A unified framework for Schelling's model of segregation

Abstract

Schelling's model of segregation is one of the first and most influential models in the field of social simulation. There are many variations of the model which have been proposed and simulated over the last forty years, though the present state of the literature on the subject is somewhat fragmented and lacking comprehensive analytical treatments. In this article a unified mathematical framework for Schelling's model and its many variants is developed. This methodology is useful in two regards: firstly, it provides a tool with which to understand the differences observed between models; secondly, phenomena which appear in several model variations may be understood in more depth through analytic studies of simpler versions.

21 pages, 3 figures

References in corpus (7)

• Competition between collective and individual dynamics
• Ising, Schelling and Self-Organising Segregation
• Phase diagram of a Schelling segregation model
• Statistical physics of the Schelling model of segregation
• Residential segregation and cultural dissemination: An Axelrod-Schelling model
• Schelling segregation in an open city: a kinetically constrained Blume-Emery-Griffiths spin-1 system
• Maximum-entropy moment-closure for stochastic systems on networks

Cited by in corpus (8)

• Dynamics of Transformation from Segregation to Mixed Wealth Cities
• Aging effects in Schelling Segregation model
• A Schelling model with switching agents: decreasing segregation via random allocation and social mobility
• Voter models with conserved dynamics
• Mobility constraints in segregation models
• Jamming and pattern formation in models of segregation
• Diversity-seeking Jump Games in Networks
• Continuous utility factor in segregation models