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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 of segregation was introduced in economics to show how micro-motives can influence macro-behavior. Agents on a lattice have two colors and try to move to a different location if the number of their neighbors with a…

Adaptation and Self-Organizing Systems · Physics 2022-10-11 Zhanzhan Zhao , Dana Randall

We present a complete analysis of the Schelling dynamical system [Haw2018] of two connected neighbourhoods, with or without population reservoirs, for different types of linear and nonlinear tolerance schedules. We show that stable…

Adaptation and Self-Organizing Systems · Physics 2019-07-04 D. J. Haw , S. J. Hogan

Urban displacement - when a household is forced to relocate due to conditions affecting its home or surroundings - often results from rising housing costs, particularly in wealthy, prosperous cities. However, its dynamics are complex and…

Physics and Society · Physics 2018-08-29 Geoff Boeing

We extend our model of wealth segregation to incorporate migration and study the tendencies towards dual segregation - segregation due to identity (migrants vs. residents) and segregation due to wealth. We find a sharp, non-linear…

Physics and Society · Physics 2019-09-11 Anand Sahasranaman , Henrik Jeldtoft Jensen

Schelling games use a game-theoretic approach to study the phenomenon of residential segregation as originally modeled by Schelling. Inspired by the recent increase in the number of people and businesses preferring and promoting diversity,…

Computer Science and Game Theory · Computer Science 2025-02-20 Yaqiao Li , Lata Narayanan , Jaroslav Opatrny , Yi Tian Xu

In this paper we study the effects of constraints on the dynamics of an adaptive segregation model introduced by Bischi and Merlone (2011). The model is described by a two dimensional piecewise smooth dynamical system in discrete time. It…

Dynamical Systems · Mathematics 2015-06-19 D. Radi , L. Gardini , V. Avrutin

Segregation affects millions of urban dwellers. The main expression of this reality is the creation of ghettos which are city parts characterized by a combination of features: low income, poor cultural level... Segregation models have been…

Physics and Society · Physics 2022-10-25 Diego Ortega , Elka Korutcheva

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

Schelling games model the wide-spread phenomenon of residential segregation in metropolitan areas from a game-theoretic point of view. In these games agents of different types each strategically select a node on a given graph that models…

Computer Science and Game Theory · Computer Science 2023-02-24 Tobias Friedrich , Pascal Lenzner , Louise Molitor , Lars Seifert

Scaling laws are powerful summaries of the variations of urban attributes with city size. However, the validity of their universal meaning for cities is hampered by the observation that different scaling regimes can be encountered for the…

Physics and Society · Physics 2016-06-15 Clementine Cottineau , Erez Hatna , Elsa Arcaute , Michael Batty

A model of the urban agglomeration and segregation is formulated, in which two types of agents move around on the square-lattice aligned cells. The model is shown to exhibit, when the density of agents are varied as the control parameter,…

Physics and Society · Physics 2023-07-24 Taksu Cheon , Michikazu Kobayashi

Schelling segregation is a well-established model used to investigate the dynamics of segregation in agent-based models. Since we consider segregation to be key for the development of political polarisation, we are interested in what…

Social and Information Networks · Computer Science 2025-06-27 Sage Anastasi , Giulio Dalla Riva

Schelling's model is an influential model that reveals how individual perceptions and incentives can lead to residential segregation. Inspired by a recent stream of work, we study welfare guarantees and complexity in this model with respect…

Computer Science and Game Theory · Computer Science 2022-03-21 Martin Bullinger , Warut Suksompong , Alexandros A. Voudouris

In this paper we analyze urban spatial segregation phenomenon in terms of the income distribution over a population, and inflationary parameter weighting the evolution of housing prices. For this, we develop a discrete, spatially extended…

Adaptation and Self-Organizing Systems · Physics 2007-08-29 Antonio Aguilera , Edgardo Ugalde

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

Leveraging Large Language Models (LLMs) for social simulation is a frontier in computational social science. Understanding the social logics these agents embody is critical to this attempt. However, existing research has primarily focused…

Artificial Intelligence · Computer Science 2025-09-29 Haoyang Li , Xiao Jia , Zhanzhan Zhao

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

Understanding urban mobility requires models that capture how people interact with and navigate the built environment. We present a scalable, generalizable agent-based framework in which daily schedules emerge from the interplay between…

Physics and Society · Physics 2026-01-30 Sandro M. Reia , Henrique F. de Arruda , Shiyang Ruan , Taylor Anderson , Hamdi Kavak , Dieter Pfoser

Analyses of urban scaling laws assume that observations in different cities are independent of the existence of nearby cities. Here we introduce generative models and data-analysis methods that overcome this limitation by modelling…

Physics and Society · Physics 2021-01-21 Eduardo G. Altmann