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The footprints of residential segregation have long been documented, yet the role of urban form as both medium and manifestation of segregation remains under-specified. We investigate whether the configuration of the built fabric may encode…

Physics and Society · Physics 2026-04-21 Vinicius M. Netto , Caio Cacholas , Camila Carvalho , Edgardo Brigatti

Traditional approaches to urban income segregation focus on static residential patterns, often failing to capture the dynamic nature of social mixing at the neighborhood level. Leveraging high-resolution location-based data from mobile…

Physics and Society · Physics 2025-09-09 Lavinia Rossi Mori , Vittorio Loreto , Riccardo Di Clemente

Housing markets are inherently spatial, yet many existing models fail to capture this spatial dimension. Here we introduce a new graph-based approach for incorporating a spatial component in a large-scale urban housing agent-based model…

Computational Finance · Quantitative Finance 2021-03-25 Benjamin Patrick Evans , Kirill Glavatskiy , Michael S. Harré , Mikhail Prokopenko

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

Physics and Society · Physics 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

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

Urban systems are characterized by populations with heterogeneous characteristics, and whose spatial distribution is crucial to understand inequalities in life expectancy or education level. Traditional studies on spatial segregation…

Physics and Society · Physics 2023-01-02 Aleix Bassolas , Sergio Gómez , Alex Arenas

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

How does transport cost affect the spatial organization of economic activities? This study develops a theoretical framework that distinguishes between two types of dispersion forces in spatial models: "local" dispersion forces acting within…

General Economics · Economics 2026-03-02 Takashi Akamatsu , Tomoya Mori , Minoru Osawa , Yuki Takayama

We study a recently proposed model in which an odd number of agents are competing to be in the minority. The agents have one strategy in hand which is to follow the most recent history. Each agent is also assigned a value p, which is the…

Condensed Matter · Physics 2009-10-31 P. M. Hui , T. S. Lo , N. F. Johnson

We investigate a model of stratified economic interactions between agents when the notion of spatial location is introduced. The agents are placed on a network with near-neighbor connections. Interactions between neighbors can occur only if…

Physics and Society · Physics 2015-05-20 J. L. Herrera , M. G. Cosenza , K. Tucci

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

We develop a model of the behaviour of a dynamically optimizing economic agent who makes consumption-saving and spatial relocation decisions. We formulate an existence result for the model, derive the necessary conditions for optimality and…

Optimization and Control · Mathematics 2007-05-23 Iordan Iordanov , Andrey Vassilev

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

Urban income segregation is a widespread phenomenon that challenges societies across the globe. Classical studies on segregation have largely focused on the geographic distribution of residential neighborhoods rather than on patterns of…

Social and Information Networks · Computer Science 2020-04-21 Xiaowen Dong , Alfredo J. Morales , Eaman Jahani , Esteban Moro , Bruno Lepri , Burcin Bozkaya , Carlos Sarraute , Yaneer Bar-Yam , Alex Pentland

Cities create potential for individuals from different backgrounds to interact with one another. It is often the case, however, that urban infrastructure obfuscates this potential, creating dense pockets of affluence and poverty throughout…

Physics and Society · Physics 2023-04-21 Nandini Iyer , Ronaldo Menezes , Hugo Barbosa

Policymakers decide on alternative policies facing restricted budgets and uncertain, ever-changing future. Designing public policies is further difficult due to the need to decide on priorities and handle effects across policies. Housing…

Multiagent Systems · Computer Science 2021-10-29 Bernardo Alves Furtado

In this paper, we use a newly constructed dataset to study the geographic distribution of fuel price across the US at a very high resolution. We study the influence of socio-economic variables through different and complementary statistical…

Applications · Statistics 2019-11-22 Antonin Bergeaud , Juste Raimbault

We propose a simple probabilistic model to explain the spatial structure of the rent distribution of housing market in city of Sapporo. Here we modify the mathematical model proposed by Gauvin et. al. Especially, we consider the competition…

Physics and Society · Physics 2014-06-25 Takao Hishikawa , Jun-ichi Inoue

This paper generalizes the original Schelling (1969, 1971a,b, 2006) model of racial and residential segregation to a context of variable externalities due to social linkages. In a setting in which individuals' utility function is a convex…

General Economics · Economics 2023-01-24 Roy Cerqueti , Luca De Benedictis , Valerio Leone Sciabolazza

Economic inequality emerges from the interplay between regional growth-rate differences and the interaction network that couples regions. We propose a minimal income-dynamics model, where heterogeneity is governed by growth-rate…

Statistical Mechanics · Physics 2026-05-14 Jaeseok Hur , Meesoon Ha , Hawoong Jeong