Theoretical investigation on the Schelling's critical neighborhood demand

Jae Kyun Shin*, Hiroki Sayama

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1417-1423
Number of pages7
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number5
Publication statusPublished - 2014 May
Externally publishedYes


  • Critical neighborhood demand
  • Random walk
  • Schelling's model
  • Two-room model

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics


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