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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

Social distance games have been extensively studied as a coalition formation model where the utilities of agents in each coalition were captured using a utility function $u$ that took into account distances in a given social network. In…

Computer Science and Game Theory · Computer Science 2023-12-14 Robert Ganian , Thekla Hamm , Dušan Knop , Sanjukta Roy , Šimon Schierreich , Ondřej Suchý

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

We explore extensions of Schelling's model of social dynamics, in which two types of agents live on a checkerboard lattice and move in order to optimize their own satisfaction, which depends on how many agents among their neighbors are of…

Statistical Mechanics · Physics 2020-01-24 A. P. Vieira , E. Goles , H. J. Herrmann

We introduce the class of modified Schelling games in which there are different types of agents who occupy the nodes of a location graph; agents of the same type are friends, and agents of different types are enemies. Every agent is…

Computer Science and Game Theory · Computer Science 2020-05-26 Panagiotis Kanellopoulos , Maria Kyropoulou , Alexandros A. Voudouris

Social distance games have been extensively studied as a coalition formation model where the utilities of agents in each coalition were captured using a utility function u that took into account distances in a given social network. In this…

Computer Science and Game Theory · Computer Science 2023-07-12 Robert Ganian , Thekla Hamm , Dušan Knop , Sanjukta Roy , Šimon Schierreich , Ondřej Suchý

Agent-based models of residential segregation have been of persistent interest to various research communities since their origin with James Sakoda and popularization by Thomas Schelling. Frequently, these models have sought to elucidate…

Physics and Society · Physics 2025-05-14 Will Deter , Hiroki Sayama

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

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 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 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

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

We introduce an agent-based model for the spreading of technological developments in socio-economic systems where the technology is mainly used for the collaboration/interaction of agents. Agents use products of different technologies to…

Physics and Society · Physics 2009-11-13 Ferenc Kun , Gergely Kocsis , Janos Farkas

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

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

We investigate the dependence of steady-state properties of Schelling's segregation model on the agents' activation order. Our basic formalism is the Pollicott-Weiss version of Schelling's segregation model. Our main result modifies this…

Computer Science and Game Theory · Computer Science 2018-07-17 Gabriel Istrate

Schelling's famous model of segregation assumes agents of different types who would like to be located in neighborhoods having at least a certain fraction of agents of the same type. We consider natural generalizations that allow for the…

Computer Science and Game Theory · Computer Science 2021-05-07 Panagiotis Kanellopoulos , Maria Kyropoulou , Alexandros A. Voudouris

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

Contrary to the widely believed hypothesis that larger, denser cities promote socioeconomic mixing, a recent study (Nilforoshan et al. 2023) reports the opposite behavior, i.e. more segregation. Here, we present a game-theoretic model that…

Physics and Society · Physics 2024-03-08 Venkat Venkatasubramanian , Jessica Shi , Leo Goldman , Arun Sankar E. M. , Abhishek Sivaram

Residential segregation in metropolitan areas is a phenomenon that can be observed all over the world. Recently, this was investigated via game-theoretic models. There, selfish agents of two types are equipped with a monotone utility…

Computer Science and Game Theory · Computer Science 2022-05-11 Davide Bilò , Vittorio Bilò , Pascal Lenzner , Louise Molitor