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We consider a model of power distribution in a social system where a set of agents play a simple game on a graph: the probability of winning each round is proportional to the agent's current power, and the winner gets more power as a…

Physics and Society · Physics 2019-07-30 Silvia N. Santalla , Kostadin Koroutchev , Elka Korutcheva , Javier Rodriguez-Laguna

The uneven distribution of wealth and individual economic capacities are among the main forces which shape modern societies and arguably bias the emerging social structures. However, the study of correlations between the social network and…

Social and Information Networks · Computer Science 2016-12-15 Yannick Leo , Eric Fleury , J. Ignacio Alvarez-Hamelin , Carlos Sarraute , Márton Karsai

Infectious diseases outbreaks are often characterized by a spatial component induced by hosts' distribution, mobility, and interactions. Spatial models that incorporate hosts' movements are being used to describe these processes, to…

Physics and Society · Physics 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

Income redistribution is the transfer of income from some individuals to others directly or indirectly by means of social mechanisms, such as taxation, public services and so on. Employing a spatial public goods game, we study the influence…

Physics and Society · Physics 2017-03-08 Zhenhua Pei , Baokui Wang , Jinming Du

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

Residential segregation recently has shifted to more class or income-based in the United States, and neighborhoods are undergoing significant changes such as commuting patterns over time. To better understand the commuting inequality across…

Applications · Statistics 2020-06-08 Yujie Hu , Fahui Wang , Chester Wilmot

We build an agent-based model of incarceration based on the SIS model of infectious disease propagation. Our central hypothesis is that the observed racial disparities in incarceration rates between Black and White Americans can be…

Applications · Statistics 2013-12-06 Kristian Lum , Samarth Swarup , Stephen Eubank , James Hawdon

We propose a Statistical-Mechanics inspired framework for modeling economic systems. Each agent composing the economic system is characterized by a few variables of distinct nature (e.g. saving ratio, expectations, etc.). The agents…

Statistical Mechanics · Physics 2007-05-23 Tom Erez , Martin Hohnisch , Sorin Solomon

The systematic differences of gender representation across occupations, gender-based occupational segregation, has been suggested as one of the most important determinants of the still existing gender wage gap. Despite some signs of a…

Social and Information Networks · Computer Science 2021-08-25 Joana Passinhas , Tanya Araújo

We introduce and discuss a system of one-dimensional kinetic equations describing the influence of higher education in the social stratification of a multi-agent society. The system is obtained by coupling a model for knowledge formation…

Physics and Society · Physics 2021-10-18 Giacomo Dimarco , Giuseppe Toscani , Mattia Zanella

Survey data are widely used to study how income inequality, poverty, and welfare evolve over time. A common practice is to estimate the income distribution separately for each year, treating annual observations as independent…

Econometrics · Economics 2026-04-24 David Gunawan

We study a system of $N$ agents, whose wealth grows linearly, under the effect of stochastic resetting and interacting via a tax-like dynamics -- all agents donate a part of their wealth, which is, in turn, redistributed equally among all…

Physics and Society · Physics 2022-05-11 Ion Santra

Many models of market dynamics make use of the idea of conservative wealth exchanges among economic agents. A few years ago an exchange model using extremal dynamics was developed and a very interesting result was obtained: a self-generated…

Physics and Society · Physics 2015-06-12 L. A. Braunstein , P. A. Macri , J. R. Iglesias

We present a model in which we investigate the structure and evolution of a random network that connects agents capable of exchanging wealth. Economic interactions between neighbors can occur only if the difference between their wealth is…

Physics and Society · Physics 2015-06-19 A. Agreda , K. Tucci

This paper reviews recent attempts at modelling inequality of wealth as an emergent phenomenon of interacting-agent processes. We point out that recent models of wealth condensation which draw their inspiration from molecular dynamics have,…

Multiagent Systems · Computer Science 2007-05-23 Thomas Lux

We study the effect of the social stratification on the wealth distribution on a system of interacting economic agents that are constrained to interact only within their own economic class. The economical mobility of the agents is related…

Physics and Society · Physics 2009-11-11 M. F. Laguna , S. Risau Gusman , J. R. Iglesias

We present an agent behavior based microscopic model for diffusion price processes. As such we provide a model not only containing a convenient framework for describing socio-economic behavior, but also a sophisticated link to price…

Probability · Mathematics 2016-06-28 Christof Henkel

Are there multiple equilibria in the spatial economy? This paper develops a unified framework that integrates systems of cities and regional models to address this question within a general geographic space. A key feature is the endogenous…

Theoretical Economics · Economics 2025-05-01 Gianandrea Lanzara , Matteo Santacesaria

We present a novel analytical framework to examine socio-spatial segregation across multiple spatial scales, explicitly leveraging information theory and percolation theory. This framework emphasizes the interplay between regional…

Physics and Society · Physics 2025-05-22 Mateo Neira , Valentina Marin , Elsa Arcaute

Research on residential segregation has been active since the 1950s and originated in a desire to quantify the level of racial/ethnic segregation in the United States. The Index of Concentration at the Extremes (ICE), an operationalization…

Applications · Statistics 2023-05-01 Yang Xu , Loni Philip Tabb