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Theoretical investigation on the Schelling's critical neighborhood demand

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.

preprint2014arXivOpen access
Jae Kyun ShinHiroki Sayama
physics.soc-phnlin.AOPopulations and Evolution
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Jae Kyun ShinHiroki Sayama

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