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The first part of this paper is a brief survey of the approaches to economic inequality based on ideas from statistical physics and kinetic theory. These include the Boltzmann kinetic equation, the time-reversal symmetry, the ergodicity…

Physics and Society · Physics 2023-06-06 Danial Ludwig , Victor M. Yakovenko

This paper highlights the size-dependency of income distributions, i.e. the income distribution curves versus the population of a country systematically. By using the generalized Lotka-Volterra model to fit the empirical income data in the…

General Finance · Quantitative Finance 2011-04-06 Jiang Zhang , You-Gui Wang

We estimate capital and labor income Pareto exponents across 475 country-year observations that span 52 countries over half a century (1967-2018). We document two stylized facts: (i) capital income is more unequally distributed than labor…

Econometrics · Economics 2021-10-26 Tjeerd de Vries , Alexis Akira Toda

Following the work of Okuyama, Takayasu and Takayasu [Okuyama, Takayasu and Takayasu 1999] we analyze huge databases of Japanese companies' financial figures and confirm that the Zipf's law, a power law distribution with the exponent -1,…

Statistical Mechanics · Physics 2008-12-02 Takayuki Mizuno , Makoto Katori , Hideki Takayasu , Misako Takayasu

We analyze and develop a quantitative model describing the evolution of personal income distribution, PID, for males and females in the U.S. between 1930 and 2014. The overall microeconomic model, which we introduced ten years ago,…

General Finance · Quantitative Finance 2015-10-12 Ivan Kitov , Oleg Kitov

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

Herein, we applied statistical physics to study incomes of three (low-, medium- and high-income) society classes instead of the two (low- and medium-income)classes studied so far. In the frame of the threshold nonlinear Langevin dynamics…

General Finance · Quantitative Finance 2013-01-29 Maciej Jagielski , Ryszard Kutner

We study distributions which have both fractal and non-fractal scale regions by introducing a typical scale into a scale invariant system. As one of models in which distributions follow power law in the large scale region and deviate…

Statistical Mechanics · Physics 2008-12-18 Atushi Ishikawa , Tadao Suzuki

Accurately estimating income Pareto exponents is challenging due to limitations in data availability and the applicability of statistical methods. Using tabulated summaries of incomes from tax authorities and a recent estimation method, we…

General Economics · Economics 2022-06-10 Ji Hyung Lee , Yuya Sasaki , Alexis Akira Toda , Yulong Wang

Economic competition between humans leads to income inequality, but, so far, there has been little understanding of underlying quantitative mechanisms governing such a collective behavior. We analyze datasets of household income from 67…

Economics · Quantitative Finance 2019-05-07 Yong Tao , Xiangjun Wu , Tao Zhou , Weibo Yan , Yanyuxiang Huang , Han Yu , Benedict Mondal , Victor M. Yakovenko

We investigate the Brazilian personal income distribution using data from National Household Sample Survey (PNAD), an annual research available by the Brazilian Institute of Geography and Statistics (IBGE). It provides general…

General Finance · Quantitative Finance 2017-09-20 Igor D. S. Siciliani , Marcelo H. R. Tragtenberg

Using the empirical data from the Norwegian tax office, we analyse the wealth and income of the richest individuals in Norway during the period 2010--2013. We find that both annual income and wealth level of the richest individuals are…

General Finance · Quantitative Finance 2017-03-08 Maciej Jagielski , Kordian Czyżewski , Ryszard Kutner , H. Eugene Stanley

Personal income distribution may exhibit a two-class structure, such that the lower income class of the population (85-98%) is described by exponential Boltzmann-Gibbs distribution, whereas the upper income class (15-2%) has a Pareto…

Statistical Finance · Quantitative Finance 2022-10-05 Paulo H. dos Santos , Igor D. S. Siciliani , M. H. R. Tragtenberg

This paper analyzes the equilibrium distribution of wealth in an economy where firms' productivities are subject to idiosyncratic shocks, returns on factors are determined in competitive markets, dynasties have linear consumption functions…

General Finance · Quantitative Finance 2009-06-11 Davide Fiaschi , Matteo Marsili

We propose an efficient estimation method for the income Pareto exponent when only certain top income shares are observable. Our estimator is based on the asymptotic theory of weighted sums of order statistics and the efficient minimum…

Statistics Theory · Mathematics 2020-07-23 Alexis Akira Toda , Yulong Wang

We develop a Bayesian state-space model for analyzing the dynamic evolution of income distributions using grouped income data. The model combines the generalized beta distribution of the second kind (GB2) with latent time-varying parameters…

Econometrics · Economics 2026-05-19 Kazuhiko Kakamu

The literature often employs moment-based earnings risk measures like variance, skewness, and kurtosis. However, under heavy-tailed distributions, these moments may not exist in the population. Our empirical analysis reveals that population…

Econometrics · Economics 2024-02-20 Silvia Sarpietro , Yuya Sasaki , Yulong Wang

This work analyzes the Gompertz-Pareto distribution (GPD) of personal income, formed by the combination of the Gompertz curve, representing the overwhelming majority of the economically less favorable part of the population of a country,…

General Finance · Quantitative Finance 2010-12-17 F. Chami Figueira , N. J. Moura , Marcelo B. Ribeiro

The distribution of wealth in the Hungarian medieval aristocratic society is reported and studied. The number of serf families belonging to a noble is taken as a measure of the corresponding wealth. Our results reveal the power-law nature…

Physics and Society · Physics 2007-05-23 G. Hegyi , Z. Neda , M. A. Santos

We estimate the dynamic distributional effects of financial shocks in the Euro Area using survey-based microdata on personal incomes. We find that positive financial shocks increase inequality, with heterogeneity across different income…

General Economics · Economics 2025-10-14 Miloš Ciganović , Elena Scola Gagliardi , Massimiliano Tancioni