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Thomas Schelling proposed an influential simple spatial model to illustrate 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 2007-11-15 Abhinav Singh , Dmitri Vainchtein , Howard Weiss

This paper focuses on the coordination of a large population of dynamic agents with private information over multiple periods. Each agent maximizes the individual utility, while the coordinator determines the market rule to achieve group…

Systems and Control · Computer Science 2015-10-05 Sen Li , Wei Zhang

In social dilemmas self-interested learning agents face the choice between the societal benefit of cooperation and the immediate reward of defection. Significant evidence exists on the benefits of assortment mechanisms such as partner…

Multiagent Systems · Computer Science 2026-05-19 Benedict Russell , Chin-wing Leung , Paolo Turrini

Thomas Schelling introduced his agent-based model of segregation in 1971 and concluded that even when there is a low amount of intolerance within society that segregation will develop if people follow their individual preferences. A large…

Adaptation and Self-Organizing Systems · Physics 2024-03-05 Joseph D. Johnson , Marisa C. Eisenberg

Cooperation in an open dynamic system fundamentally depends upon information distributed across its components. Yet in an environment with rapidly enlarging complexity, this information may need to change adaptively to enable not only…

Physics and Society · Physics 2021-04-06 Wonhee Jeong , Tarik Hadzibeganovic , Unjong Yu

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 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 analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

Physics and Society · Physics 2016-03-23 Marco Alberto Javarone

This paper introduces a novel spatial interaction model to explore the decision-making processes of a resource allocator and local agents, with central and local governments serving as empirical representations. The model captures two key…

Econometrics · Economics 2025-07-02 Hanbat Jeong

How robust are socioeconomic agent-based models with respect to the details of the agents' decision rule? We tackle this question by considering an occupation model in the spirit of the Sakoda-Schelling model, historically introduced to…

Statistical Mechanics · Physics 2024-07-01 Ruben Zakine , Jerome Garnier-Brun , Antoine-Cyrus Becharat , Michael Benzaquen

We consider strategic games that are inspired by Schelling's model of residential segregation. In our model, the agents are partitioned into k types and need to select locations on an undirected graph. Agents can be either stubborn, in…

Computer Science and Game Theory · Computer Science 2021-08-24 Edith Elkind , Jiarui Gan , Ayumi Igarashi , Warut Suksompong , Alexandros A. Voudouris

We present and analyze a model for the evolution of the wealth distribution within a heterogeneous economic environment. The model considers a system of rational agents interacting in a game theoretical framework, through fairly general…

General Finance · Quantitative Finance 2015-06-16 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

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

We study a collaborative learning problem where $m$ agents aim to estimate a vector $\mu =(\mu_1,\ldots,\mu_d)\in \mathbb{R}^d$ by sampling from associated univariate normal distributions $\{\mathcal{N}(\mu_k, \sigma^2)\}_{k\in[d]}$. Agent…

Computer Science and Game Theory · Computer Science 2025-08-15 Alex Clinton , Yiding Chen , Xiaojin Zhu , Kirthevasan Kandasamy

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

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

Standard rational actor models often attribute cooperation failures in social dilemmas to insufficient incentives, overlooking the destabilizing effects of continuous utility maximization. To address this, we propose a framework of ``will"…

Multiagent Systems · Computer Science 2026-05-12 Yizhe Huang , Bin Ling , Song-Chun Zhu , Xue Feng

Wealth transactions are central to economic activity, and their particularities shape macroeconomic outcomes. We propose an agent-based model to investigate how homophily influences economic inequality. The model simulates wealth exchanges…

Physics and Society · Physics 2025-02-26 Gustavo L. Kohlrausch , Thiago Dias , Sebastian Gonçalves

The spatial arrangement of individuals is thought to overcome the dilemma of cooperation: When cooperators engage in clusters they might share the benefit of cooperation while being more protected against non-cooperating individuals, which…

Populations and Evolution · Quantitative Biology 2013-04-18 Anatolij Gelimson , Jonas Cremer , Erwin Frey

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