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In this work we consider an agent based model in order to study the wealth distribution problem where the interchange is determined with a symmetric zero sum game. Simultaneously, the agents update their way of play trying to learn the…

Physics and Society · Physics 2017-09-12 Juan Pablo Pinasco , Mauro Rodriguez Cartabia , Nicolas Saintier

Pareto distributions, and power laws in general, have demonstrated to be very useful models to describe very different phenomena, from physics to finance. In recent years, the econophysical literature has proposed a large amount of papers…

Methodology · Statistics 2015-06-16 Pasquale Cirillo

We propose a stochastic map model of economic dynamics. In the last decade, an array of observations in economics has been investigated in the econophysics literature, a major example being the universal features of inequality in terms of…

General Finance · Quantitative Finance 2015-05-27 Anindya S. Chakrabarti

We propose a dynamical toy model of agents which possess a quantity and have an interaction radius depending on the amount of the quantity. They exchange the quantity with agents existing within their interaction radii. It is shown in the…

Physics and Society · Physics 2024-08-06 Tohru Tashiro , Megumi Koshiishi , Tetsuo Deguchi

We introduce a minimal agent-based model to qualitatively conceptualize the allocation of limited wealth among more abundant opportunities. We study the interplay of power, satisfaction and frustration in distribution, concentration, and…

Physics and Society · Physics 2015-10-05 Benoit Mahault , Avadh Saxena , Cristiano Nisoli

Social and economic inequality is a plague of the XXI Century. It is continuously widening, as the wealth of a relatively small group increases and, therefore, the rest of the world shares a shrinking fraction of resources. This situation…

General Finance · Quantitative Finance 2021-02-03 José Roberto Iglesias , Ben-Hur Francisco Cardoso , Sebastián Gonçalves

Multi-agent models have been used in many contexts to study generic collective behavior. Similarly, complex networks have become very popular because of the diversity of growth rules giving rise to scale-free behavior. Here we study…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Z. Burda , A. Krzywicki , O. C. Martin

This paper studies the trading volumes and wealth distribution of a novel agent-based model of an artificial financial market. In this model, heterogeneous agents, behaving according to the Von Neumann and Morgenstern utility theory, may…

General Finance · Quantitative Finance 2015-09-09 Pietro DeLellis , Franco Garofalo , Francesco Lo Iudice , Elena Napoletano

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

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 introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either (i) with probability $p$ an incoming agent…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. J. Rodgers , Dafang Zheng

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

Several problems arising in Economics and Finance are analyzed using concepts and quantitative methods from Physics. Here is the abridged abstact: Chapter 1: By analogy with energy, the equilibrium probability distribution of money must…

Statistical Mechanics · Physics 2008-12-10 Adrian A. Dragulescu

We formulate a flexible micro-to-macro kinetic model which is able to explain the emergence of income profiles out of a whole of individual economic interactions. The model is expressed by a system of several nonlinear differential…

Economics · Quantitative Finance 2016-11-28 Maria Letizia Bertotti , Giovanni Modanese

We conduct a market experiment with human agents in order to explore the structure of transaction networks and to study the dynamics of wealth accumulation. The experiment is carried out on our platform for 97 days with 2,095 effective…

Physics and Society · Physics 2010-01-22 Jie-Jun Tseng , Sai-Ping Li , Sun-Chong Wang

'Rich get richer' rule comforts previously often chosen actions. What is happening to the evolution of individual inclinations to choose an action when agents do interact ? Interaction tends to homogenize while each individual dynamics…

Probability · Mathematics 2020-08-05 Irene Crimaldi , Pierre-Yves Louis , Ida Germana Minelli

In this study, we investigate the statistical properties of the returns and the trading volume. We show a typical example of power-law distributions of the return and of the trading volume. Next, we propose an interacting agent model of…

Statistical Finance · Quantitative Finance 2013-09-11 Taisei Kaizoji

We develop a formalism to study linearized perturbations around the equilibria of a pure exchange economy. With the use of mean field theory techniques, we derive equations for the flow of products in an economy driven by heterogeneous…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 Samuel E. Vazquez , Simone Severini

We discuss a Pareto macro-economy (a) in a closed system with fixed total wealth and (b) in an open system with average mean wealth and compare our results to a similar analysis in a super-open system (c) with unbounded wealth. Wealth…

Statistical Mechanics · Physics 2009-11-07 Z. Burda , D. Johnston , J. Jurkiewicz , M. Kaminski , M. A. Nowak , G. Papp , I. Zahed

This study is a detailed analysis of Speculation Game, a minimal agent-based model of financial markets, in which the round-trip trading and the dynamic wealth evolution with variable trading volumes are implemented. Instead of herding…

Statistical Finance · Quantitative Finance 2019-09-10 Kei Katahira , Yu Chen