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Econophysics provides a strategy for understanding the potential mechanisms underlying the anomalous distribution of wealth found in real societies. We present a computational nonlinear stochastic model for the distribution of wealth that…

统计力学 · 物理学 2009-11-10 Nicola Scafetta , Bruce J. West , Sergio Picozzi

Urban scaling laws summarize how urban attributes evolve with city size. Recent criticism questions notably the aggregate view of this approach, which leads to neglecting the internal structure of cities. This is all the more relevant for…

物理与社会 · 物理学 2024-05-24 Gaëtan Laziou , Rémi Lemoy , Marion Le Texier

We provide an exact solution to the ideal-gas-like models studied in econophysics to understand the microscopic origin of Pareto-law. In these class of models the key ingredient necessary for having a self-organized scale-free steady-state…

物理与社会 · 物理学 2008-12-02 P. K. Mohanty

A data set of Hirsch indices, $h$, for Finnish scientists in certain fields is statistically analyzed and fitted to $h(n) =Pn^p$ for the $n$-th most-quoted scientist. The precoefficient $P$ is characteristic for the field and the exponent…

数据分析、统计与概率 · 物理学 2007-05-23 Pekka Pyykko

We study correlations of a set of stocks selected from both the New York and London stock exchanges. Results are displayed using both Random Matrix Theory approach and the graphical visualisation of the Minimal Spanning Tree. For the set of…

物理与社会 · 物理学 2007-10-29 Ricardo Coelho , Peter Richmond , Stefan Hutzler , Brian Lucey

We use data on wealth of the richest persons taken from the "rich lists" provided by business magazines like Forbes to verify if upper tails of wealth distributions follow, as often claimed, a power-law behaviour. The data sets used cover…

统计金融 · 定量金融 2015-06-15 Michal Brzezinski

We study here relations between three inequality indices, namely the Gini ($g$), Pietra ($p$) and Kolkata ($k$) introduced in 1912, 1915 and 2014 respectively and all are derived from the Lorenz function $L(x)$ introduced in 1905. The…

物理与社会 · 物理学 2026-03-17 Asim Ghosh , Bikas K. Chakrabarti

We propose an efficient estimation method for the income Pareto exponent when only certain top income shares are observable. Our estimator is based on the asymptotic theory of weighted sums of order statistics and the efficient minimum…

统计理论 · 数学 2020-07-23 Alexis Akira Toda , Yulong Wang

Present human languages display slightly asymmetric log-normal (Gauss) distribution for size [1-3], whereas present cities follow power law (Pareto-Zipf law)[4]. Our model considers the competition between languages and that between cities…

计算物理 · 物理学 2007-05-23 Caglar Tuncay

Consensus about the universality of the power law feature in complex networks is experiencing profound challenges. To shine fresh light on this controversy, we propose a generic theoretical framework in order to examine the power law…

物理与社会 · 物理学 2021-05-24 Xiaojun Zhang , Zheng He , Liwei Zhang , Lez Rayman-Bacchus , Yue Xiao , Shuhui Shen

Many socioeconomic studies have been carried out to explain the phenomenon of gentrification. Although results of these works shed light on the process around this phenomenon, a perspective which focuses on the relationship between city…

物理与社会 · 物理学 2014-11-13 Alessandro Venerandi , Mattia Zanella , Ombretta Romice , Sergio Porta

The Kinetic Gas Theory like two-agent money exchange models, recently introduced in the Econophysics of Wealth distributions, are revisited. The emergence of Boltzmann-Gibbs like distribution of individual money to Pareto's law in the tail…

物理与社会 · 物理学 2009-11-11 Abhijit Kar Gupta

In this invited book chapter, we draw the reader to a brief review of the different Kinetic Exchange Models (KEMs) that have gradually developed for markets and how they can be employed to quantitatively study inequalities (the Gini Index…

物理与社会 · 物理学 2023-10-31 Sanjukta Paul , Bikas K. Chakrabarti

We study the frequency distribution of family names. From a common data base, we count the number of people who share the same family name. This is the size of the family. We find that (i) the total number of different family names in a…

统计力学 · 物理学 2009-10-31 Sasuke Miyazima , Youngki Lee , Tomomasa Nagamine , Hiroaki Miyajima

We analyze an ideal gas like model of a trading market with quenched random saving factors for its agents and show that the steady state income ($m$) distribution $P(m)$ in the model has a power law tail with Pareto index $\nu$ exactly…

其他凝聚态物理 · 物理学 2009-11-11 Arnab Chatterjee , Bikas K. Chakrabarti , Robin B. Stinchcombe

This study examines how congestion pricing shapes housing market outcomes and spatial equity in New York City. Using high-frequency sales and rental data and a combination of propensity score matching difference-in-differences, geographic…

综合经济学 · 经济学 2025-11-18 Mingzhi Xiao , Yuki Takayama

In earlier work, we derived a nonlinear, nonlocal Fokker-Planck equation for the Yard-Sale Model of asset exchange. In the absence of redistribution, we showed that the Gini coefficient is a Lyapunov functional for this model, tending to…

物理与社会 · 物理学 2016-02-23 Bruce M. Boghosian , Adrian Devitt-Lee , Merek Johnson , Jeremy A. Marcq , Hongyan Wang

We construct a model of wealth distribution, based on an interactive multiplicative stochastic process on static complex networks. Through numerical simulations we show that a decrease in the number of links discourages equality in wealth…

统计力学 · 物理学 2007-05-23 Wataru Souma , Yoshi Fujiwara , Hideaki Aoyama

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure…

应用统计 · 统计学 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

The quotient of random variables with normal distributions is examined and proven to have have power law decay, with density $f\left( x\right) \simeq f_{0}x^{-2}$, with the coefficient depending on the means and variances of the numerator…

数理金融 · 定量金融 2018-03-06 Carey Caginalp , Gunduz Caginalp