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The personal income distribution (PID) above the Pareto threshold is studied and modeled. A microeconomic model is proposed to simulate the PID and its evolution below and above the Pareto income threshold. The model balances processes of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

An heuristic model of the society, as an assembly of weakly interacting individuals, is discussed. The model allows to connect macroscopic phenomena with features of relations between individuals. Addressing to the problem of inequality, a…

Biological Physics · Physics 2023-10-16 Vladimir Pokrovskii

Using a model based on generalised Lotka Volterra dynamics together with some recent results for the solution of generalised Langevin equations, we show that the equilibrium solution for the probability distribution of wealth has two…

Statistical Mechanics · Physics 2008-12-10 Peter Richmond , Sorin Solomon

We describe society as a nonequilibrium probabilistic system: N individuals occupy W resource states in it and produce entropy S over definite time periods. Resulting thermodynamics is however unusual because a second entropy, H, measures a…

General Finance · Quantitative Finance 2019-02-20 J. Rosenblatt

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics offers models of markets as complex systems, that try to comprehend macro-, system-wide states of the economy from the…

Trading and Market Microstructure · Quantitative Finance 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of k-generalized statistics, is derived that is particularly suitable…

Physics and Society · Physics 2009-02-23 F. Clementi , M. Gallegati , G. Kaniadakis

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

A society or country with income equally distributed among its people is truly a fiction! The phenomena of socioeconomic inequalities have been plaguing mankind from times immemorial. We are interested in gaining an insight about the…

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

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

Pareto distributions, and power laws in general, have demonstrated to be very useful models to describe very different phenomena, from physics to finance. In recent years, the econophysical literature has proposed a large amount of papers…

Methodology · Statistics 2015-06-16 Pasquale Cirillo

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

Income and wealth distribution affect stability of a society to a large extent and high inequality affects it negatively. Moreover, in the case of developed countries, recently has been proven that inequality is closely related to all…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

This paper presents an empirical application of the Gause-Witt model of population ecology and ecosystems to the income distribution competitive dynamics of social classes in economic systems. The Gause-Witt mathematical system of coupled…

Physics and Society · Physics 2025-06-27 Marcelo B. Ribeiro

A simple heuristic model, including the multiple exchanges between economic agents, is used to explain the mechanism of emerging and maintenance of social inequality in the market economy. The model allows calculating a density function of…

Biological Physics · Physics 2023-03-16 Vladimir Pokrovskii

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

Grouped data in form of income shares have been conventionally used to estimate income inequality due to the lack of availability of individual records. Most prior research on economic inequality relies on lower bounds of inequality…

Applications · Statistics 2018-08-30 Vanesa Jorda , José María Sarabia , Markus Jäntti

The analysis of the USA 2001 income distribution shows that it can be described by at least two main components, which obey the generalized Tsallis statistics with different values of the q parameter. Theoretical calculations using the gas…

General Finance · Quantitative Finance 2011-05-18 Juan C. Ferrero

We report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to…

Statistical Mechanics · Physics 2008-12-02 Wataru Souma

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

We present the data on wealth and income distributions in the United Kingdom, as well as on the income distributions in the individual states of the USA. In all of these data, we find that the great majority of population is described by an…

Statistical Mechanics · Physics 2008-12-02 Adrian Dragulescu , Victor M. Yakovenko