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Schelling games model the wide-spread phenomenon of residential segregation in metropolitan areas from a game-theoretic point of view. In these games agents of different types each strategically select a node on a given graph that models…

Computer Science and Game Theory · Computer Science 2023-02-24 Tobias Friedrich , Pascal Lenzner , Louise Molitor , Lars Seifert

We investigate a social system of agents faced with a binary choice. We assume there is a correct, or beneficial, outcome of this choice. Furthermore, we assume agents are influenced by others in making their decision, and that the agents…

Populations and Evolution · Quantitative Biology 2007-12-06 Andreas Gronlund , Petter Holme , Petter Minnhagen

Schelling's classical segregation model gives a coherent explanation for the wide-spread phenomenon of residential segregation. We consider an agent-based saturated open-city variant, the Flip Schelling Process (FSP), in which agents,…

Probability · Mathematics 2021-02-22 Thomas Bläsius , Tobias Friedrich , Martin S. Krejca , Louise Molitor

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

We study a system in which N agents have to decide between two strategies \theta_i (i \in 1... N), for defection or cooperation, when interacting with other n agents (either spatial neighbors or randomly chosen ones). After each round, they…

Physics and Society · Physics 2012-11-07 Frank Schweitzer , Pavlin Mavrodiev , Claudio J. Tessone

We study the dynamics of individual agents in some kinetic models of wealth exchange, particularly, the models with savings. For the model with uniform savings, agents perform simple random walks in the "wealth space". On the other hand, we…

Physics and Society · Physics 2011-01-04 Arnab Chatterjee , Parongama Sen

We study the dynamics of interacting agents from two distinct inter-mixed populations: One population includes active agents that follow a predetermined velocity field, while the second population contains exclusively passive agents, i.e.…

Numerical Analysis · Mathematics 2018-06-07 Matteo Colangeli , Adrian Muntean , Omar Richardson , Thoa Thieu

We consider an agent-based model in which two types of agents interact locally over a graph and have a common intolerance threshold $\tau$ for changing their types with exponentially distributed waiting times. The model is equivalent to an…

Social and Information Networks · Computer Science 2018-01-08 Hamed Omidvar , Massimo Franceschetti

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

In his 1971's Dynamic Models of Segregation paper, the economist Thomas C. Schelling showed that a small preference for one's neighbors to be of the same color could lead to total segregation, even if total segregation does not correspond…

Physics and Society · Physics 2009-07-13 S. Grauwin , F. Goffette-Nagot , P. Jensen

Increased day-trading activity and the subsequent jump in intraday volatility and trading volume fluctuations has raised considerable interest in models for financial market microstructure. We investigate the random transitions between two…

Probability · Mathematics 2007-05-23 Muffasir Badshah , Robert Boyer , Ted Theodosopoulos

Recent advances in human mobility research have revealed consistent pairwise characteristics in movement behavior, yet existing mobility models often overlook the spatial and topological structure of mobility networks. By analyzing millions…

Physics and Society · Physics 2025-05-22 Lu Zhong , Lei Dong , Qi Wang , Chaoming Song , Jianxi Gao

Over the past decades, breakthroughs such as Reinforcement Learning (RL) and Agent-based modeling (ABM) have made simulations of economic models feasible. Recently, there has been increasing interest in applying ABM to study the impact of…

General Economics · Economics 2022-11-23 Xinyu Li

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

In this work we propose a subtle change in Axelrod's model for the dissemination of culture. The mechanism consists of excluding non-interacting neighbours from the set of neighbours out of which an agent is drawn for potential cultural…

Physics and Society · Physics 2014-06-11 Bruno Pace , Carmen P. C. Prado

We introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either (i) with probability $p$ an incoming agent…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. J. Rodgers , Dafang Zheng

Multi-agent models often describe populations segregated either in the physical space, i.e. subdivided in metapopulations, or in the ecology of opinions, i.e. partitioned in echo chambers. Here we show how the interplay between homophily…

Physics and Society · Physics 2017-02-23 Michele Starnini , Mattia Frasca , Andrea Baronchelli

This paper introduces and analyses some models in the framework of Mean Field Games describing interactions between two populations motivated by the studies on urban settlements and residential choice by Thomas Schelling. For static games,…

Analysis of PDEs · Mathematics 2016-07-18 Yves Achdou , Martino Bardi , Marco Cirant

We consider a model of nomadic agents exploring and competing for time-varying location-specific resources, arising in crowdsourced transportation services, online communities, and in traditional location based economic activity. This model…

Computer Science and Game Theory · Computer Science 2016-02-23 Pu Yang , Krishnamurthy Iyer , Peter Frazier

We investigate mechanism design without payments when agents have different types of preferences. Contrary to most settings in the literature where agents have the same preference, e.g. in the facility location games all agents would like…

Computer Science and Game Theory · Computer Science 2016-09-16 Qiang Zhang