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The recent book by T. Piketty (Capital in the Twenty-First Century) promoted the important issue of wealth inequality. In the last twenty years, physicists and mathematicians developed models to derive the wealth distribution using discrete…

Probability · Mathematics 2021-07-19 Bertram Düring , Nicos Georgiou , Enrico Scalas

Aging is a fundamental aspect of living systems that undergo a progressive deterioration of physiological function with age and an increase of vulnerability to disease and death. Living systems, known as complex systems, require complexity…

Populations and Evolution · Quantitative Biology 2010-11-15 Byung Mook Weon , Jung Ho Je

Why are human societies unstable? Theories based on the observation of recurring patterns in historical data indicate that economic inequality, as well as social factors are key drivers. So far, models of this phenomenon are more…

Physics and Society · Physics 2025-06-24 Alexander Jochim , Stefan Bornholdt

Biological evolution depends on the passing down to subsequent generations of genetic information encoding beneficial traits, and on the removal of unfit individuals by a selection mechanism. However, selection acts on phenotypes, and is…

Populations and Evolution · Quantitative Biology 2026-05-01 Bastien Mallein , Francesco Paparella , Emmanuel Schertzer , Zsófia Talyigás

In this work we consider an agent based model in order to study the wealth distribution problem where the interchange is determined with a symmetric zero sum game. Simultaneously, the agents update their way of play trying to learn the…

Physics and Society · Physics 2017-09-12 Juan Pablo Pinasco , Mauro Rodriguez Cartabia , Nicolas Saintier

How fast does a population evolve from one fitness peak to another? We study the dynamics of evolving, asexually reproducing populations in which a certain number of mutations jointly confer a fitness advantage. We consider the time until a…

Populations and Evolution · Quantitative Biology 2010-03-31 Chaitanya S. Gokhale , Yoh Iwasa , Martin A. Nowak , Arne Traulsen

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus…

General Finance · Quantitative Finance 2017-05-03 M. L. Bertotti , G. Modanese

Biological evolution is realised through the same mechanisms of birth and death that underlie change in population density. The deep interdependence between ecology and evolution is well-established, and recent models focus on integrating…

Populations and Evolution · Quantitative Biology 2025-10-14 A. Bradley Duthie , Victor J. Luque

We employ a flexible parametric model to estimate global income, health, and education distributions from 1980 to 2015. Using these marginal distributions within a copula-based framework, we construct a global joint distribution of…

Applications · Statistics 2024-10-31 Koen Decancq , Vanesa Jorda

Using both single-index measures and stochastic dominance concepts, we show how Bayesian inference can be used to make multivariate welfare comparisons. A four-dimensional distribution for the well-being attributes income, mental health,…

Econometrics · Economics 2024-06-21 David Gunawan , William Griffiths , Duangkamon Chotikapanich

Social evolutionary theory seeks to explain increases in the scale and complexity of human societies, from origins to present. Over the course of the twentieth century, social evolutionary theory largely fell out of favor as a way of…

Multiagent Systems · Computer Science 2025-02-27 David H. Wolpert , Kyle Harper

Various papers demonstrate the importance of inequality, poverty and the size of the middle class for economic growth. When explaining why these measures of the income distribution are added to the growth regression, it is often mentioned…

Econometrics · Economics 2019-03-07 Max Köhler , Stefan Sperlich , Jisu Yoon

The question as to why most higher organisms reproduce sexually has remained open despite extensive research, and has been called "the queen of problems in evolutionary biology". Theories dating back to Weismann have suggested that the key…

Populations and Evolution · Quantitative Biology 2015-09-04 Andrew Lewis-Pye , Antonio Montalban

Urban displacement - when a household is forced to relocate due to conditions affecting its home or surroundings - often results from rising housing costs, particularly in wealthy, prosperous cities. However, its dynamics are complex and…

Physics and Society · Physics 2018-08-29 Geoff Boeing

Competition between individuals drives the evolution of whole species. Although the fittest individuals survive the longest and produce the most offspring, in some circumstances the resulting species may not be optimally fit. Here, using…

Populations and Evolution · Quantitative Biology 2015-09-24 Tim Rogers , Alan J. McKane

Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment…

Populations and Evolution · Quantitative Biology 2020-07-28 Ami Taitelbaum , Robert West , Michael Assaf , Mauro Mobilia

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…

Statistical Mechanics · Physics 2008-12-02 Nicola Scafetta , Sergio Picozzi , Bruce J. West

Taxation constitutes a fundamental component of modern national economic systems, exerting profound impacts on both societal functioning and governmental operations. In this paper, we employ an interdependent network approach to model the…

Physics and Society · Physics 2026-04-13 Qin Li , Ting Ling , Minyu Feng , Attila Szolnoki

In this work we use an inelastic scattering process of particles to propose a model able to reproduce the salient features of the wealth distribution in an economy by including taxes to each trading process and redistributing that collected…

General Finance · Quantitative Finance 2008-12-02 Sebastian D. Guala

Aiming to describe the wealth distribution evolution, several models consider an ensemble of interacting economic agents that exchange wealth in binary fashion. Intriguingly, models that consider an unbiased market, that gives to each agent…

General Finance · Quantitative Finance 2021-06-30 Ben-Hur Francisco Cardoso , Sebastián Gonçalves , José Roberto Iglesias