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Related papers: A Chaotic Approach to Market Dynamics

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We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Marc Mezard

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

Mounting evidences are being gathered suggesting that income and wealth distribution in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas in equilibrium, but also deviating…

Physics and Society · Physics 2008-12-02 Arnab Chatterjee , Sitabhra Sinha , Bikas K. Chakrabarti

We analyze an ideal gas like models of a trading market. We propose a new fit for the money distribution in the fixed or uniform saving market. For the marketwith quenched random saving factors for its agents we show that the steady state…

Physics and Society · Physics 2008-12-10 Arnab Chatterjee , Bikas K. Chakrabarti , Robin B. Stinchcombe

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

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

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 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

Chaos and nonlinear economic dynamics are addressed for a quantum coupled map lattice model of an artificial economy, with quantized supply and demand equilibrium conditions. The measure theoretic properties and the patterns that emerge in…

Chaotic Dynamics · Physics 2012-03-01 Carlos Pedro Gonçalves

This article is a supplement to my main contribution to the Routledge Handbook of Complexity Economics (2023). On the basis of three recent papers, it presents an unconventional perspective on economic inequality from a statistical physics…

General Economics · Economics 2023-07-06 Victor M. Yakovenko

Increasingly, a huge amount of statistics have been gathered which clearly indicates that income and wealth distributions in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas…

General Finance · Quantitative Finance 2009-11-13 Arnab Chatterjee , Bikas K. Chakrabarti

We analyze the ideal gas like models of markets and review the different cases where a `savings' factor changes the nature and shape of the distribution of wealth. These models can produce similar distribution of wealth as observed across…

Physics and Society · Physics 2009-11-13 Arnab Chatterjee , Bikas K Chakrabarti

Using the analogy with inelastic granular gasses we introduce a model for wealth exchange in society. The dynamics is governed by a kinetic equation, which allows for self-similar solutions. The scaling function has a power-law tail, the…

Statistical Mechanics · Physics 2008-12-02 Frantisek Slanina

We have numerically simulated 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…

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

This paper analyzes the equilibrium distribution of wealth in an economy where firms' productivities are subject to idiosyncratic shocks, returns on factors are determined in competitive markets, dynasties have linear consumption functions…

General Finance · Quantitative Finance 2009-06-11 Davide Fiaschi , Matteo Marsili

A deterministic system of coupled maps is proposed as a model for economic activity among interacting agents. The values of the maps represent the wealth of the agents. The dynamics of the system is controlled by two parameters. One…

Chaotic Dynamics · Physics 2008-12-02 J. R. Sanchez , J. Gonzalez-Estevez , R. Lopez-Ruiz , M. G. Cosenza

This study considers a model of the income distribution of agents whose pairwise interaction is asymmetric and price-invariant. Asymmetric transactions are typical for chain-trading groups who arrange their business such that commodities…

Probability · Mathematics 2009-11-11 Alexander M. Chebotarev

We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or…

General Finance · Quantitative Finance 2015-05-07 Els Heinsalu , Marco Patriarca

We show that there is a common mode of origin for the power laws observed in two different models: (i) the Pareto law for the distribution of money among the agents with random saving propensities in an ideal gas-like market model and (ii)…

Physics and Society · Physics 2009-11-11 Pratip Bhattacharyya , Arnab Chatterjee , Bikas K Chakrabarti

In this paper we present an econophysic model for the description of shares transactions in a capital market. For introducing the fundamentals of this model we used an analogy between the electrical field produced by a system of charges and…

General Finance · Quantitative Finance 2011-01-26 Ion Spanulescu , Ion Popescu , Victor Stoica , Anca Gheorghiu , Victor Velter