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We study the dynamics of individual agents in some kinetic models of wealth exchange, particularly, the models with savings. For the model with uniform savings, agents perform simple random walks in the "wealth space". On the other hand, we…

Physics and Society · Physics 2011-01-04 Arnab Chatterjee , Parongama Sen

How do individuals accumulate wealth as they interact economically? We outline the consequences of a simple microscopic model in which repeated pairwise exchanges of assets between individuals build the wealth distribution of a population.…

Physics and Society · Physics 2010-08-31 P. L. Krapivsky , S. Redner

Simple agent based exchange models are a commonplace in the study of wealth distribution of artificial societies. Generally, each agent is characterized by its wealth and by a risk-aversion factor, and random exchanges between agents allow…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 G. M. Caon , S. Goncalves , J. R. Iglesias

The kinetic exchange model has gained popularity in the field of statistical mechanics for investigating wealth interaction. Traditionally, kinetic exchange models have been studied without considering preferential interactions. However, in…

Physics and Society · Physics 2023-05-26 Suchismita Banerjee

We introduce and discuss a nonlinear kinetic equation of Boltzmann type which describes the influence of knowledge in the evolution of wealth in a system of agents which interact through the binary trades introduced in Cordier, Pareschi,…

General Finance · Quantitative Finance 2015-06-18 Lorenzo Pareschi , Giuseppe Toscani

Simple agent based exchange models are a commonplace in the study of wealth distribution in an artificial economy. Generally, in a system that is composed of many agents characterized by their wealth and risk-aversion factor, two agents are…

Statistical Mechanics · Physics 2020-06-24 Ben-Hur Francisco Cardoso , Sebastián Gonçalves , José Roberto Iglesias

We present a minimal agent-based model of interacting agents characterized by their wealth to study taxation and inequality in a non-conservative economy. Wealth evolves through an extremal stochastic replacement process in which the…

Physics and Society · Physics 2026-05-05 Lautaro Giordano , Sebastian Gonçalves , José Roberto Iglesias , María Fabiana Laguna

We present a simplified model for the exploitation of finite resources by interacting agents, where each agent receives a random fraction of the available resources. An extremal dynamics ensures that the poorest agent has a chance to change…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 S. Pianegonda , J. R. Iglesias , G. Abramson , J. L. Vega

The Kinetic Gas Theory like two-agent money exchange models, recently introduced in the Econophysics of Wealth distributions, are revisited. The emergence of Boltzmann-Gibbs like distribution of individual money to Pareto's law in the tail…

Physics and Society · Physics 2009-11-11 Abhijit Kar Gupta

Models in econophysics, i.e., the emerging field of statistical physics that applies the main concepts of traditional physics to economics, typically consist of large systems of economic agents who are characterized by the amount of money…

Probability · Mathematics 2017-03-08 Nicolas Lanchier

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

Physics and Society · Physics 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

The distribution of income and wealth in developed economies exhibits a robust two-class structure: an exponential (Boltzmann--Gibbs) bulk covering $\sim\!97\%$ of the population, and a power-law (Pareto) tail in the upper $\sim\!3\%$. We…

Physics and Society · Physics 2026-04-28 Robert T. Nachtrieb

A deterministic system of interacting agents is considered as a model for economic dynamics. The dynamics of the system is described by a coupled map lattice with near neighbor interactions. The evolution of each agent results from the…

General Finance · Quantitative Finance 2009-11-13 J. Gonzalez-Estevez , M. G. Cosenza , R. Lopez-Ruiz , J. R. Sanchez

In a social group its members are caled here agents. Any two agents from the group may interact. The interaction consists of the exchange of information and it costs some energy. There exist subgroups of interacting agents which are…

Statistical Mechanics · Physics 2021-08-19 Ondrej Hudak , Jana Tothova

Here we present an agent-based model where agents interact with other agents by playing a hybrid of dictator and ultimatum games in a co-evolving social network. The basic assumption about the behaviour of the agents in both games is that…

Physics and Society · Physics 2020-08-20 Jan E. Snellman , Rafael Barrio , Kimmo Kaski

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

This paper presents a model of capital accumulation for a large number of heterogenous producer-consumers in an exchange space in which interactions depend on agents' positions. Each agent is described by his production, consumption, stock…

General Finance · Quantitative Finance 2019-09-26 Pierre Gosselin , Aïleen Lotz , Marc Wambst

We present an agent-based model of economic exchange in a society composed of two groups, representing two social groups and with different internal protection rules for the poor agents. The goal is to address the emerging wealth…

Physics and Society · Physics 2025-05-01 Thiago Dias , Sebastián Gonçalves

We revisit a recently introduced agent model[ACS {\bf 11}, 99 (2008)], where economic growth is a consequence of education (human capital formation) and innovation, and investigate the influence of the agents' social network, both on an…

General Finance · Quantitative Finance 2009-11-13 Teresa Vaz Martins , Tanya Araujo , Maria Augusta Santos , Miguel St Aubyn

We present a simple model of the emergence of the division of labor and the development of a system of resource subsidy from an agent-based model of directed resource production with variable degrees of trust between the agents. The model…

Adaptation and Self-Organizing Systems · Physics 2015-05-14 Nicholas Guttenberg , Nigel Goldenfeld