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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…

概率论 · 数学 2025-01-07 Hironobu Sakagawa

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…

概率论 · 数学 2017-03-08 Nicolas Lanchier

In this paper, we continue our analysis of spatial versions of agent-based models for the dynamics of money that have been introduced in the statistical physics literature, focusing on two models with debts. Both models consist of systems…

概率论 · 数学 2019-10-02 Nicolas Lanchier , Stephanie Reed

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…

概率论 · 数学 2022-08-12 Fei Cao , Pierre-Emmanuel Jabin

We consider a simple model of a closed economic system where the total money is conserved and the number of economic agents is fixed. In analogy to statistical systems in equilibrium, money and the average money per economic agent are…

统计力学 · 物理学 2009-10-31 Anirban Chakraborti , Bikas K. Chakrabarti

This paper studies an interacting particle system of interest in econophysics inspired from a model introduced in the physics literature. The original model consists of the customers of a single bank characterized by their capital, and the…

概率论 · 数学 2022-01-31 Nicolas Lanchier , Stephanie Reed

We study the poor-biased model for money exchange introduced in [2]: agents are being randomly picked at a rate proportional to their current wealth, and then the selected agent gives a dollar to another agent picked uniformly at random.…

概率论 · 数学 2025-01-15 Roberto Cortez , Fei Cao

We investigate the uniform reshuffling model for money exchanges: two agents picked uniformly at random redistribute their dollars between them. This stochastic dynamics is of mean-field type and eventually leads to a exponential…

概率论 · 数学 2021-04-06 Fei Cao , Pierre-Emmanuel Jabin , Sebastien Motsch

We study the distributions of money in a simple closed economic system for different types of monetary transactions. We know that for arbitrary and random sharing but locally conserving money transactions, the money distribution goes to the…

统计力学 · 物理学 2009-11-07 Anirban Chakraborti

Boltzmann-Gibbs distribution arises as the statistical equilibrium probability distribution of money among the agents of a closed economic system where random and undirected exchanges are allowed. When considering a model with uniform…

适应与自组织系统 · 物理学 2015-06-11 Ismael Martinez-Martinez , Ricardo Lopez-Ruiz

This Chapter reviews statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the…

统计金融 · 定量金融 2012-04-10 Victor M. Yakovenko

We propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

物理与社会 · 物理学 2015-06-22 Sanchari Goswami , Parongama Sen

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…

物理与社会 · 物理学 2011-01-04 Arnab Chatterjee , Parongama Sen

We have studied numerically the statistical mechanics of the dynamic phenomena, including money circulation and economic mobility, in some transfer models. The models on which our investigations were performed are the basic model proposed…

物理与社会 · 物理学 2008-12-02 Yougui Wang , Ning Ding

We study a statistical model consisting of $N$ basic units which interact with each other by exchanging a physical entity, according to a given microscopic random law, depending on a parameter $\lambda$. We focus on the equilibrium or…

统计力学 · 物理学 2009-11-10 Marco Patriarca , Anirban Chakraborti , Kimmo Kaski

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…

综合金融 · 定量金融 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

We discuss the equivalence between kinetic wealth-exchange models, in which agents exchange wealth during trades, and mechanical models of particles, exchanging energy during collisions. The universality of the underlying dynamics is shown…

综合金融 · 定量金融 2009-11-13 Anirban Chakraborti , Marco Patriarca

Recently, in order to explore the mechanism behind wealth or income distribution, several models have been proposed by applying principles of statistical mechanics. These models share some characteristics, such as consisting of a group of…

物理与社会 · 物理学 2008-12-02 Yougui Wang , Ning Ding , Ning Xi

The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

统计力学 · 物理学 2009-11-10 Juan C. Ferrero

A class of conserved models of wealth distributions are studied where wealth (or money) is assumed to be exchanged between a pair of agents in a population like the elastically colliding molecules of a gas exchanging energy. All sorts of…

物理与社会 · 物理学 2008-12-02 Abhijit Kar Gupta
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