谢林临界邻里需求的理论考察
Theoretical investigation on the Schelling's critical neighborhood demand
摘要:
我们通过研究不满足的代理迁移的链式反应发生的条件,导出了谢林隔离模型中的临界邻域需求。Schelling动力学的本质近似于两个简化模型:(1)一个随机行走模型的初始阶段的迁移,以说明幂律行为的链式反应长度在临界条件下,和(2)两个房间的模型的整个过程中表示的非空间版本的Schelling模型中的分离动力学。我们的理论结果显示出良好的协议与基于代理的模拟得到的数值结果。
英文摘要:
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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