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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

The distribution of gross earnings of movies released each year show a distribution having a power-law tail with Pareto exponent $\alpha \simeq 2$. While this offers interesting parallels with income distributions of individuals, it is also…

物理与社会 · 物理学 2012-01-11 Sitabhra Sinha , Raj Kumar Pan

We study the directed and weighted network in which the wards of London are vertices and two vertices are connected whenever there is at least one person commuting to work from a ward to another. Remarkably the in-strength and in-degree…

物理与社会 · 物理学 2009-11-13 A. P. Masucci , G. J. Rodgers

We theoretically and numerically investigated the threshold network model with a generic weight function where there were a large number of nodes and a high threshold. Our analysis was based on extreme value theory, which gave us a…

统计力学 · 物理学 2009-11-20 A. Fujihara , M. Uchida , H. Miwa

We discuss the ideal gas like models of a trading market. The effect of savings on the distribution have been thoroughly reviewed. The market with fixed saving factors leads to a Gamma-like distribution. In a market with quenched random…

物理与社会 · 物理学 2008-12-02 Arnab Chatterjee , Bikas K Chakrabarti

Explaining empirically observed wealth and income distributions, featuring power-law tails alongside gamma or log-normal bulk shapes, challenges models that focus on either pairwise competition or individual investment mechanisms. This…

物理与社会 · 物理学 2025-05-19 Yuri Ono , Atsushi Ishida

In order to study the phenomenon in detail that income distribution follows Pareto law, we analyze the database of high income companies in Japan. We find a quantitative relation between the average capital of the companies and the Pareto…

其他凝聚态物理 · 物理学 2009-11-10 Atushi Ishikawa

The power law distribution is usually used to fit data in the upper tail of the distribution. However, commonly it is not valid to model data in all the range. In this paper, we present a new family of distributions, the so-called…

适应与自组织系统 · 物理学 2016-09-21 Faustino Prieto , José María Sarabia

Many aggregate distributions of urban activities such as city sizes reveal scaling but hardly any work exists on the properties of spatial distributions within individual cities, notwithstanding considerable knowledge about their fractal…

物理与社会 · 物理学 2009-09-29 Michael Batty , Rui Carvalho , Andy Hudson-Smith , Richard Milton , Duncan Smith , Philip Steadman

Various multi-agent models of wealth distributions defined by microscopic laws regulating the trades, with or without a saving criterion, are reviewed. We discuss and clarify the equilibrium properties of the model with constant global…

物理与社会 · 物理学 2013-03-19 Marco Patriarca , Anirban Chakraborti , Kimmo Kaski , Guido Germano

When an individual purchases a home, they simultaneously purchase its structural features, its accessibility to work, and the neighborhood amenities. Some amenities, such as air quality, are measurable while others, such as the prestige or…

计量经济学 · 经济学 2019-10-22 Stephen Law , Brooks Paige , Chris Russell

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

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…

交易与市场微观结构 · 定量金融 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

We argue that a stochastic model of economic exchange, whose steady-state distribution is a Generalized Beta Prime (also known as GB2), and some unique properties of the latter, are the reason for GB2's success in describing wealth/income…

计量经济学 · 经济学 2024-04-15 M. Dashti Moghaddam , Jeffrey Mills , R. A. Serota

Understanding how housing prices respond to spatial accessibility, structural attributes, and typological distinctions is central to contemporary urban research and policy. In cities marked by affordability stress and market segmentation,…

应用统计 · 统计学 2025-06-12 Alvaro Garcia Murga , Manuele Leonelli

Under conditions of market equilibrium, the distribution of capital income follows a Pareto power law, with an exponent that characterizes the given equilibrium. Here, a simple taxation scheme is proposed such that the post-tax capital…

经济学 · 定量金融 2018-03-14 Jacques Tempere

The power law is useful in describing count phenomena such as network degrees and word frequencies. With a single parameter, it captures the main feature that the frequencies are linear on the log-log scale. Nevertheless, there have been…

应用统计 · 统计学 2024-07-24 Clement Lee , Emma Eastoe , Aiden Farrell

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…

统计力学 · 物理学 2008-12-02 Wataru Souma

We investigate the dynamical behavior in the large scale region of non-equilibrium systems, by employing data on the assessed value of land in 1983 -- 2006 Japan. In the system we find the detailed quasi-balance, which has the symmetry: x_1…

物理与社会 · 物理学 2008-12-02 Atushi Ishikawa

In this paper we analyse the street network of London both in its primary and dual representation. To understand its properties, we consider three idealised models based on a grid, a static random planar graph and a growing random planar…

数据分析、统计与概率 · 物理学 2009-09-07 A. P. Masucci , D. Smith , A. Crooks , M. Batty