Theoretical investigation on the Schelling's critical neighborhood demand
Adaptation and Self-Organizing Systems
2014-02-07 v1 Physics and Society
Populations and Evolution
Abstract
We derived the critical neighborhood demand in the Schelling's segregation model by studying the conditions for which a chain reaction of migrations of unsatisfied agents occurs. The essence of Schelling dynamics was approximated in two simplified models: (1) a random walk model for the initial stage of the migrations to illustrate the power-law behavior of chain reaction lengths under critical conditions, and (2) a two-room model for the whole process to represent a non-spatial version of segregation dynamics in the Schelling model. Our theoretical results showed good agreements with numerical results obtained from agent-based simulations.
Keywords
Cite
@article{arxiv.1402.1229,
title = {Theoretical investigation on the Schelling's critical neighborhood demand},
author = {Jae Kyun Shin and Hiroki Sayama},
journal= {arXiv preprint arXiv:1402.1229},
year = {2014}
}
Comments
15 pages, 6 figures