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The distribution of wealth among the members of a society is herein assumed to result from two fundamental mechanisms, trade and investment. An empirical distribution of wealth shows an abrupt change between the low-medium range, that may…

统计力学 · 物理学 2008-12-02 Nicola Scafetta , Sergio Picozzi , Bruce J. West

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…

统计理论 · 数学 2012-05-04 M. Doostparast , N. Balakrishnan

This paper studies the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

理论经济学 · 经济学 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

This study investigates the emergence of power-law and other concentrated distributions through a feedback loop model in crowd interactions. Agents act by their response functions to observations and external forces, while observations…

综合经济学 · 经济学 2024-12-18 Jake J. Xia

This work presents an empirical study of the evolution of the consumer expenditure distribution in India during 1982-2007. We have used the National Sample Survey Organization data and analysed the expenditure distribution for the urban and…

综合金融 · 定量金融 2010-07-09 Abhik Ghosh , Kausik Gangopadhyay , B. Basu

The results of R^2 dynamical random surface model (2-dimensional quantum gravity with a $R^2$ term) are applied to explain the personal income distribution. A scale invariance exists if there is not the $R^2$ term in the action. The R^2…

统计力学 · 物理学 2008-12-02 Atushi Ishikawa , Tadao Suzuki , Masashi Tomoyose

In two-strategy decision-making problems, individuals often imitate the highest earners or choose either the common or rare strategy. Individuals who benefit from the common strategy are conformists, whereas those who profit by choosing the…

种群与进化 · 定量生物学 2026-02-03 Azadeh Aghaeeyan , Pouria Ramazi

Decision-making by imitating the highest earners has been observed in experimental studies. In two-strategy decision-making problems, this behavior may result in perpetual fluctuations in the population proportions of the two strategies.…

物理与社会 · 物理学 2026-05-12 Azadeh Aghaeeyan , Pouria Ramazi

This paper discusses the size distribution, - in economic terms - of the Italian municipalities over the period 2007-2011. Yearly data are rather well fitted by a modified Lavalette law, while Zipf-Mandelbrot-Pareto law seems to fail in…

物理与社会 · 物理学 2015-06-23 Roy Cerqueti , Marcel Ausloos

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…

适应与自组织系统 · 物理学 2021-07-23 Paolo Sibani , Steen Rasmussen

Using a panel of 102 countries from PWT 10.0 covering 1970-2019, we examine the veracity of the assumption that a time-homogeneous, first-order process describes the evolution of the cross-country distribution of per capita output, an…

综合经济学 · 经济学 2025-06-10 Davide Fiaschi , Paul Johnson

Many studies in Economics and other disciplines have been reporting distributions following power-law behavior (i.e distributions of incomes (Pareto's law), city sizes (Zipf's law), frequencies of words in long sequences of text etc.)[1, 6,…

数学物理 · 物理学 2008-12-10 Francesco Vallone

We propose a stochastic model of evolution of wealth in a society of economic agents. In the model, an agent can be in two states: inactive and active. Transitions between the states occur at random time intervals. In the active state, the…

物理与社会 · 物理学 2007-05-23 Indrani Bose , Subhasis Banerjee

The yearly aggregated tax income data of all, more than 8000, Italian municipalities are analyzed for a period of five years, from 2007 to 2011, to search for conformity or not with Benford's law, a counter-intuitive phenomenon observed in…

物理与社会 · 物理学 2014-11-10 Tariq Ahmad Mir , Marcel Ausloos , Roy Cerqueti

The Pareto model is very popular in risk management, since simple analytical formulas can be derived for financial downside risk measures (Value-at-Risk, Expected Shortfall) or reinsurance premiums and related quantities (Large Claim Index,…

计量经济学 · 经济学 2019-12-30 Arthur Charpentier , Emmanuel Flachaire

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…

交易与市场微观结构 · 定量金融 2009-11-13 M. Ali Saif , Prashant M. Gade

Empirical growth analysis has three major problems --- variable selection, parameter heterogeneity and cross-sectional dependence --- which are addressed independently from each other in most studies. The purpose of this study is to propose…

计量经济学 · 经济学 2019-03-20 Guohua Feng , Jiti Gao , Bin Peng

We study the model of interacting agents proposed by Chatterjee et al that allows agents to both save and exchange wealth. Closed equations for the wealth distribution are developed using a mean field approximation. We show that when all…

其他凝聚态物理 · 物理学 2009-11-10 Przemyslaw Repetowicz , Stefan Hutzler , Peter Richmond

A set of data with positive values follows a Pareto distribution if the log-log plot of value versus rank is approximately a straight line. A Pareto distribution satisfies Zipf's law if the log-log plot has a slope of -1. Since many types…

经济学 · 定量金融 2020-06-04 Ricardo T. Fernholz , Robert Fernholz

The statistics of natural catastrophes contains very counter-intuitive results. Using earthquakes as a working example, we show that the energy radiated by such events follows a power-law or Pareto distribution. This means, in theory, that…

统计力学 · 物理学 2012-10-04 Alvaro Corral , Francesc Font-Clos