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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

We study the behaviour of a Schelling-class system in which a fraction $f$ of spatially-fixed switching agents is introduced. This new model allows for multiple interpretations, including: (i) random, non-preferential allocation…

Statistical Mechanics · Physics 2014-04-02 Aurélien Hazan , Julien Randon-Furling

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

Schelling's segregation model is a landmark model in sociology. It shows the counter-intuitive phenomenon that residential segregation between individuals of different groups can emerge even when all involved individuals are tolerant.…

Computer Science and Game Theory · Computer Science 2018-10-22 Ankit Chauhan , Pascal Lenzner , Louise Molitor

Since the development of the original Schelling model of urban segregation, several enhancements have been proposed, but none have considered the impact of mobility constraints on model dynamics. Recent studies have shown that human…

Physics and Society · Physics 2023-09-26 Daniele Gambetta , Giovanni Mauro , Luca Pappalardo

In Schelling's segregation model, the successive moves of agents optimizing their own locations lead to a suboptimal segregated distribution of the population, even though all agents have the same preference for mixed neighborhoods. One of…

Physics and Society · Physics 2019-11-20 Nicolas Houy

The Schelling model of segregation between two groups of residential agents (Schelling 1971; Schelling 1978) reflects the most abstract view of the non-economic forces of residential migrations: be close to people of 'your own'. The model…

Physics and Society · Physics 2009-10-14 Itzhak Benenson , Erez Hatna

The phenomenon of residential segregation was captured by Schelling's famous segregation model where two types of agents are placed on a grid and an agent is content with her location if the fraction of her neighbors which have the same…

Computer Science and Game Theory · Computer Science 2019-07-18 Hagen Echzell , Tobias Friedrich , Pascal Lenzner , Louise Molitor , Marcus Pappik , Friedrich Schöne , Fabian Sommer , David Stangl

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 Schelling model is a prototype for agent-based modeling in social systems. We produce a comprehensive analysis of Schelling model rule variants by classifying the space of macroscopic outcomes using phase diagrams. Among 54 rule…

Statistical Mechanics · Physics 2026-05-19 Marlyn Boke , Timothy Sorochkin , Jesse Anttila-Hughes , Alan O. Jamison

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

In Schelling's segregation model agents of two ethnic groups reside in a regular grid and aim to live in a neighborhood that matches the minimum desired fraction of members of the same ethnicity. The model shows that observed segregation…

Physics and Society · Physics 2018-09-06 Rocco Paolillo , Jan Lorenz

We model the dynamics of the Schelling model for agents described simply by a continuously distributed variable - wealth. Agents move to neighborhoods where their wealth is not lesser than that of some proportion of their neighbors, the…

Physics and Society · Physics 2017-05-23 Anand Sahasranaman , Henrik Jeldtoft Jensen

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

We investigate the Schelling model of social segregation, formulated as an intrinsically non-equilibrium system, in which the agents occupy districts (or patches) rather than sites on a grid. We show that this allows the equations governing…

Statistical Mechanics · Physics 2012-04-25 Tim Rogers , Alan J. McKane

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

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

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…

Adaptation and Self-Organizing Systems · Physics 2014-02-07 Jae Kyun Shin , Hiroki Sayama

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

We investigate the static and dynamic properties of a celebrated model of social segregation, providing a complete explanation of the mechanisms leading to segregation both in one- and two-dimensional systems. Standard statistical physics…

Physics and Society · Physics 2009-11-13 Luca Dall'Asta , Claudio Castellano , Matteo Marsili
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