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We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or…

General Finance · Quantitative Finance 2015-05-07 Els Heinsalu , Marco Patriarca

We use data on wealth of the richest persons taken from the "rich lists" provided by business magazines like Forbes to verify if upper tails of wealth distributions follow, as often claimed, a power-law behaviour. The data sets used cover…

Statistical Finance · Quantitative Finance 2015-06-15 Michal Brzezinski

Each individual in society experiences an evolution of their income during their lifetime. Macroscopically, this dynamics creates a statistical relationship between age and income for each society. In this study, we investigate income…

General Economics · Economics 2022-02-01 Fatih Ozhamaratli , Oleg Kitov , Paolo Barucca

Universality in the behavior of complex systems often reveals itself in the form of scale-invariant distributions that are essentially independent of the details of the microscopic dynamics. A representative paradigm of complex behavior in…

Statistical Mechanics · Physics 2007-05-23 G. Malescio , N. V. Dokholyan , S. V. Buldyrev , H. Eugene Stanley

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

We introduce and study a model of an interacting population of agents who collaborate in groups which compete for limited resources. Groups are formed by random matching agents and their worth is determined by the sum of the efforts…

Physics and Society · Physics 2009-11-13 Emanuele Pugliese , Claudio Castellano , Matteo Marsili , Luciano Pietronero

One of the key socioeconomic phenomena to explain is the distribution of wealth. Bouchaud and M\'ezard have proposed an interesting model of economy [Bouchaud and M\'ezard (2000)] based on trade and investments of agents. In the mean-field…

Statistical Finance · Quantitative Finance 2009-02-03 Matus Medo

We investigate the unbiased model for money exchanges: agents give at random time a dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a geometric distribution of wealth (shown empirically by…

Probability · Mathematics 2022-08-12 Fei Cao , Pierre-Emmanuel Jabin

We briefly review statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the agents…

Statistical Finance · Quantitative Finance 2011-03-14 Victor M. Yakovenko

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

Theoretical Economics · Economics 2023-03-02 Valerio Astuti

Redistribution of resources within a group as a method to reduce wealth inequality is a current area of debate. The evolutionary path to or away from wealth sharing is also a subject of active research. In order to investigate effects and…

Physics and Society · Physics 2023-05-30 John C. Stevenson

Reducing wealth inequality and increasing utility are critical issues. This study reveals the effects of redistribution and consumption morals on wealth inequality and utility. To this end, we present a novel approach that couples the…

General Economics · Economics 2025-04-21 Takeshi Kato , Yosuke Tanabe , Mohammad Rezoanul Hoque

Why are human societies unstable? Theories based on the observation of recurring patterns in historical data indicate that economic inequality, as well as social factors are key drivers. So far, models of this phenomenon are more…

Physics and Society · Physics 2025-06-24 Alexander Jochim , Stefan Bornholdt

Power-law distributions with various exponents are studied. We first introduce a simple and generic model that reproduces Zipf's law. We can regard this model both as the time evolution of the population of cities and that of the asset…

Statistical Mechanics · Physics 2007-05-23 Kenji Kawamura , Naomichi Hatano

In [1] we presented a model for transactions when goods are given away in the expectation of a later settlement. In settings where people keep track of their social accounts we were able to redefine concepts like account balance, yield…

General Finance · Quantitative Finance 2014-11-10 W. P. Weijland

Statistical models of economic distributions lead to Boltzmann distributions rather than a Pareto power law. This result is supported by two facts: 1. the distributions of income, car sales, marriages or jobs are a matter of chances and…

Statistical Mechanics · Physics 2008-12-02 J. Mimkes , Th. Fruend , G. Willis

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

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

This paper proposes a framewrok for analyzing how the welfare effects of policy interventions are distributed across individuals when those effects are unobserved. Rather than focusing solely on average outcomes, the approach uses readily…

Econometrics · Economics 2025-12-25 Costas Lambros , Emerson Melo

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
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