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The addition of wealth-attained advantage (WAA) to the Yard-Sale Model (YSM) of asset exchange has been demonstrated to induce wealth condensation. In a model of WAA for which the bias is a continuous function of the wealth difference of…

General Finance · Quantitative Finance 2016-08-23 Bruce M. Boghosian , Adrian Devitt-Lee , Hongyan Wang

We present a simple model of a stock market where a random communication structure between agents gives rise to a heavy tails in the distribution of stock price variations in the form of an exponentially truncated power-law, similar to…

Statistical Mechanics · Physics 2014-01-14 Rama Cont , Jean-Philippe Bouchaud

Using public data (Forbes Global 2000) we show that the asset sizes for the largest global firms follow a Pareto distribution in an intermediate range, that is ``interrupted'' by a sharp cut-off in its upper tail, where it is totally…

General Finance · Quantitative Finance 2015-06-17 Davide Fiaschi , Imre Kondor , Matteo Marsili , Valerio Volpati

We consider an ideal closed stock market, in which 100 traders have economic activities. The assets of the traders change through buying and selling stocks. We simulate the assets under conservation of both total currency and total number…

Statistical Mechanics · Physics 2008-12-10 Yoshikazu Ohtaki , Hiroshi H. Hasegawa

We study the finite-size effects in some scaling systems, and show that the finite number of agents N leads to a cut-off in the upper value of the Pareto law for the relative individual wealth. The exponent $\alpha$ of the Pareto law…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Sorin Solomon

Some general features of kinetic multi-agent models are reviewed, with particular attention to the relation between the agent saving propensities and the form of the equilibrium wealth distribution. The effect of a finite cutoff of the…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Guido Germano

We consider the ideal-gas models of trading markets, where each agent is identified with a gas molecule and each trading as an elastic or money-conserving (two-body) collision. Unlike in the ideal gas, we introduce saving propensity…

Statistical Mechanics · Physics 2009-11-10 Arnab Chatterjee , Bikas K. Chakrabarti , S. S. Manna

A money-based model for the power law distribution (PLD) of wealth in an economically interacting population is introduced. The basic feature of our model is concentrating on the capital movements and avoiding the complexity of micro…

Other Condensed Matter · Physics 2009-11-10 Yan-Bo Xie , Bo Hu , Tao Zhou , Bing-Hong Wang

Persistent wealth inequality, where a small fraction of the population accumulates most resources while the majority remains economically vulnerable, is a widespread phenomenon. We investigate its underlying mechanisms using an agent-based…

Physics and Society · Physics 2026-02-16 Gastón Villafañe , Lautaro Giordano , María Fabiana Laguna

This study investigates the emergence of power-law and other concentrated distributions through a feedback loop model in crowd interactions. Agents act by their response functions to observations and external forces, while observations…

General Economics · Economics 2024-12-18 Jake J. Xia

A mechanism is proposed for the appearance of power law distributions in various complex systems. It is shown that in a conservative mechanical system composed of subsystems with different numbers of degrees of freedom a robust power-law…

Statistical Mechanics · Physics 2018-01-03 Anirban Chakraborti , Marco Patriarca

In Chakraborti's yard-sale model of an economy, identical agents engage in pairwise trades, resulting in wealth exchanges that conserve each agent's expected wealth. Doob's martingale convergence theorem immediately implies almost sure…

Mathematical Finance · Quantitative Finance 2024-06-18 Christoph Börgers , Claude Greengard

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…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 G. M. Caon , S. Goncalves , J. R. Iglesias

We investigate the accumulated wealth distribution by adopting evolutionary games taking place on scale-free networks. The system self-organizes to a critical Pareto distribution (1897) of wealth $P(m)\sim m^{-(v+1)}$ with $1.6 < v <2.0$…

Physics and Society · Physics 2009-11-11 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Bing-Hong Wang , Yong-Hong Wu

We investigate the wealth evolution in a system of agents that exchange wealth through a disordered network in presence of an additive stochastic Gaussian noise. We show that the resulting wealth distribution is shaped by the degree…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , S. T. Hyde

The Kinetic Gas Theory like two-agent money exchange models, recently introduced in the Econophysics of Wealth distributions, are revisited. The emergence of Boltzmann-Gibbs like distribution of individual money to Pareto's law in the tail…

Physics and Society · Physics 2009-11-11 Abhijit Kar Gupta

The conservative wealth-exchange process derived from trade interactions is modeled as a multiplicative stochastic transference of value, where each interaction multiplies the wealth of the poorest of the two intervening agents by a random…

General Finance · Quantitative Finance 2015-05-30 Cristian F. Moukarzel

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

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics offers models of markets as complex systems, that try to comprehend macro-, system-wide states of the economy from the…

Trading and Market Microstructure · Quantitative Finance 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law, also known variously as Zipf's law or the Pareto distribution. Power laws appear…

Statistical Mechanics · Physics 2019-09-23 M. E. J. Newman