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arXiv · 1511.02537

Exponential Segregation in a Two-Dimensional Schelling Model with Tolerant Individuals

Nicole Immorlica·Robert Kleinberg·Brendan Lucier·Morteza Zadimoghaddam
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Abstract

We prove that the two-dimensional Schelling segregation model yields monochromatic regions of size exponential in the area of individuals' neighborhoods, provided that the tolerance parameter is a constant strictly less than 1/2 but sufficiently close to it. Our analysis makes use of a connection with the first-passage percolation model from the theory of stochastic processes.

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Nicole Immorlica, Robert Kleinberg, Brendan Lucier, Morteza Zadimoghaddam. 2015-11-08. Exponential Segregation in a Two-Dimensional Schelling Model with Tolerant Individuals. https://arxiv.org/abs/1511.02537

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