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We investigate the Japanese personal income distribution in the high income range over the 112 years 1887-1998, and that in the middle income range over the 44 years 1955-98. It is observed that the distribution pattern of the lognormal…

Statistical Mechanics · Physics 2008-12-02 Wataru Souma

A practical statistical analysis on the regional populations and GDPs of China is conducted. The result shows that the distribution of the populations and that of the GDPs obeys the shifted power law, respectively. To understand these…

Physics and Society · Physics 2018-02-14 Jie Huo , Xu-Ming Wang , Rui Hao , Peng Wang

Power-law distributions are widely observed in complex systems, yet establishing their thermodynamic consistency remains a theoretical challenge. In this paper, we present a thermodynamic framework for power-law statistics based on the…

Statistical Mechanics · Physics 2026-03-31 Hiroki Suyari

A plethora of natural, artificial and social systems exist which do not belong to the Boltzmann-Gibbs (BG) statistical-mechanical world, based on the standard additive entropy $S_{BG}$ and its associated exponential BG factor. Frequent…

Statistical Mechanics · Physics 2016-06-29 Constantino Tsallis

We derive the most probable distribution of resources for a simple society. We find that a probabilistic analysis forbids both too much and too less equity, and selects instead a minimally ordered state. We give the detailed calculations…

Statistical Mechanics · Physics 2008-12-10 Daniel O. Badagnani

We introduce a stochastic model to explain a double power-law distribution which exhibits two different Paretian behaviors in the upper and the lower tail and widely exists in social and economic systems. The model incorporates fitness…

Physics and Society · Physics 2011-04-25 D. D. Han , J. H. Qian , Y. G. Ma

Is a causal description of human wealth history conceivable? To investigate the matter we introduce a simple causal albeit strongly aggregated model, assuming that the observed wealth growth is mainly driven by human collaborative efforts…

Adaptation and Self-Organizing Systems · Physics 2021-07-23 Paolo Sibani , Steen Rasmussen

Income inequality between different races in the U.S. is especially large. This difference is even larger when gender is involved. In a complementary study, we have developed a dynamic microeconomic model accurately describing the evolution…

General Finance · Quantitative Finance 2020-07-14 Ivan Kitov

Econophysics, is based on the premise that some ideas and methods from physics can be applied to economic situations. We intend to show in this paper how a physics concept such as entropy can be applied to an economic problem. In so doing,…

Statistical Finance · Quantitative Finance 2016-09-08 Adom Giffin

We have investigated the proof of the $H$ theorem within a manifestly covariant approach by considering the relativistic statistical theory developed in [Phy. Rev. E {\bf 66}, 056125, 2002; {\it ibid.} {\bf 72}, 036108 2005]. In our…

Statistical Mechanics · Physics 2007-05-23 R. Silva

We study the statistical laws of the expenditure of a person in convenience stores by analysing around 100 million receipts. The density function of expenditure exhibits a fat tail that follows a power law. We observe the Pareto principle…

Physics and Society · Physics 2009-11-13 Takayuki Mizuno , Masahiro Toriyama , Takao Terano , Misako Takayasu

We study unit-level expenditure on consumption across multiple countries and multiple years, in order to extract invariant features of consumption distribution. We show that the bulk of it is lognormally distributed, followed by a power law…

Physics and Society · Physics 2017-03-01 Anindya S. Chakrabarti , Arnab Chatterjee , Tushar K. Nandi , Asim Ghosh , Anirban Chakraborti

We analyze the distribution of income and income tax of individuals in Japan for the fiscal year 1998. From the rank-size plots we find that the accumulated probability distribution of both data obey a power law with a Pareto exponent very…

Statistical Mechanics · Physics 2008-12-02 Hideaki Aoyama , Yuichi Nagahara , Mitsuhiro P. Okazaki , Wataru Souma , Hideki Takayasu , Misako Takayasu

This is an invited article for the Discussion and Debate special issue of The European Physical Journal Special Topics on the subject "Can Economics Be a Physical Science?" The first part of the paper traces the personal path of the author…

Economics · Quantitative Finance 2017-03-22 Victor M. Yakovenko

An important class of economic models involve agents whose wealth changes due to transactions with other agents. Several authors have pointed out an analogy with kinetic theory, which describes molecules whose momentum and energy changes…

Physics and Society · Physics 2014-07-22 Bruce M. Boghosian

Urban inequality is a major challenge for cities in the 21st century. This inequality is reflected in the spatial income structure of cities which evolves in time through various processes. Gentrification is a well-known illustration of…

Physics and Society · Physics 2023-05-01 Vincent Verbavatz , Marc Barthelemy

The prominent inequality of wealth and income is a huge concern especially in the United States. The likelihood of diminishing poverty is one valid reason to reduce the world's surging level of economic inequality. The principle of…

Machine Learning · Computer Science 2018-10-25 Navoneel Chakrabarty , Sanket Biswas

I propose a new terminology, international trade strength, which is defined as the ratio of a country's total international trade to its GDP. This parameter represents a country's ability to generate international trade by utilizing its…

General Economics · Economics 2023-09-06 Mikrajuddin Abdullah

The enterprise of trying to explain different social and economic phenomena using concepts and ideas drawn from physics has a long history. Statistical mechanics, in particular, has been often seen as most likely to provide the means to…

Physics and Society · Physics 2019-06-28 Shakti N. Menon , V. Sasidevan , Sitabhra Sinha

This paper is part of the Global Income Dynamics Project cross-country comparison of earnings inequality, volatility, and mobility. Using data from the U.S. Census Bureau's Longitudinal Employer-Household Dynamics (LEHD) infrastructure…

General Economics · Economics 2021-12-14 Kevin L. McKinney , John M. Abowd , Hubert P. Janicki
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