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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…

General Finance · Quantitative Finance 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

We introduce an auto-regressive model which captures the growing nature of realistic markets. In our model agents do not trade with other agents, they interact indirectly only through a market. Change of their wealth depends, linearly on…

General Finance · Quantitative Finance 2009-07-28 Urna Basu , P. K. Mohanty

Studies of wealth inequality often assume that an observed wealth distribution reflects a system in equilibrium. This constraint is rarely tested empirically. We introduce a simple model that allows equilibrium but does not assume it. To…

Economics · Quantitative Finance 2016-05-19 Yonatan Berman , Ole Peters , Alexander Adamou

Reducing wealth inequality and disparity is a global challenge. The economic system is mainly divided into (1) gift and reciprocity, (2) power and redistribution, (3) market exchange, and (4) mutual aid without reciprocal obligations. The…

Theoretical Economics · Economics 2024-05-22 Takeshi Kato

We present analytical results for the Gini coefficient of economic inequality under the dynamics of a modified Yard-Sale Model of kinetic asset exchange. A variant of the Yard-Sale Model is introduced by modifying the underlying binary…

Statistical Mechanics · Physics 2024-11-05 David W. Cohen , Bruce M. Boghosian

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

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 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…

Statistical Mechanics · Physics 2025-03-20 Kristian Blom , Dmitrii E. Makarov , Aljaž Godec

We present a detailed numerical analysis of the modified version of a conservative self-organized extremal model introduced by Pianegonda et. al. for the distribution of wealth of the people in a society. Here the trading process has been…

General Finance · Quantitative Finance 2015-05-30 Abhijit Chakraborty , G. Mukherjee , S. S. Manna

To gain insights into the problem of regional inequality, we proposed new regional asset exchange models based on existing kinetic income-exchange models in economic physics. We did this by setting the spatial exchange range and adding bias…

Physics and Society · Physics 2020-07-27 Takeshi Kato , Yasuyuki Kudo , Hiroyuki Mizuno , Yoshinori Hiroi

We discuss a possibility of deriving an H-theorem for nonlinear discrete time evolution equation that describes random wealth exchanges. In such kinetic models economical agents exchange wealth in pairwise collisions just as particles in a…

Statistical Mechanics · Physics 2014-08-04 S. M. Apenko

This paper attempts to find a relationship between agents' risk aversion and inequality of incomes. Specifically, a model is proposed for the evolution in time of surplus/deficit distribution, and the long-time distributions are…

Economics · Quantitative Finance 2016-05-12 Eleonora Perversi , Eugenio Regazzini

A brief overview of the models and data analyses of income, wealth, consumption distributions by the physicists, are presented here. It has been found empirically that the distributions of income and wealth possess fairly robust features,…

General Finance · Quantitative Finance 2018-08-07 Kiran Sharma , Anirban Chakraborti

We develop a mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange. The multi-agent description leads to study the evolution over time of a…

Physics and Society · Physics 2020-08-12 G. Dimarco , L. Pareschi , G. Toscani , M. Zanella

A dynamic model of the social relations between workers and capitalists is introduced. The model is deduced from the assumption that the law of value is an organising principle of modern economies. The model self-organises into a dynamic…

Condensed Matter · Physics 2011-03-24 Ian Wright

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

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

We study the effect of altruism in two simple asset exchange models: the yard sale model (winner gets a random fraction of the poorer player's wealth) and the theft and fraud model (winner gets a random fraction of the loser's wealth). We…

Physics and Society · Physics 2009-11-11 M. Rodriguez-Achach , R. Huerta-Quintanilla

The dynamics of wealth distribution plays a critical role in the economic market, hence an understanding of its nonequilibrium statistical mechanics is of great importance to human society. For this aim, a simple and efficient…

Physics and Society · Physics 2020-10-28 Lijie Cui , Chuandong Lin

In this paper, we investigate the economic mobility in some money transfer models which have been applied into the research on wealth distribution. We demonstrate the mobility by recording the time series of agents' ranks and observing…

Physics and Society · Physics 2009-11-11 Ning Ding , Ning Xi , Yougui Wang
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