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Power-law distributions with various exponents are studied. We first introduce a simple and generic model that reproduces Zipf's law. We can regard this model both as the time evolution of the population of cities and that of the asset…

Statistical Mechanics · Physics 2007-05-23 Kenji Kawamura , Naomichi Hatano

The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

Statistical Mechanics · Physics 2009-11-10 Juan C. Ferrero

Selection, the tendency of some traits to become more frequent than others in a population under the influence of some (natural or artificial) agency, is a key component of Darwinian evolution and countless other natural and social…

Populations and Evolution · Quantitative Biology 2017-05-24 Matteo Smerlak , Ahmed Youssef

The paper covers the new model of wage distribution in typical group of people. The model provides the opportunity to reparameterize applicable income distribution model: Pareto, logarithmically normal, logarithmically logistic, Dagum etc.…

General Finance · Quantitative Finance 2013-09-17 Dmitry Schmerling

In capitalist societies, only a single right can be fully exerted without constraints of any kind: the limitless accumulation of wealth. Such imperative or prime axiom is the ultimate cause of the raising waves of inequalities observed…

Physics and Society · Physics 2025-01-16 Iago Nascimento Barros , Marcelo Lobato Martins

The formation and stability of social hierarchies is a question of general relevance. Here, we propose a simple generalized theoretical model for establishing social hierarchy via pair-wise interactions between individuals and investigate…

Physics and Society · Physics 2023-11-28 Joseph Hickey , Jörn Davidsen

Although cumulative family name distributions in many countries exhibit power-law forms, there also exist counterexamples. The origin of different family name distributions across countries is discussed analytically in the framework of a…

Physics and Society · Physics 2008-07-15 Seung Ki Baek , Hoang Anh Tuan Kiet , Beom Jun Kim

The aim of this work is to establish the personal income distribution from the elementary constituents of a free market; products of a representative good and agents forming the economic network. The economy is treated as a self-organized…

General Finance · Quantitative Finance 2015-06-04 Joachim Kaldasch

We introduce a minimalist dynamical model of wealth evolution and wealth sharing among $N$ agents as a platform to compare the relative merits of altruism and individualism. In our model, the wealth of each agent independently evolves by…

Physics and Society · Physics 2021-10-20 B. De Bruyne , J. Randon-Furling , S. Redner

A strong demographic Allee effect in which the expected population growth rate is negative below a certain critical population size can cause high extinction probabilities in small introduced populations. However, many species are…

Populations and Evolution · Quantitative Biology 2013-11-22 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

We consider a simple model of a closed economic system where the total money is conserved and the number of economic agents is fixed. In analogy to statistical systems in equilibrium, money and the average money per economic agent are…

Statistical Mechanics · Physics 2009-10-31 Anirban Chakraborti , Bikas K. Chakrabarti

We refer to an individual holding a non-negligible fraction of the country's total wealth as an oligarch. We explain how a model due to Boghosian et al. can be used to explore the effects of taxation on the emergence of oligarchs. The model…

Physics and Society · Physics 2023-08-04 Bruce Boghosian , Christoph Börgers

This paper reviews recent attempts at modelling inequality of wealth as an emergent phenomenon of interacting-agent processes. We point out that recent models of wealth condensation which draw their inspiration from molecular dynamics have,…

Multiagent Systems · Computer Science 2007-05-23 Thomas Lux

We consider the evolution of populations under the joint action of mutation and differential reproduction, or selection. The population is modelled as a finite-type Markov branching process in continuous time, and the associated…

Populations and Evolution · Quantitative Biology 2009-02-23 Ellen Baake , Hans-Otto Georgii

For taxonomic levels higher than species, the abundance distributions of number of subtaxa per taxon tend to approximate power laws, but often show strong deviationns from such a law. Previously, these deviations were attributed to…

Biological Physics · Physics 2009-11-06 Johan Chu , Chris Adami

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…

Statistical Finance · Quantitative Finance 2015-06-15 Michal Brzezinski

"The rich are getting richer" implies that the population income distributions are getting more right skewed and heavily tailed. For such distributions, the mean is not the best measure of the center, but the classical indices of income…

Methodology · Statistics 2023-08-08 Vytaras Brazauskas , Francesca Greselin , Ricardas Zitikis

Traditionally, heritability has been estimated using family-based methods such as twin studies. Advancements in molecular genomics have facilitated the development of alternative methods that utilise large samples of unrelated or related…

In this paper we present detailed simulation results on the wealth distribution model with quenched saving propensities. Unlike other wealth distribution models where the saving propensities are either zero or constant, this model is not…

Physics and Society · Physics 2008-12-02 K. Bhattacharya , G. Mukherjee , S. S. Manna

The analysis of the USA 2001 income distribution shows that it can be described by at least two main components, which obey the generalized Tsallis statistics with different values of the q parameter. Theoretical calculations using the gas…

General Finance · Quantitative Finance 2011-05-18 Juan C. Ferrero
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