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Related papers: Scaling limits of the Schelling model

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The Schelling model of segregation looks to explain the way in which a population of agents or particles of two types may come to organise itself into large homogeneous clusters, and can be seen as a variant of the Ising model in which the…

Discrete Mathematics · Computer Science 2015-08-13 George Barmpalias , Richard Elwes , Andy Lewis-Pye

Schelling's model of segregation, first described in 1969, has become one of the best known models of self-organising behaviour. While Schelling's explicit concern was to understand the mechanisms underlying racial segregation in large…

Multiagent Systems · Computer Science 2016-09-12 George Barmpalias , Richard Elwes , Andy Lewis-Pye

Thomas Schelling proposed an influential simple spatial model to illustrate how, even with relatively mild assumptions on each individual's nearest neighbor preferences, an integrated city would likely unravel to a segregated city, even if…

Adaptation and Self-Organizing Systems · Physics 2007-11-15 Abhinav Singh , Dmitri Vainchtein , Howard Weiss

Thomas Schelling developed an influential demographic model that illustrated how, even with relatively mild assumptions on each individual's nearest neighbor preferences, an integrated city would likely unravel to a segregated city, even if…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Abhinav Singh , Dmitri Vainchtein , Howard Weiss

We propose a metapopulation version of the Schelling model where two kinds of agents relocate themselves, with unconstrained destination, if their local fitness is lower than a tolerance threshold. We show that, for small values of the…

Physics and Society · Physics 2015-05-05 Floriana Gargiulo , Yerali Gandica , Timoteo Carletti

Residential segregation is analyzed via the Schelling model, in which two types of agents attempt to optimize their situation according to certain preferences and tolerance levels. Several variants of this work are focused on urban or…

Physics and Society · Physics 2021-04-20 Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva

One of the earliest agent-based economical models, Schelling's spacial proximity model illustrated how global segregation can emerge, often unwanted, from the actions of agents of two races acting in accordance with their individual local…

Computer Science and Game Theory · Computer Science 2014-06-13 George Barmpalias , Richard Elwes , Andy Lewis-Pye

The Schelling model is a simple agent based model that demonstrates how individuals' relocation decisions generate residential segregation in cities. Agents belong to one of two groups and occupy cells of rectangular space. Agents react to…

Physics and Society · Physics 2014-06-25 Erez Hatna , Itzhak Benenson

In the 70's Schelling introduced a multi-agent model to describe the segregation dynamics that may occur with individuals having only weak preferences for 'similar' neighbors. Recently variants of this model have been discussed, in…

Physics and Society · Physics 2015-05-18 L. Gauvin , J. -P. Nadal , J. Vannimenus

We analyze the Schelling model of segregation in which a society of n individuals live in a ring. Each individual is one of two races and is only satisfied with his location so long as at least half his 2w nearest neighbors are of the same…

Computer Science and Game Theory · Computer Science 2012-03-30 Christina Brandt , Nicole Immorlica , Gautam Kamath , Robert Kleinberg

We consider an infinite-dimensional stochastic clustering model on $\mathbb{R}$. In discrete time, each point of a unit-intensity simple point process moves halfway toward either of its left or right neighbors, chosen uniformly at random.…

Probability · Mathematics 2026-03-10 Partha S. Dey , S. Rasoul Etesami , Aditya S. Gopalan

In most major cities and urban areas, residents form homogeneous neighborhoods along ethnic or socioeconomic lines. This phenomenon is widely known as residential segregation and has been studied extensively. Fifty years ago, Schelling…

Computer Science and Game Theory · Computer Science 2023-05-12 Davide Bilò , Vittorio Bilò , Michelle Döring , Pascal Lenzner , Louise Molitor , Jonas Schmidt

We consider Schelling's bounded neighbourhood model (BNM) of unorganised segregation of two populations from the perspective of modern dynamical systems theory. We derive a Schelling dynamical system and carry out a complete quantitative…

Adaptation and Self-Organizing Systems · Physics 2017-09-25 D. J. Haw , S. J. Hogan

Schelling's model of segregation looks to explain the way in which particles or agents of two types may come to arrange themselves spatially into configurations consisting of large homogeneous clusters, i.e.\ connected regions consisting of…

Computer Science and Game Theory · Computer Science 2015-08-12 George Barmpalias , Richard Elwes , Andy Lewis-Pye

In his 1971's Dynamic Models of Segregation paper, the economist Thomas C. Schelling showed that a small preference for one's neighbors to be of the same color could lead to total segregation, even if total segregation does not correspond…

Physics and Society · Physics 2009-07-13 S. Grauwin , F. Goffette-Nagot , P. Jensen

Schelling's model of segregation is one of the first and most influential models in the field of social simulation. There are many variations of the model which have been proposed and simulated over the last forty years, though the present…

Physics and Society · Physics 2015-03-19 Tim Rogers , Alan J. McKane

The Cluster-cluster model was introduced by Meakin et al in 1984. Each $x\in \mathbb{Z}^d$ starts with a cluster of size 1 with probability $p \in (0,1]$ independently. Each cluster $C$ performs a continuous-time SRW with rate…

Probability · Mathematics 2025-07-08 Noam Berger , Eviatar B. Procaccia , Daniel Sharon

The collective behavior in a variant of Schelling's segregation model is characterized with methods borrowed from statistical physics, in a context where their relevance was not conspicuous. A measure of segregation based on cluster…

Physics and Society · Physics 2012-02-22 Laetitia Gauvin , Jean Vannimenus , Jean-Pierre Nadal

The Schelling model has become a paradigm in social sciences to explain the emerge of residential spatial segregation even in the presence of high tolerance to mixed neighborhoods by the side of citizens. In particular, we consider a noisy…

Physics and Society · Physics 2022-11-28 David Abella , Maxi San Miguel , José J. Ramasco

Half of the world population resides in cities and urban segregation is becoming a global issue. One of the best known attempts to understand it is the Schelling model, which considers two types of agents that relocate whenever a transfer…

Physics and Society · Physics 2022-11-09 Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva
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