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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

Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the…

General Finance · Quantitative Finance 2015-05-14 Abhijit Chakraborty , S. S. Manna

Understanding cities is central to addressing major global challenges from climate and health to economic resilience. Although increasingly perceived as fundamental socio-economic units, the detailed fabric of urban economic activities is…

In this article, the relationship between two well-accepted empirical propositions regarding the distribution of population in cities, namely, Gibrat's law and Zipf's law, are rigorously examined using the Chinese census data. Our findings…

Physics and Society · Physics 2010-01-07 Kausik Gangopadhyay , B. Basu

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

Personal income distributions in Japan are analyzed empirically and a simple stochastic model of the income process is proposed. Based on empirical facts, we propose a minimal two-factor model. Our model of personal income consists of an…

Physics and Society · Physics 2008-12-02 Wataru Souma , Makoto Nirei

We study the distribution of strike size, which we measure as lost person days, for a long period in several countries of Europe and America. When we consider the full samples, the mixtures of two or three lognormals arise as very…

General Economics · Economics 2023-08-23 Michele Campolieti , Arturo Ramos

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

Physics and Society · Physics 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

Estimation of the parameters of an exponential distribution based on record data has been treated by Samaniego and Whitaker (1986) and Doostparast (2009). Recently, Doostparast and Balakrishnan (2011) obtained optimal confidence intervals…

Statistics Theory · Mathematics 2012-05-04 M. Doostparast , N. Balakrishnan

By analyzing a large data set of daily returns with data clustering technique, we identify economic sectors as clusters of assets with a similar economic dynamics. The sector size distribution follows Zipf's law. Secondly, we find that…

Statistical Mechanics · Physics 2008-12-02 Matteo Marsili

Since governments give stimulus to firms and expect the spillover effect by fiscal policies, it is important to know the effectiveness that they can control the economy. To clarify the controllability of the economy, we investigate a firm…

General Finance · Quantitative Finance 2016-04-06 Hiroyasu Inoue

Recent studies have found evidence of a negative association between economic complexity and inequality at the country level. Moreover, evidence suggests that sophisticated economies tend to outsource products that are less desirable (e.g.…

General Economics · Economics 2022-06-08 Dominik Hartmann , Flavio L. Pinheiro

The paper analyses the increasing popularity of large funds in the secondary private equity market, which are pegged on the perceived larger scale advantages of operational efficiency and fewer manager relationships (Reuter & Zitzewitz,…

General Economics · Economics 2025-07-17 Jitesh Gurav

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 prove that Pareto theory of circulation of elites results from our wealth evolution model, Kelly criterion for optimal betting and Keynes' observation of "animal spirits" that drive the economy and cause that human financial decisions…

General Finance · Quantitative Finance 2014-12-16 Ricardo Pérez-Marco

The statistical state for the empirical Pareto's 80/20 rule has been found to correspond to a normal or Gaussian distribution with a standard deviation that is twice the mean. This finding represents large characteristic variations in our…

General Finance · Quantitative Finance 2020-10-01 Katsuaki Tanabe

In this paper, we introduce reduced-bias estimators for the estimation of the tail index of a Pareto-type distribution. This is achieved through the use of a regularised weighted least squares with an exponential regression model for…

Methodology · Statistics 2022-04-19 E. Ocran , R. Minkah , G. Kallah-Dagadu , K. Doku-Amponsah

We analyze the fluctuations in the gross domestic product (GDP) of 152 countries for the period 1950--1992. We find that (i) the distribution of annual growth rates for countries of a given GDP decays with ``fatter'' tails than for a…

Statistical Mechanics · Physics 2009-10-31 Youngki Lee , Luis A. N. Amaral , David Canning , Martin Meyer , H. Eugene Stanley

We consider the zeta distributions which are discrete power law distributions that can be interpreted as the counterparts of the continuous Pareto distributions with unit scale. The family of zeta distributions forms a discrete exponential…

Information Theory · Computer Science 2022-06-24 Frank Nielsen

The global decline in the labor income share has challenged the classical Kaldor facts; however, the macroeconomic aggregation mechanism -- namely, how aggregate factor shares emerge from firm-level heterogeneity -- remains underexplored.…

Theoretical Economics · Economics 2026-02-04 Jihyuan Liuh