Theoretical investigation on the Schelling's critical neighborhood demand

Jae Kyun Shin; Hiroki Sayama

doi:10.1016/j.cnsns.2013.08.038

Theoretical investigation on the Schelling's critical neighborhood demand

Jae Kyun Shin, Hiroki Sayama

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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
Pages (from-to)	1417-1423
Number of pages	7
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	19
Issue number	5
DOIs	https://doi.org/10.1016/j.cnsns.2013.08.038
Publication status	Published - 2014 May 1
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

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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.",

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AU - Sayama, Hiroki

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AB - 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.

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