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This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

We investigate the problem of wealth distribution from the viewpoint of asset exchange. Robust nature of Pareto's law across economies, ideologies and nations suggests that this could be an outcome of trading strategies. However, the simple…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Ali Saif , Prashant M. Gade

This article describes mathematical methods for estimating the top-tail of the wealth distribution and therefrom the share of total wealth that the richest $p$ percent hold, which is an intuitive measure of inequality. As the data base for…

Applications · Statistics 2018-07-11 Christoph Dalitz

The paper starts with a brief review of present understanding of income distributions; especially with regard to recent work in the field of econophysics that draws parallels between income, wealth and energy distributions. Examples of…

Other Condensed Matter · Physics 2008-12-02 G. Willis

Increasingly, a huge amount of statistics have been gathered which clearly indicates that income and wealth distributions in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas…

General Finance · Quantitative Finance 2009-11-13 Arnab Chatterjee , Bikas K. Chakrabarti

Pareto law, which states that wealth distribution in societies have a power-law tail, has been a subject of intensive investigations in statistical physics community. Several models have been employed to explain this behavior. However, most…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Ali Saif , Prashant M. Gade

How do individuals accumulate wealth as they interact economically? We outline the consequences of a simple microscopic model in which repeated pairwise exchanges of assets between individuals build the wealth distribution of a population.…

Physics and Society · Physics 2010-08-31 P. L. Krapivsky , S. Redner

In this paper we present an econophysic model for the description of shares transactions in a capital market. For introducing the fundamentals of this model we used an analogy between the electrical field produced by a system of charges and…

General Finance · Quantitative Finance 2011-01-26 Ion Spanulescu , Ion Popescu , Victor Stoica , Anca Gheorghiu , Victor Velter

We construct a model of an exchange economy in which agents trade assets contingent on an observable signal, the probability of which depends on public opinion. The agents in our model are replaced occasionally and each person updates…

Theoretical Economics · Economics 2022-04-28 Jean-Philippe Bouchaud , Roger Farmer

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

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

We develop a general framework, based on Boltzmann transport theory, to analyze the distribution of wealth in societies. Within this framework we derive the distribution function of wealth by using a two-party trading model for the poor…

Statistical Mechanics · Physics 2016-08-31 Arnab Das , Sudhakar Yarlagadda

We introduce an auto-regressive model which captures the growing nature of realistic markets. In our model agents do not trade with other agents, they interact indirectly only through a market. Change of their wealth depends, linearly on…

General Finance · Quantitative Finance 2009-07-28 Urna Basu , P. K. Mohanty

In this communication, some economic models given by functional mappings are addressed. These are models for random markets where agents trade by pairs and exchange their money in a random and conservative way. They display the exponential…

Trading and Market Microstructure · Quantitative Finance 2014-07-25 Ricardo Lopez-Ruiz , Elyas Shivanian , Jose-Luis Lopez

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

A model based on first-degree family relations network is used to describe the wealth distribution in societies. The network structure is not a-priori introduced in the model, it is generated in parallel with the wealth values through…

Other Condensed Matter · Physics 2009-11-10 R. Coelho , Z. Neda , J. J. Ramasco , M. A. Santos

This is a review article for Encyclopedia of Complexity and System Science, to be published by Springer http://refworks.springer.com/complexity/. The paper reviews statistical models for money, wealth, and income distributions developed in…

Statistical Finance · Quantitative Finance 2023-06-06 Victor M. Yakovenko

We investigate the effect of applying nonlinear redistributive taxes to the yard-sale dynamics of assets. An amount of money is collected from each individual (tax) and distributed back equally. We consider (i) a piecewise linear tax,…

Physics and Society · Physics 2022-09-13 Hugo Lima , Allan R. Vieira , Celia Anteneodo

Knowing and modelling the migration phenomena and especially the social and economic consequences have a theoretical and practical importance, being related to their consequences for development, economic progress (or as appropriate,…

General Finance · Quantitative Finance 2012-02-07 Anca Gheorghiu , Ion Spanulescu

The inequality of wealth distribution is a universal phenomenon in the civilized nations, and it is often imputed to the Matthew effect, that is, the rich get richer and the poor get poorer. Some philosophers unjustified this phenomenon and…

Physics and Society · Physics 2014-02-18 Bojin Zheng , Wenhua Du , Wanneng Shu , Jianmin Wang , Deyi Li