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We address the issue of the dynamics of wealth accumulation and economic crisis triggered by extreme inequality, attempting to stick to most possibly intrinsic assumptions. Our general framework is that of pure or modified multiplicative…

Economics · Quantitative Finance 2017-05-17 Henri Benisty

We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or…

General Finance · Quantitative Finance 2015-05-07 Els Heinsalu , Marco Patriarca

Social and economic inequality is a plague of the XXI Century. It is continuously widening, as the wealth of a relatively small group increases and, therefore, the rest of the world shares a shrinking fraction of resources. This situation…

General Finance · Quantitative Finance 2021-02-03 José Roberto Iglesias , Ben-Hur Francisco Cardoso , Sebastián Gonçalves

In view of some persistent recent reports on a singular kind of growth of the world wealth inequality, where a finite (often handful) number of people tend to possess more than the wealth of the planet's 50\% population, we explore here if…

Physics and Society · Physics 2023-08-09 Asim Ghosh , Suchismita Banerjee , Sanchari Goswami , Manipushpak Mitra , Bikas K. Chakrabarti

Economic systems are similar with physic systems for their large number of individuals and the exist of equilibrium. In this paper, we present a model applying the equilibrium statistical model in economic systems. Consistent with…

General Finance · Quantitative Finance 2015-04-17 Zhiwu Zheng

Owing to the analogies between the problem of wealth redistribution with taxation in a multi-agent society, we introduce and discuss a kinetic model describing the statistical distributions in time of the sizes of groups of biological…

Populations and Evolution · Quantitative Biology 2023-11-15 Giuseppe Toscani , Mattia Zanella

We review the statistical mechanics approach to the study of the emerging collective behavior of systems of heterogeneous interacting agents. The general framework is presented through examples is such contexts as ecosystem dynamics and…

Physics and Society · Physics 2007-05-23 Andrea De Martino , Matteo Marsili

We study a minimalist kinetic model for economies. A system of agents with local trading rules display emergent demand behaviour. We examine the resulting wealth distribution to look for non-thermal behaviour. We compare and contrast this…

General Finance · Quantitative Finance 2008-12-02 Wan Ahmad Tajuddin Wan Abdullah , Sidiq Mohamad Khidzir

Wealth inequality remains a critical socioeconomic challenge, driven by systemic dynamics and self-reinforcing mechanisms that amplify the economic imbalances. Simplified models from statistical physics provide valuable insights into the…

Physics and Society · Physics 2026-02-16 Lautaro Giordano , Ignacio Cortés , Sebastian Gonçalves , María Fabiana Laguna

We develop a general framework, based on Boltzmann transport theory, to analyze the distribution of wealth in societies. Within this framework we derive the distribution function of wealth by using a two-party trading model for the poor…

Statistical Mechanics · Physics 2016-08-31 Arnab Das , Sudhakar Yarlagadda

Using a model based on generalised Lotka Volterra dynamics together with some recent results for the solution of generalised Langevin equations, we show that the equilibrium solution for the probability distribution of wealth has two…

Statistical Mechanics · Physics 2008-12-10 Peter Richmond , Sorin Solomon

How can we limit wealth disparities while stimulating economic flows in sustainable societies? To examine the link between these concepts, we propose an econophysics asset exchange model with the surplus stock of the wealthy. The wealthy…

General Economics · Economics 2021-11-08 Takeshi Kato , Yoshinori Hiroi

Using the Generalised Lotka Volterra (GLV) model adapted to deal with muti agent systems we can investigate economic systems from a general viewpoint and obtain generic features common to most economies. Assuming only weak generic…

Statistical Mechanics · Physics 2009-11-07 Sorin Solomon , Peter Richmond

This Colloquium reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that…

Statistical Finance · Quantitative Finance 2009-12-24 Victor M. Yakovenko , J. Barkley Rosser

Exponential distribution is ubiquitous in the framework of multi-agent systems. An alternative approach with an economic motivation to derive the exponential distribution in the framework of iterations in the space of distributions is…

General Finance · Quantitative Finance 2010-11-15 Ricardo Lopez-Ruiz

The statistical mechanics approach to wealth distribution is based on the conservative kinetic multi-agent model for money exchange, where the local interaction rule between the agents is analogous to the elastic particle scattering…

General Finance · Quantitative Finance 2016-06-16 M. Andrecut

We focus on the problem of how wealth is distributed among the units of a networked economic system. We first review the empirical results documenting that in many economies the wealth distribution is described by a combination of…

General Finance · Quantitative Finance 2008-12-02 Diego Garlaschelli , Maria I. Loffredo

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

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

Multi-agent models have been used in many contexts to study generic collective behavior. Similarly, complex networks have become very popular because of the diversity of growth rules giving rise to scale-free behavior. Here we study…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Z. Burda , A. Krzywicki , O. C. Martin