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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…

Probability · Mathematics 2022-01-31 Nicolas Lanchier , Stephanie Reed

This paper is concerned with general spatially explicit versions of three stochastic models for the dynamics of money that have been introduced and studied numerically by statistical physicists: the uniform reshuffling model, the immediate…

Probability · Mathematics 2018-04-18 Nicolas Lanchier , Stephanie Reed

We investigate the unbiased model for money exchanges with collective debt limit: agents give at random time a dollar to one another as long as they have at least one dollar or they can borrow a dollar from a central bank if the bank is not…

Probability · Mathematics 2022-08-24 Fei Cao , Sébastien Motsch

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

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 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

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…

Statistical Finance · Quantitative Finance 2012-04-10 Victor M. Yakovenko

In this work, we investigate a biased dollar exchange model with collective debt limit, in which agents picked at random (with a rate depending on the amount of dollars they have) give at random time a dollar to another agent being picked…

Probability · Mathematics 2023-11-15 Fei Cao , Stephanie Reed

We briefly review 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 agents…

Statistical Finance · Quantitative Finance 2011-03-14 Victor M. Yakovenko

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…

Adaptation and Self-Organizing Systems · Physics 2015-06-11 Ismael Martinez-Martinez , Ricardo Lopez-Ruiz

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…

Physics and Society · Physics 2008-12-02 Yougui Wang , Ning Ding , Ning Xi

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.…

Probability · Mathematics 2025-01-15 Roberto Cortez , Fei Cao

This paper is concerned with a model in econophysics, the subfield of statistical physics that applies concepts from traditional physics to economics. In our model, economical agents are represented by the vertices of a connected graph and…

Probability · Mathematics 2017-04-25 Nicolas Lanchier , Stephanie Reed

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…

Statistical Mechanics · Physics 2009-11-07 Anirban Chakraborti

In a closed economic system, money is conserved. Thus, by analogy with energy, the equilibrium probability distribution of money must follow the exponential Gibbs law characterized by an effective temperature equal to the average amount of…

Statistical Mechanics · Physics 2009-02-25 Adrian Dragulescu , Victor M. Yakovenko

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…

Statistical Mechanics · Physics 2009-10-31 Anirban Chakraborti , Bikas K. Chakrabarti

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…

Physics and Society · Physics 2008-12-02 Yougui Wang , Ning Ding

The institution of money can be seen as a foundational social mechanism, enabling communities to quantify collectively regulate economic processes. Money can be said, indeed, to constitute the micro-macro link in economics. This paper…

Physics and Society · Physics 2025-06-30 Eduardo Coltre Ferraciolli , Tanya V. Araújo

We present an agent-based model of microscopic wealth exchange in a dynamic network to study the topological features associated with economic inequality. The model evolves through two alternating processes, the conservative exchange of…

Physics and Society · Physics 2024-08-30 Gustavo Kohlrausch , Sebastián Gonçalves

A simple computer simulation model of a closed market on a fixed network with free flow of goods and money is introduced. The model contains only two variables : the amount of goods and money beside the size of the system. An initially flat…

Adaptation and Self-Organizing Systems · Physics 2012-09-25 Marcel Ausloos , Andrzej Pekalski
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