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Persistent wealth inequality, where a small fraction of the population accumulates most resources while the majority remains economically vulnerable, is a widespread phenomenon. We investigate its underlying mechanisms using an agent-based…

Physics and Society · Physics 2026-02-16 Gastón Villafañe , Lautaro Giordano , María Fabiana Laguna

Understanding the statistical dynamics of growth and inequality is a fundamental challenge to ecology and society. Recent analyses of wealth and income dynamics in contemporary societies show that economic inequality is very dynamic and…

Physics and Society · Physics 2022-10-19 Jordan T. Kemp , Luis M. A. Bettencourt

A brief overview of the models and data analyses of income, wealth, consumption distributions by the physicists, are presented here. It has been found empirically that the distributions of income and wealth possess fairly robust features,…

General Finance · Quantitative Finance 2018-08-07 Kiran Sharma , Anirban Chakraborti

The addition of wealth-attained advantage (WAA) to the Yard-Sale Model (YSM) of asset exchange has been demonstrated to induce wealth condensation. In a model of WAA for which the bias is a continuous function of the wealth difference of…

General Finance · Quantitative Finance 2016-08-23 Bruce M. Boghosian , Adrian Devitt-Lee , Hongyan Wang

In this paper we show similarities between turbulence and financial systems. Motivated by similarities between the two systems, we construct a multiscale model for hierarchical financial structures that exhibits a constant cascade of wealth…

General Finance · Quantitative Finance 2019-11-25 Mahendra K. Verma

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus…

General Finance · Quantitative Finance 2017-05-03 M. L. Bertotti , G. Modanese

Econophysics provides a strategy for understanding the potential mechanisms underlying the anomalous distribution of wealth found in real societies. We present a computational nonlinear stochastic model for the distribution of wealth that…

Statistical Mechanics · Physics 2009-11-10 Nicola Scafetta , Bruce J. West , Sergio Picozzi

We propose a stochastic map model of economic dynamics. In the last decade, an array of observations in economics has been investigated in the econophysics literature, a major example being the universal features of inequality in terms of…

General Finance · Quantitative Finance 2015-05-27 Anindya S. Chakrabarti

We investigate the accumulated wealth distribution by adopting evolutionary games taking place on scale-free networks. The system self-organizes to a critical Pareto distribution (1897) of wealth $P(m)\sim m^{-(v+1)}$ with $1.6 < v <2.0$…

Physics and Society · Physics 2009-11-11 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Bing-Hong Wang , Yong-Hong Wu

We follow up on the study of correlations between GDP's of rich countries. We analyze web-downloaded data on GDP that we use as individual wealth signatures of the country economical state. We calculate the yearly fluctuations of the GDP.…

Physics and Society · Physics 2012-09-25 M. Ausloos , R. Lambiotte

A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a…

Chaotic Dynamics · Physics 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

Various multi-agent models of wealth distributions defined by microscopic laws regulating the trades, with or without a saving criterion, are reviewed. We discuss and clarify the equilibrium properties of the model with constant global…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Kimmo Kaski , Guido Germano

For a class of stochastic dynamical models of exchange economies that we call ``fully connected Cobb-Douglas'', the paper proves convergence of the probability distribution to an equilibrium, in total variation metric as time goes to…

Probability · Mathematics 2025-06-16 R. S. MacKay

The institution of money can be seen as a foundational social mechanism, enabling communities to quantify collectively regulate economic processes. Money can be said, indeed, to constitute the micro-macro link in economics. This paper…

Physics and Society · Physics 2025-06-30 Eduardo Coltre Ferraciolli , Tanya V. Araújo

We investigate the transient and steady-state dynamics of the Bennati-Dragulescu-Yakovenko money game in the presence of probabilistic cheaters, who can misrepresent their financial status by claiming to have no money. We derive the…

Statistical Mechanics · Physics 2025-03-20 Kristian Blom , Dmitrii E. Makarov , Aljaž Godec

In order to describe the properties of the observed distribution of wealth in a population, most economic models rely on the existence of an asymptotic equilibrium state. In addition, the process generating the equilibrium distribution is…

Statistical Mechanics · Physics 2024-02-16 Valerio Astuti

We analyze the dynamics of agent--based models (ABMs) from a Markovian perspective and derive explicit statements about the possibility of linking a microscopic agent model to the dynamical processes of macroscopic observables that are…

Adaptation and Self-Organizing Systems · Physics 2012-07-11 Sven Banisch , Ricardo Lima , Tanya Araújo

This article derives prognostic expressions for the evolution of globally aggregated economic wealth, productivity, inflation, technological change, innovation and growth. The approach is to treat civilization as an open, non-equilibrium…

General Finance · Quantitative Finance 2015-02-03 Timothy J. Garrett

In this short paper we define the wealth process in a spin model for market microstructure, for individual agents and in aggregate. The agents in our model try to balance their desire to belong to the local majority (herding behavior),…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Ming Yuen

If wealthier people have advantages in having higher returns than poor, inequality will unequivocally increase, but is equal opportunity enough to prevent it? According to several models in economics and econophysics, no. They all display…

Statistical Mechanics · Physics 2022-01-21 Ben-Hur Francisco Cardoso , Sebastián Gonçalves , José Roberto Iglesias