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Related papers: Urban skylines from Schelling model

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Scaling has been proposed as a powerful tool to analyze the properties of complex systems, and in particular for cities where it describes how various properties change with population. The empirical study of scaling on a wide range of…

Physics and Society · Physics 2018-04-18 Jules Depersin , Marc Barthelemy

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 consider a metapopulation version of the Schelling model of segregation over several complex networks and lattice. We show that the segregation process is topology independent and hence it is intrinsic to the individual tolerance. The…

Physics and Society · Physics 2016-06-29 Yerali Gandica , Floriana Gargiulo , Timoteo Carletti

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

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

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 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

Urban street networks of unplanned or self-organized cities typically exhibit astonishing scale-free patterns. This scale-freeness can be shown, within the maximum entropy formalism (MaxEnt), as the manifestation of a fluctuating system…

Physics and Society · Physics 2021-05-04 Jerome Benoit , Saif Eddin Jabari

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 model of segregation demonstrates that even in the absence of social or governmental interventions, individuals with mild in-group preferences can self-organize into strongly segregated neighborhoods. Many variants of this…

Physics and Society · Physics 2026-02-11 Fabio van Dissel , Tuan Minh Pham , Wout Merbis

Segregation is a growing concern around the world. One of its main manifestations is the creation of ghettos, whose inhabitants have difficult access to well-paid jobs, which are often located far from their homes. In order to study this…

Physics and Society · Physics 2025-12-23 D. Ortega , E. Korutcheva

We consider a metapopulation model of cholera describing explicitly the movement of individuals and contaminated water between locations as well as a simple vaccination mechanism. The global stability of the disease-free equilibrium point…

Populations and Evolution · Quantitative Biology 2025-05-26 Abdramane Annour Saad , Julien Arino , Patrick M Tchepmo Djomegni , Mahamat S Daoussa Haggar

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 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

Correlations and other collective phenomena in a schematic model of heterogeneous binary agents (individual spin-glass samples) are considered on the complete graph and also on 2d and 3d regular lattices. The system's stochastic dynamics is…

Disordered Systems and Neural Networks · Physics 2014-02-25 Imre Kondor , István Csabai , Gábor Papp , Enys Mones , Gábor Czimbalmos , Máté Csaba Sándor

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

The spatial structure of modern cities exhibits highly diverse patterns and keeps evolving under numerous constraints. Two key dimensions have recently achieved prominence in characterizing this diversity: heterogeneity and spreading.…

Physics and Society · Physics 2021-06-30 Bohdan Slavko , Kirill Glavatskiy , Mikhail Prokopenko

Understanding quantitative relationships between urban elements is crucial for a wide range of applications. The observation at the macroscopic level demonstrates that the aggregated urban quantities (e.g., gross domestic product) scale…

Physics and Society · Physics 2021-01-26 Lei Dong , Zhou Huang , Jiang Zhang , Yu Liu

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

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu