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We develop a "multifocal" approach to reveal spatial dissimilarities in cities, from the most local scale to the metropolitan one. Think for instance of a statistical variable that may be measured at different scales, eg ethnic group…

Physics and Society · Physics 2018-07-02 Julien Randon-Furling , Madalina Olteanu , Antoine Lucquiaud

We propose a social network-aware approach to studying socio-economic segregation. The key question that we address is whether patterns of segregation are more pronounced in social networks than the common spatial neighborhood-focused…

Physics and Society · Physics 2023-10-05 Yuliia Kazmina , Eelke M. Heemskerk , Eszter Bokanyi , Frank W. Takes

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

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 propose models and algorithms for learning about random directions in simplex-valued data. The models are applied to the study of income level proportions and their changes over time in a geostatistical area. There are several notable…

Methodology · Statistics 2023-11-01 Rayleigh Lei , XuanLong Nguyen

The emergence of labor division in multi-agent system is analyzed by the method of statistical physics. Considering a system consists of N homogeneous agents. Their behaviors are determined by the returns from their production. Using the…

Statistical Mechanics · Physics 2009-11-07 Jinshan Wu , Zengru Di , Z. R. Yang

The agent-based Yard-Sale model of wealth inequality is generalized to incorporate exponential economic growth and its distribution. The distribution of economic growth is nonuniform and is determined by the wealth of each agent and a…

Statistical Mechanics · Physics 2021-08-26 Kang K. L. Liu , N. Lubbers , W. Klein , J. Tobochnik , B. M. Boghosian , Harvey Gould

In this paper, we continue our analysis of spatial versions of agent-based models for the dynamics of money that have been introduced in the statistical physics literature, focusing on two models with debts. Both models consist of systems…

Probability · Mathematics 2019-10-02 Nicolas Lanchier , Stephanie Reed

Social discrimination seems to be a persistent phenomenon in many cultures. It is important to understand the mechanisms that lead people to judge others by the group to which they belong, rather than individual qualities. It was recently…

Adaptation and Self-Organizing Systems · Physics 2019-12-11 Gorm Gruner Jensen , Frederik Tischel , Stefan Bornholdt

We study the poor-biased model for money exchange introduced in [2]: agents are being randomly picked at a rate proportional to their current wealth, and then the selected agent gives a dollar to another agent picked uniformly at random.…

Probability · Mathematics 2025-01-15 Roberto Cortez , Fei Cao

We present a stochastic agent-based model for the distribution of personal incomes in a developing economy. We start with the assumption that incomes are determined both by individual labour and by stochastic effects of trading and…

General Finance · Quantitative Finance 2010-09-23 Amit K Chattopadhyay , Graeme J Ackland , Sushanta K Mallick

We analyze inequality aspects of the agent-based model of capitalist economy named it Social Architecture of Capitalism that has been introduced by Ian Wright. The model contemplates two main types of agents, workers and capitalists, which…

Physics and Society · Physics 2025-03-12 Jhordan Silveira Borba , Sebastian Gonçalves , Celia Anteneodo

We analyze how equilibrium housing prices are determined in the process of economic development within an overlapping generations model with perfect housing and rental markets. We characterize the rent growth rate in all equilibria. The…

Theoretical Economics · Economics 2025-05-09 Tomohiro Hirano , Alexis Akira Toda

To gain insights into the problem of regional inequality, we proposed new regional asset exchange models based on existing kinetic income-exchange models in economic physics. We did this by setting the spatial exchange range and adding bias…

Physics and Society · Physics 2020-07-27 Takeshi Kato , Yasuyuki Kudo , Hiroyuki Mizuno , Yoshinori Hiroi

Stochastic multiplicative dynamics characterize many complex natural phenomena such as selection and mutation in evolving populations, and the generation and distribution of wealth within social systems. Population heterogeneity in…

Physics and Society · Physics 2022-09-21 Jordan T. Kemp , Luís M. A. Bettencourt

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

This paper studies spatial patterns formed by proximate population migration driven by real wage gradients and other idiosyncratic factors. The model consists of a tractable core-periphery model incorporating a quasi-linear log utility…

Theoretical Economics · Economics 2025-07-23 Kensuke Ohtake

Uncovering human mobility patterns is of fundamental importance to the understanding of epidemic spreading, urban transportation and other socioeconomic dynamics embodying spatiality and human travel. According to the direct travel diaries…

Physics and Society · Physics 2013-09-24 Xiao-Yong Yan , Xiao-Pu Han , Bing-Hong Wang , Tao Zhou

This study examines how congestion pricing shapes housing market outcomes and spatial equity in New York City. Using high-frequency sales and rental data and a combination of propensity score matching difference-in-differences, geographic…

General Economics · Economics 2025-11-18 Mingzhi Xiao , Yuki Takayama

We report the numerical results for the steady state income or wealth distribution $P(m)$ and the resulting inequality measures (Gini $g$ and Kolkata $k$ indices) in the kinetic exchange models of market dynamics. We study the variations of…

Physics and Society · Physics 2022-08-08 Sanjukta Paul , Sudip Mukherjee , Bijin Joseph , Asim Ghosh , Bikas K. Chakrabarti