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

^*Corresponding author for this work

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
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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10.1016/j.cnsns.2013.08.038

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title = "Theoretical investigation on the Schelling's critical neighborhood demand",

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 = "Critical neighborhood demand, Random walk, Schelling's model, Two-room model",

author = "Shin, {Jae Kyun} and Hiroki Sayama",

note = "Funding Information: This research was supported by the Yeungnam University research grants in 2012. ",

year = "2014",

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doi = "10.1016/j.cnsns.2013.08.038",

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T1 - Theoretical investigation on the Schelling's critical neighborhood demand

AU - Shin, Jae Kyun

AU - Sayama, Hiroki

N1 - Funding Information: This research was supported by the Yeungnam University research grants in 2012.

PY - 2014/5

Y1 - 2014/5

N2 - 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.

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.

KW - Critical neighborhood demand

KW - Random walk

KW - Schelling's model

KW - Two-room model

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

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Theoretical investigation on the Schelling's critical neighborhood demand

Abstract

Keywords

ASJC Scopus subject areas

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