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Addressing issues of social diversity, we introduce a model of housing transactions between agents who are heterogeneous in their willingness to pay. A key assumption is that agents' preferences for a location depend on both an intrinsic…

Physics and Society · Physics 2012-10-09 Laetitia Gauvin , Annick Vignes , Jean-Pierre Nadal

We represent the functioning of the housing market and study the relation between income segregation, income inequality and house prices by introducing a spatial Agent-Based Model (ABM). Differently from traditional models in urban…

Economics · Quantitative Finance 2018-10-23 Marco Pangallo , Jean Pierre Nadal , Annick Vignes

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

Empirical distributions of wealth and income can be reproduced using simplified agent-based models of economic interactions, analogous to microscopic collisions of gas particles. Building upon these models of freely interacting agents, we…

Physics and Society · Physics 2020-03-10 Lennart Fernandes , Jacques Tempere

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

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 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

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

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

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

Residential segregation is a wide-spread phenomenon that can be observed in almost every major city. In these urban areas residents with different racial or socioeconomic background tend to form homogeneous clusters. Schelling's famous…

Computer Science and Game Theory · Computer Science 2020-05-07 Davide Bilò , Vittorio Bilò , Pascal Lenzner , Louise Molitor

The phenomenon of gentrification of an urban area is characterized by the displacement of lower-income residents due to rising living costs and an influx of wealthier individuals. This study presents an agent-based model that simulates…

Physics and Society · Physics 2025-08-07 Giovanni Mauro , Nicola Pedreschi , Renaud Lambiotte , Luca Pappalardo

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

Half of the world population resides in cities and urban segregation is becoming a global issue. One of the best known attempts to understand it is the Schelling model, which considers two types of agents that relocate whenever a transfer…

Physics and Society · Physics 2022-11-09 Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva

The spatial distribution of income shapes the structure and organisation of cities and its understanding has broad societal implications. Despite an abundant literature, many issues remain unclear. In particular, all definitions of…

Physics and Society · Physics 2016-06-22 Rémi Louf , Marc Barthelemy

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

We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

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

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

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
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