Exponential Segregation in a Two-Dimensional Schelling Model with Tolerant Individuals
Computer Science and Game Theory
2017-03-13 v2
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.
Cite
@article{arxiv.1511.02537,
title = {Exponential Segregation in a Two-Dimensional Schelling Model with Tolerant Individuals},
author = {Nicole Immorlica and Robert Kleinberg and Brendan Lucier and Morteza Zadimoghaddam},
journal= {arXiv preprint arXiv:1511.02537},
year = {2017}
}