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Explaining empirically observed wealth and income distributions, featuring power-law tails alongside gamma or log-normal bulk shapes, challenges models that focus on either pairwise competition or individual investment mechanisms. This…

Physics and Society · Physics 2025-05-19 Yuri Ono , Atsushi Ishida

This paper combines ideas from classical economics and modern finance with the general Lotka-Volterra models of Levy & Solomon to provide straightforward explanations of wealth and income distributions. Using a simple and realistic economic…

General Finance · Quantitative Finance 2011-05-30 Geoff Willis

We model the dynamics of the Schelling model for agents described simply by a continuously distributed variable - wealth. Agents move to neighborhoods where their wealth is not lesser than that of some proportion of their neighbors, the…

Physics and Society · Physics 2017-05-23 Anand Sahasranaman , Henrik Jeldtoft Jensen

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 develop a general framework to analyze the distribution functions of wealth and income. Within this framework we study wealth distribution in a society by using a model which turns on two-party trading for poor people while for rich…

Statistical Mechanics · Physics 2008-12-02 Arnab Das , Sudhakar Yarlagadda

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

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

We investigate the unbiased model for money exchanges: agents give at random time a dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a geometric distribution of wealth (shown empirically by…

Probability · Mathematics 2022-08-12 Fei Cao , Pierre-Emmanuel Jabin

A mean-field like stochastic evolution equation with growth and reset terms (LGGR model) is used to model wealth distribution in modern societies. The stationary solution of the model leads to an analytical form for the density function…

Physics and Society · Physics 2021-07-14 Istvan Gere , Szabolcs Kelemen , Geza Toth , Tamas Biro , Zoltan Neda

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto's wealth power law distribution. One important factor to be considered is the existence of risk aversion. In…

Statistical Mechanics · Physics 2009-11-10 J. R. Iglesias , S. Goncalves , G. Abramson , J. L. Vega

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…

General Economics · Economics 2024-12-18 Jake J. Xia

We briefly review results on nonlinear kinetic equation of Boltzmann type which describe the evolution of wealth in a simple agents market. The mathematical structure of the underlying kinetic equations allows to use well-known techniques…

Statistical Mechanics · Physics 2010-05-28 Giuseppe Toscani

It is known that asset exchange models with symmetric interaction between agents show either a Gibbs/log-normal distribution of assets among the agents or condensation of the entire wealth in the hands of a single agent, depending upon the…

Physics and Society · Physics 2008-12-02 Sitabhra Sinha

We analyze wealth condensation for a wide class of stochastic economy models on the basis of the economic analog of thermodynamic potentials, termed transfer potentials. The economy model is based on three common transfers modes of wealth:…

Physics and Society · Physics 2009-11-11 Dieter Braun

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…

Statistical Mechanics · Physics 2009-11-10 Nicola Scafetta , Bruce J. West , Sergio Picozzi

In the so-called ``fair'' models of peer-to-peer wealth exchanges, economic inequality tends to reach its maximum value asymptotically. This global trend is evident as the richest continuously accumulate a larger share of wealth at the…

Physics and Society · Physics 2023-08-22 Thiago Dias , Sebastián Gonçalves

In this work we study the individual strategies carried out by agents undergoing transactions in wealth exchange models. We analyze the role of risk propensity in the behavior of the agents and find a critical risk, such that agents with…

Physics and Society · Physics 2021-02-03 Julian Neñer , María Fabiana Laguna

A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

General Finance · Quantitative Finance 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

While wealth distribution in the world is highly skewed and heavy-tailed, human talent - as the majority of individual features - is normally distributed. In a recent computational study by Pluchino et al [Talent vs luck: The role of…

Physics and Society · Physics 2020-06-16 Damien Challet , Alessandro Pluchino , Alessio Emanuele Biondo , Andrea Rapisarda

An important class of economic models involve agents whose wealth changes due to transactions with other agents. Several authors have pointed out an analogy with kinetic theory, which describes molecules whose momentum and energy changes…

Physics and Society · Physics 2014-07-22 Bruce M. Boghosian