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.
Original language | English |
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Pages (from-to) | 1417-1423 |
Number of pages | 7 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 19 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2014 May |
Externally published | Yes |
Keywords
- Critical neighborhood demand
- Random walk
- Schelling's model
- Two-room model
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics