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In this manuscript, we develop and analyze a continuous version of the well-known Bennati-Dragulescu-Yakovenko (BDY) dollar-exchange discrete model. Starting from the conservative BDY exchange mechanism, we rely on kinetic theory for…

偏微分方程分析 · 数学 2025-12-09 Fei Cao , Nadia Loy

We investigate a variant of the standard Bennati-Dragulescu-Yakovenko (BDY) game \cite{dragulescu_statistical_2000} inspired by the very recent work \cite{blom_hallmarks_2024}, where agents involving in a money exchange dynamics are…

概率论 · 数学 2025-05-13 Fei Cao

A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth distributions are determined for a variety of exchange…

统计力学 · 物理学 2009-10-30 S. Ispolatov , P. L. Krapivsky , S. Redner

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…

概率论 · 数学 2022-08-24 Fei Cao , Sébastien Motsch

We investigate the transient and steady-state dynamics of the Bennati-Dragulescu-Yakovenko money game in the presence of probabilistic cheaters, who can misrepresent their financial status by claiming to have no money. We derive the…

统计力学 · 物理学 2025-03-20 Kristian Blom , Dmitrii E. Makarov , Aljaž Godec

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…

物理与社会 · 物理学 2026-02-16 Lautaro Giordano , Ignacio Cortés , Sebastian Gonçalves , María Fabiana Laguna

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…

概率论 · 数学 2023-11-15 Fei Cao , Stephanie Reed

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…

综合经济学 · 经济学 2021-11-08 Takeshi Kato , Yoshinori Hiroi

We study the effect of the social stratification on the wealth distribution on a system of interacting economic agents that are constrained to interact only within their own economic class. The economical mobility of the agents is related…

物理与社会 · 物理学 2009-11-11 M. F. Laguna , S. Risau Gusman , J. R. Iglesias

This paper investigates the emergence of wealth inequality through a minimalist kinetic exchange model that incorporates two fundamental economic features: fixed-amount transactions and hard budget constraints. In contrast to the maximum…

物理与社会 · 物理学 2025-11-12 Jihyuan Liuh

Empirical distributions of wealth and income can be reproduced using simplified agent-based models of economic interactions, analogous to microscopic collisions of gas particles. Building upon these models of freely interacting agents, we…

物理与社会 · 物理学 2020-03-10 Lennart Fernandes , Jacques Tempere

Many models of market dynamics make use of the idea of conservative wealth exchanges among economic agents. A few years ago an exchange model using extremal dynamics was developed and a very interesting result was obtained: a self-generated…

物理与社会 · 物理学 2015-06-12 L. A. Braunstein , P. A. Macri , J. R. Iglesias

Binary kinetic exchange models, where money is shuffled between two agents at a time, reproduce the Boltzmann Gibbs exponential wealth distribution but cannot address the multi party trades common in real markets. We generalize the exchange…

物理与社会 · 物理学 2026-05-28 Suchismita Banerjee

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…

物理与社会 · 物理学 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

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…

适应与自组织系统 · 物理学 2009-11-11 G. M. Caon , S. Goncalves , J. R. Iglesias

We review the basic kinetic wealth-exchange models of Angle [J. Angle, Social Forces 65 (1986) 293; J. Math. Sociol. 26 (2002) 217], Bennati [E. Bennati, Rivista Internazionale di Scienze Economiche e Commerciali 35 (1988) 735], Chakraborti…

物理与社会 · 物理学 2009-11-16 Marco Patriarca , Els Heinsalu , Anirban Chakraborti

Simple stochastic exchange games are based on random allocation of finite resources. These games are Markov chains that can be studied either analytically or by Monte Carlo simulations. In particular, the equilibrium distribution can be…

物理与社会 · 物理学 2009-11-13 Enrico Scalas , Ubaldo Garibaldi , Stefania Donadio

An important class of economic models involve agents whose wealth changes due to transactions with other agents. Several authors have pointed out an analogy with kinetic theory, which describes molecules whose momentum and energy changes…

物理与社会 · 物理学 2014-07-22 Bruce M. Boghosian

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

We investigate the problem of wealth distribution from the viewpoint of asset exchange. Robust nature of Pareto's law across economies, ideologies and nations suggests that this could be an outcome of trading strategies. However, the simple…

交易与市场微观结构 · 定量金融 2009-11-13 M. Ali Saif , Prashant M. Gade
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