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Many models of market dynamics make use of the idea of wealth exchanges among economic agents. A simple analogy compares the wealth in a society with the energy in a physical system, and the trade between agents to the energy exchange…

Physics and Society · Physics 2010-07-14 J. R. Iglesias

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

Theoretical Economics · Economics 2023-03-02 Valerio Astuti

In the last decade, a large body of literature has been developed to explain the universal features of inequality in terms of income and wealth. By now, it is established that the distributions of income and wealth in various economies show…

General Finance · Quantitative Finance 2016-11-25 Anindya S. Chakrabarti , Bikas K. Chakrabarti

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 present a stochastic, agent-based, binary-transaction Asset-Exchange Model (AEM) for wealth distribution that allows for agents with negative wealth. This model retains certain features of prior AEMs such as redistribution and…

General Finance · Quantitative Finance 2018-02-16 Jie Li , Bruce M. Boghosian , Chengli Li

The "Money Exchange Model" is a type of agent-based simulation model used to study how wealth distribution and inequality evolve through monetary exchanges between individuals. The primary focus of this model is to identify the limiting…

Probability · Mathematics 2025-01-07 Hironobu Sakagawa

We introduce and study a model of an interacting population of agents who collaborate in groups which compete for limited resources. Groups are formed by random matching agents and their worth is determined by the sum of the efforts…

Physics and Society · Physics 2009-11-13 Emanuele Pugliese , Claudio Castellano , Matteo Marsili , Luciano Pietronero

We investigate the relation between economic growth and equality in a modified version of the agent-based asset exchange model (AEM). The modified model is a driven system that for a range of parameter space is effectively ergodic in the…

General Finance · Quantitative Finance 2013-05-06 Kang Liu , N. Lubbers , W. Klein , J. Tobochnik , B. Boghosian , Harvey Gould

Many recent models of trade dynamics use the simple idea of wealth exchanges among economic agents in order to obtain a stable or equilibrium distribution of wealth among the agents. In particular, a plain analogy compares the wealth in a…

General Finance · Quantitative Finance 2015-05-30 J. R. Iglesias , R. M. C. de Almeida

We investigate a model of stratified economic interactions between agents when the notion of spatial location is introduced. The agents are placed on a network with near-neighbor connections. Interactions between neighbors can occur only if…

Physics and Society · Physics 2015-05-20 J. L. Herrera , M. G. Cosenza , K. Tucci

Cooperation between individuals is emergent in all parts of society, yet mechanistic reasons for this emergence is ill understood in the literature. A specific example of this is insurance. Recent work has, though, shown that assuming the…

Physics and Society · Physics 2024-03-20 Tobias Wand , Oliver Kamps , Benjamin Skjold

Behavioral Finance has become a challenge to the scientific community. Based on the assumption that behavioral aspects of investors may explain some features of the Stock Market, we propose an agent based model to study quantitatively this…

General Finance · Quantitative Finance 2017-11-23 F. M. Stefan , A. P. F. Atman

We propose in this work a kinetic wealth-exchange model of economic growth by introducing saving as a non consumed fraction of production. In this new model, which starts also from microeconomic arguments, it is found that economic…

General Finance · Quantitative Finance 2019-03-07 D. S. Quevedo , C. J. Quimbay

In order to describe the properties of the observed distribution of wealth in a population, most economic models rely on the existence of an asymptotic equilibrium state. In addition, the process generating the equilibrium distribution is…

Statistical Mechanics · Physics 2024-02-16 Valerio Astuti

The rich-get-richer mechanism (agents increase their ``wealth'' randomly at a rate proportional to their holdings) is often invoked to explain the Pareto power-law distribution observed in many physical situations, such as the degree…

General Finance · Quantitative Finance 2008-12-02 James P. Bagrow , Jie Sun , Daniel ben-Avraham

We introduce a class of Kac-like kinetic equations on the real line, with general random collisional rules, which include as particular cases models for wealth redistribution in an agent-based market or models for granular gases with a…

Mathematical Physics · Physics 2015-05-20 Federico Bassetti , Lucia Ladelli , Giuseppe Toscani

In this paper, we consider a simple kinetic model of economy involving both exchanges between agents and speculative trading. We show that the kinetic model admits non trivial quasi-stationary states with power law tails of Pareto type. In…

Analysis of PDEs · Mathematics 2009-11-10 Stephane Cordier , Lorenzo Pareschi , Giuseppe Toscani

In the last decade, stochastic models have shown to be very useful for quantitative modelling of social processes. Here, a configurational master equation for the description of behavioral changes by pair interactions of individuals is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

We present and analyze a model for the evolution of the wealth distribution within a heterogeneous economic environment. The model considers a system of rational agents interacting in a game theoretical framework, through fairly general…

General Finance · Quantitative Finance 2015-06-16 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

We present here a general framework, expressed by a system of nonlinear differential equations, suitable for the modelling of taxation and redistribution in a closed (trading market) society. This framework allows to describe the evolution…

Physics and Society · Physics 2011-09-06 Maria Letizia Bertotti , Giovanni Modanese