a fuzzy set extension of Schelling’s spatial segregation model. In the fuzzy Schelling model, each agent is assumed to have fuzzy membership in groups, which is typically assumed to represent the strength of the agent’s group identity. The model assumes that agents want to be with agents with the same or stronger (less fuzzy) group identity than themselves. Agents decide whether to stay or move depending on whether their neighborhood satisfies their desires. Analyzing a series of simulations reveals that: First, the fuzzy Schelling model can reproduce segregation at the macro level; here, segregation is formed by the accumulation of agents’ modest desires and actions. This is the most important property of the Schelling model. Second, agents’ behavior and situation differ depending on the fuzziness of their membership. Notably, agents with less fuzzy membership play an important role in the system’s equilibrium. Third, the tendency to reach equilibrium differs depending on the density of the space, required similarity level in the neighborhood, and initial distribution of membership values. Finally, we discuss the implications of the results.

Keywords: Segregation; Schelling model; Fuzzy set; Group identity (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s42001-023-00234-7

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