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Asset exchange models (AEMs) provide a physics-inspired framework for studying wealth formation. These models capture wealth distribution dynamics via pairwise money exchanges, yielding steady-state distributions from exponential to…

Physics and Society · Physics 2025-09-30 Joel Wagner , Siew Ann Cheong , Viola Priesemann

This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of k-generalized statistics, is derived that is particularly suitable…

Physics and Society · Physics 2009-02-23 F. Clementi , M. Gallegati , G. Kaniadakis

We find the wealth distribution for an economic agent in the financial market, in analogy with standard derivation of generaliz Boltzman (Tsallis) factor in statistical mechanics. In this respect, Tsallis entropic index separates two…

Other Condensed Matter · Physics 2008-12-10 Amir Hossein Darooneh

It is known that asset exchange models with symmetric interaction between agents show either a Gibbs/log-normal distribution of assets among the agents or condensation of the entire wealth in the hands of a single agent, depending upon the…

Physics and Society · Physics 2008-12-02 Sitabhra Sinha

The purpose of this research article is to discover how the econophysics analysis can complement the econometrics models in application to the risk management in the central banks and financial institutions, operating within the nonlinear…

General Finance · Quantitative Finance 2012-11-20 Dimitri O. Ledenyov , Viktor O. Ledenyov

Income inequality and redistribution policies are modeled with a minimal, endogenous model of a simple foraging economy. Significant income inequalities emerge from the model for populations of equally capable individuals presented with…

Physics and Society · Physics 2024-11-21 John C. Stevenson

This paper consider a highly general dissemination model that keeps track of the stochastic evolution of the distribution of wealth over a set of agents. There are two types of events: (i) units of wealth externally arrive, and (ii) units…

Probability · Mathematics 2022-07-12 K. M. D. Chan , M. R. H. Mandjes

This is a review about financial dependencies which merges efforts in econophysics and financial economics during the last few years. We focus on the most relevant contributions to the analysis of asset markets' dependencies, especially…

Statistical Finance · Quantitative Finance 2023-02-17 M. Raddant , T. Di Matteo

Kinetic exchange models have been successful in explaining the shape of the income/wealth distribution in the economies. However, such models usually make some ad-hoc assumptions when it comes to determining the savings factor. Here, we…

Trading and Market Microstructure · Quantitative Finance 2010-06-28 Anindya S. Chakrabarti

Econophysics is an approach to quantitative economy using ideas, models, conceptual and computational methods of statistical physics. In recent years many of physical theories like theory of turbulence, scaling, random matrix theory or…

Condensed Matter · Physics 2007-05-23 Z. Burda , J. Jurkiewicz , M. A. Nowak

The statistical description and modeling of volatility plays a prominent role in econometrics, risk management and finance. GARCH and stochastic volatility models have been extensively studied and are routinely fitted to market data, albeit…

Computational Engineering, Finance, and Science · Computer Science 2018-03-13 Nils Bertschinger , Iurii Mozzhorin , Sitabhra Sinha

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

The methods of statistical physics of open systems are used for describing the time dependence of economic characteristics (income, profit, cost, supply, currency etc.) and their correlations with each other. Nonlinear equations (analogies…

General Physics · Physics 2007-05-23 L. Ya. Kobelev , O. L. Kobeleva , Ya. L. Kobelev

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 agent-based model of the economy is generalized to incorporate investment and guaranteed income mechanisms in addition to the exchange and distribution mechanisms considered in earlier models. We find realistic wealth distributions and…

Statistical Mechanics · Physics 2026-01-23 Jan Tobochnik , Harvey Gould , William Klein

The LLS stock market model is a model of heterogeneous quasi-rational investors operating in a complex environment about which they have incomplete information. We review the main features of this model and several of its extensions. We…

Statistical Mechanics · Physics 2008-12-02 Sorin Solomon , Moshe Levy

Within the description of stochastic differential equations it is argued that the existence of Boltzmann-Gibbs type distribution in economy is independent of the time reversal symmetry in econodynamics. Both power law and exponential…

Physics and Society · Physics 2008-12-02 P. Ao

Many-body dynamical models in which Boltzmann statistics can be derived directly from the underlying dynamical laws without invoking the fundamental postulates of statistical mechanics are scarce. Interestingly, one such model is found in…

Statistical Mechanics · Physics 2023-11-06 Maggie Miao , Kristian Blom , Dmitrii E. Makarov

In a recent paper in this journal [J. Stat. Mech. (2009) P02037] we proposed a new, physically motivated, distribution function for modeling individual incomes having its roots in the framework of the k-generalized statistical mechanics.…

General Finance · Quantitative Finance 2012-12-07 F. Clementi , M. Gallegati , G. Kaniadakis

We study a stochastic multiplicative system composed of finite asynchronous elements to describe the wealth evolution in financial markets. We find that the wealth fluctuations or returns of this system can be described by a walk with…

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