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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

Power law distributions characterise several natural and social phenomena. The Zipf law for cities is one of those. The study views the question of whether that global regularity is independent of different spatial distributions of cities.…

物理与社会 · 物理学 2021-06-09 Rolf Bergs

This paper explores the relationship between the inner economical structure of communities and their population distribution through a rank-rank analysis of official data, along statistical physics ideas within two techniques. The data is…

经济学 · 定量金融 2015-08-17 Roy Cerqueti , Marcel Ausloos

The effects of saving and spending patterns on holding time distribution of money are investigated based on the ideal gas-like models. We show the steady-state distribution obeys an exponential law when the saving factor is set uniformly,…

物理与社会 · 物理学 2009-11-11 Ning Ding , Ning Xi , Yougui Wang

In the context of the global obesity epidemic, it is important to know who becomes obese and why. However, the processes that determine the changing shape of Body Mass Index (BMI) distributions in high-income societies are not…

物理与社会 · 物理学 2018-02-07 John C. Lang , Hans De Sterck , Daniel M. Abrams

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…

We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscillatory manner. Such phenomena can be described by parabolic…

偏微分方程分析 · 数学 2021-05-04 Susely Figueroa Iglesias , Sepideh Mirrahimi

Urban scaling analysis, the study of how aggregated urban features vary with the population of an urban area, provides a promising framework for discovering commonalities across cities and uncovering dynamics shared by cities across time…

The dynamics of generic stochastic Lotka-Volterra (discrete logistic) systems of the form \cite{Solomon96a} $w_i (t+1) = \lambda(t) w_i (t) + a {\bar w (t)} - b w_i (t) {\bar w(t)}$ is studied by computer simulations. The variables $w_i$,…

adap-org · 物理学 2009-10-30 Ofer Biham , Ofer Malcai , Moshe Levy , Sorin Solomon

We applied Dirac distribution, Bose-Einstein distribution, and occasionally Boltzmann-Gibbs distribution in order to determine which is optimal for income distribution on a large pool of countries. The best fit to the data was observed in…

综合金融 · 定量金融 2016-03-29 Elvis Oltean , Fedor Kusmartsev

We investigate the effect of tax evasion on the income distribution and the inequality index of a society through a kinetic model described by a set of nonlinear ordinary differential equations. The model allows to compute the global…

综合金融 · 定量金融 2014-08-25 Maria Letizia Bertotti , Giovanni Modanese

In this paper, we propose that relations between high order moments of data distributions, for example between the skewness (S) and kurtosis (K), allow to point to theoretical models with understandable structural parameters. The…

应用统计 · 统计学 2018-07-19 Marcel Ausloos , Roy Cerqueti

We address the question of the growth of firm size. To this end, we analyze the Compustat data base comprising all publicly-traded United States manufacturing firms within the years 1974-1993. We find that the distribution of firm sizes…

We consider a heterogeneous agent-based economic model where economic agents have strictly bounded rationality and where income allocation strategies evolve through selective imitation. Income is calculated by a Cobb-Douglas type production…

交易与市场微观结构 · 定量金融 2010-09-15 Volker Nannen

Using a large quarterly macroeconomic dataset for the period 1960-2017, we document the ability of specific financial ratios from the housing market and firms' aggregate balance sheets to predict GDP over medium-term horizons in the United…

计量经济学 · 经济学 2024-01-22 Graziano Moramarco

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

We present a kinetic approach to the formation of urban agglomerations which is based on simple rules of immigration and emigration. In most cases, the Boltzmann-type kinetic description allows to obtain, within an asymptotic procedure, a…

物理与社会 · 物理学 2019-05-22 Stefano Gualandi , Giuseppe Toscani

This paper proposes the k-generalized distribution as a model for describing the distribution and dispersion of income within a population. Formulas for the shape, moments and standard tools for inequality measurement - such as the Lorenz…

综合金融 · 定量金融 2009-01-31 F. Clementi , T. Di Matteo , M. Gallegati , G. Kaniadakis

We report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to…

统计力学 · 物理学 2008-12-02 Wataru Souma

A stochastic model with a continuum of economic agents often involves shocks at both macro and micro levels. This can be formalized by a continuum of random variables that are conditionally independent given the macro level shocks. Based on…

概率论 · 数学 2014-10-07 Lei Qiao , Yeneng Sun , Zhixiang Zhang