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Wealth distribution is a complex and critical aspect of any society. Information exchange is considered to have played a role in shaping wealth distribution patterns, but the specific dynamic mechanism is still unclear. In this research, we…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Yang Shao , Hirokazu Atsumori , Tadayuki Matsumura , Kanako Esaki , Shunsuke Minusa , Hiroyuki Mizuno

The prevalence of wealth inequality propels us to characterize its origin and progression, via empirical and theoretical studies. The Yard-Sale(YS) model, in which a portion of the smaller wealth is transferred between two individuals,…

Physics and Society · Physics 2024-01-03 Hyun Gyu Lee , Deok-Sun Lee

Building on similarities between earthquakes and extreme financial events, we use a self-organized criticality-generating model to study herding and avalanche dynamics in financial markets. We consider a community of interacting investors,…

General Finance · Quantitative Finance 2015-06-17 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda , Dirk Helbing

The personal income distribution (PID) above the Pareto threshold is studied and modeled. A microeconomic model is proposed to simulate the PID and its evolution below and above the Pareto income threshold. The model balances processes of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Two kinetic exchange models are proposed to explore the dynamics of closed economic markets characterized by random exchanges, saving propensities, and collective transactions. Model I simulates a system where individual transactions occur…

Cellular Automata and Lattice Gases · Physics 2025-02-20 Chuandong Lin , Lijie Cui

A dynamic agent model is introduced with an annual random wealth multiplicative process followed by taxes paid according to a linear wealth-dependent tax rate. If poor agents pay higher tax rates than rich agents, eventually all wealth…

General Finance · Quantitative Finance 2017-11-17 Paulo Murilo Castro de Oliveira

The addition of wealth-attained advantage (WAA) to the Yard-Sale Model (YSM) of asset exchange has been demonstrated to induce wealth condensation. In a model of WAA for which the bias is a continuous function of the wealth difference of…

General Finance · Quantitative Finance 2016-08-23 Bruce M. Boghosian , Adrian Devitt-Lee , Hongyan Wang

We introduce and discuss a nonlinear kinetic equation of Boltzmann type which describes the evolution of wealth in a pure gambling process, where the entire sum of wealths of two agents is up for gambling, and randomly shared between the…

General Finance · Quantitative Finance 2015-05-18 Federico Bassetti , Giuseppe Toscani

Income and wealth distribution affect stability of a society to a large extent and high inequality affects it negatively. Moreover, in the case of developed countries, recently has been proven that inequality is closely related to all…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

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

We define and study a rather complex market model, inspired from the Santa Fe artificial market and the Minority Game. Agents have different strategies among which they can choose, according to their relative profitability, with the…

Condensed Matter · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud

Exponential distribution is ubiquitous in the framework of multi-agent systems. Usually, it appears as an equilibrium state in the asymptotic time evolution of statistical systems. It has been explained from very different perspectives. In…

Adaptation and Self-Organizing Systems · Physics 2011-03-10 Ricardo Lopez-Ruiz , Jose-Luis Lopez , Xavier Calbet

The higher-end tail of the wealth distribution in India is studied using recently published lists of the wealth of richest Indians between the years 2002-4. The resulting rank distribution seems to imply a power-law tail for the wealth…

Other Condensed Matter · Physics 2009-11-11 Sitabhra Sinha

In this work, we modify the affine wealth model of wealth distributions to examine the effects of nonconstant redistribution on the very wealthy. Previous studies of this model, restricted to flat redistribution schemes, have demonstrated…

General Finance · Quantitative Finance 2021-10-27 Sam L. Polk , Bruce M. Boghosian

Income and wealth allocation are foundational components of how economies operate. These are complex distributions, and it is hard to get a real sense for their dynamics using simplifications like average or median. One metric that…

General Economics · Economics 2023-04-21 Dave Costenaro

We investigate the classical Bennati-Dragulescu-Yakovenko (BDY) dollar exchange model introduced in \cite{dragulescu_statistical_2000} where the effects of wealth ceiling and wealth flooring are explored. In our model, $N$ identical…

Probability · Mathematics 2026-02-03 Fei Cao , Sebastien Motsch , Wendy Garcia Umbarita

Almost universally, wealth is not distributed uniformly within societies or economies. Even though wealth data have been collected in various forms for centuries, the origins for the observed wealth-disparity and social inequality are not…

Physics and Society · Physics 2015-06-19 Benedikt Fuchs , Stefan Thurner

This papers aims to establish the empirical relationship between income, net wealth and their joint distribution in a selected group of euro area countries. I estimate measures of dependence between income and net wealth using a…

General Economics · Economics 2023-04-28 Anna Stelzer

We develop an early warning system and subsequent optimal intervention policy to avoid the formation of disproportional dominance (`winner-takes-all') in growing complex networks. This is modeled as a system of interacting agents, whereby…

Physics and Society · Physics 2020-09-17 Sandro Lera , Alex 'Sandy' Pentland , Didier Sornette

This paper consider a highly general dissemination model that keeps track of the stochastic evolution of the distribution of wealth over a set of agents. There are two types of events: (i) units of wealth externally arrive, and (ii) units…

Probability · Mathematics 2022-07-12 K. M. D. Chan , M. R. H. Mandjes
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