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We develop a stochastic free-boundary model of housing tenure decisions in markets with high mobility risk, such as areas near military installations. Housing prices and rents follow correlated diffusion processes, and households face an…

Optimization and Control · Mathematics 2026-04-20 Hui Wu

Motivated by the need to understand the factors driving gentrification, we introduce and analyze two simple dynamical systems that model the interplay between three potential drivers of the phenomenon. The constructed systems are based on…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Jonathan D. Shaw , Juan G. Restrepo , Nancy Rodríguez

We study a recently introduced class of strategic games that is motivated by and generalizes Schelling's well-known residential segregation model. These games are played on undirected graphs, with the set of agents partitioned into multiple…

Computer Science and Game Theory · Computer Science 2019-11-25 Aishwarya Agarwal , Edith Elkind , Jiarui Gan , Alexandros A. Voudouris

A simple queueing approach for segregation of agents in modified one dimensional Schelling segregation model is presented. The goal is to arrive at simple formula for the number of unhappy agents remaining after the segregation.

Disordered Systems and Neural Networks · Physics 2007-12-19 Pawel Sobkowicz

A general class of models is proposed that is able to estimate the whole predictive distribution of a dependent variable $Y$ given a vector of explanatory variables $\xb$. The models exploit that the strength of explanatory variables to…

Methodology · Statistics 2021-03-25 Gerhard Tutz

This paper considers social learning amongst rational agents (for example, sensors in a network). We consider three models of social learning in increasing order of sophistication. In the first model, based on its private observation of a…

Information Theory · Computer Science 2011-05-17 Vikram Krishnamurthy

A class of heterogeneous agent models is investigated where investors switch trading position whenever their motivation to do so exceeds some critical threshold. These motivations can be psychological in nature or reflect behaviour…

Computational Physics · Physics 2009-11-13 R. Cross , M. Grinfeld , H. Lamba , T. Seaman

This paper characterizes optimal classification when individuals adjust their behavior in response to the classification rule. We model the interaction between a designer and a population as a Stackelberg game: the designer selects a…

Computer Science and Game Theory · Computer Science 2026-01-16 Elizabeth Maggie Penn , John W. Patty

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

This paper presents a simple agent-based model of an economic system, populated by agents playing different games according to their different view about social cohesion and tax payment. After a first set of simulations, correctly…

General Finance · Quantitative Finance 2018-09-24 L. S. Di Mauro , A. Pluchino , A. E. Biondo

In this paper, we present a modelling experiment developed to study systems of cities and processes of urbanisation in large territories over long time spans. Building on geographical theories of urban evolution, we rely on agent-based…

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

Mobility is a fundamental feature of human life, and through it our interactions with the world and people around us generate complex and consequential social phenomena. Social segregation, one such process, is increasingly acknowledged as…

Physics and Society · Physics 2025-05-23 Yitao Yang , Erjian Liu , Bin Jia , Ed Manley

Urban scaling, the superlinear increase of social and economic measures with increasing population, is an ubiquitous and well-researched phenomenon. This article is focused on socio-economic performance scaling, which could possibly be…

Physics and Society · Physics 2022-01-19 Pieter P. Tordoir , Anthony F. J. van Raan

This paper introduces a model for opinion dynamics, where at each time step, randomly selected agents see their opinions - modeled as scalars in [0,1] - evolve depending on a local interaction function. In the classical Bounded Confidence…

Multiagent Systems · Computer Science 2020-06-11 Elisabetta Cornacchia , Neta Singer , Emmanuel Abbe

We investigate the dependence of steady-state properties of Schelling's segregation model on the agents' activation order. Our basic formalism is the Pollicott-Weiss version of Schelling's segregation model. Our main result modifies this…

Computer Science and Game Theory · Computer Science 2018-07-17 Gabriel Istrate

In this work we characterize sudden increases in the land price of certain urban areas, a phenomenon causing gentrification, via an extended Schelling model. An initial price rise forces some of the disadvantaged inhabitants out of the…

Physics and Society · Physics 2021-04-06 Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva

Control systems should enforce a desired property for both expected modeled situations as well as unexpected unmodeled environmental situations. Existing methods focus on designing controllers to enforce the desired property only when the…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Rômulo Meira-Góes , Eunsuk Kang , Stéphane Lafortune , Stavros Tripakis

We consider a threshold factor model for high-dimensional time series in which the dynamics of the time series is assumed to switch between different regimes according to the value of a threshold variable. This is an extension of threshold…

Methodology · Statistics 2019-06-06 Xialu Liu , Rong Chen

Segregation is widespread in all realms of human society. Several influential studies have argued that intolerance is not a prerequisite for a segregated society, and that segregation can arise even when people generally prefer diversity.…

Social and Information Networks · Computer Science 2016-10-27 Milena Tsvetkova , Olof Nilsson , Camilla Öhman , Lovisa Sumpter , David Sumpter
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