English

A unified framework for Schelling's model of segregation

Physics and Society 2015-03-19 v2 Statistical Mechanics Social and Information Networks

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.

Keywords

Cite

@article{arxiv.1104.1971,
  title  = {A unified framework for Schelling's model of segregation},
  author = {Tim Rogers and Alan J. McKane},
  journal= {arXiv preprint arXiv:1104.1971},
  year   = {2015}
}

Comments

21 pages, 3 figures

R2 v1 2026-06-21T17:52:24.666Z