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 | |
| Publication status | Published - 2014 May |
| Externally published | Yes |
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Keywords
- Critical neighborhood demand
- Random walk
- Schelling's model
- Two-room model
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics
Cite this
Theoretical investigation on the Schelling's critical neighborhood demand. / Shin, Jae Kyun; Sayama, Hiroki.
In: Communications in Nonlinear Science and Numerical Simulation, Vol. 19, No. 5, 05.2014, p. 1417-1423.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Theoretical investigation on the Schelling's critical neighborhood demand
AU - Shin, Jae Kyun
AU - Sayama, Hiroki
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
UR - http://www.scopus.com/inward/record.url?scp=84887816842&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84887816842&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2013.08.038
DO - 10.1016/j.cnsns.2013.08.038
M3 - Article
AN - SCOPUS:84887816842
VL - 19
SP - 1417
EP - 1423
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
SN - 1007-5704
IS - 5
ER -