A dynamical systems model of unorganized segregation in two neighborhoods. Issue 4 (1st October 2020)

• Record Type: Journal Article
• Authors: Haw, D. J.; Hogan, S. J.
• Is Part Of: Journal of mathematical sociology. Volume 44:Issue 4(2020)
• Page Start: 221
• Page End: 248
• Publication Date: 2020-10-01
• Subjects: Unorganized Segregation -- Schelling -- Bounded Neighbourhood Model -- Dynamical System; Sociology -- Periodicals; Sociology -- Mathematical models -- Periodicals; 301.0151
• DOI: 10.1080/0022250X.2019.1695608
• Languages: English
• ISSNs: 0022-250X

Abstract

ABSTRACT: We present a complete analysis of the Schelling dynamical system of two connected neighborhoods, with or without population reservoirs, for different types of linear and nonlinear tolerance schedules. We show that stable integration is only possible when the minority is small and combined tolerance is large. Unlike the case of the single neighborhood, limiting one population does not necessarily produce stable integration and may destroy it. We conclude that a growing minority can only remain integrated if the majority increases its own tolerance. Our results show that an integrated single neighborhood may not remain so when a connecting neighborhood is created.