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Ideal-Gas Like Markets: Effect of Savings

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Author Info
Arnab Chatterjee
Bikas K Chakrabarti
Abstract

We discuss the ideal gas like models of a trading market. The effect of savings on the distribution have been thoroughly reviewed. The market with fixed saving factors leads to a Gamma-like distribution. In a market with quenched random saving factors for its agents we show that the steady state income ($m$) distribution $P(m)$ in the model has a power law tail with Pareto index $\nu$ equal to unity. We also discuss the detailed numerical results on this model. We analyze the distribution of mutual money difference and also develop a master equation for the time development of $P(m)$. Precise solutions are then obtained in some special cases.

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File URL: http://arxiv.org/abs/physics/0507136
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File URL: http://arxiv.org/pdf/physics/0507136
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Paper provided by arXiv.org in its series Quantitative Finance Papers with number physics/0507136.

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Date of creation: Jul 2005
Date of revision: Jul 2005
Handle: RePEc:arx:papers:physics/0507136

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  1. G. Willis & J. Mimkes, 2004. "Evidence for the Independence of Waged and Unwaged Income, Evidence for Boltzmann Distributions in Waged Income, and the Outlines of a Coherent Theory of Income Distribution," Quantitative Finance Papers cond-mat/0406694, arXiv.org. [Downloadable!]
  2. Sitabhra Sinha, 2005. "Evidence for Power-law tail of the Wealth Distribution in India," Quantitative Finance Papers cond-mat/0502166, arXiv.org. [Downloadable!]
  3. Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2004. "Do the Rich Save More?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 397-444, April. [Downloadable!] (restricted)
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  4. Geoff Willis & Juergen Mimkes, 2004. "Evidence for the Independence of Waged and Unwaged Income, Evidence for Boltzmann Distributions in Waged Income, and the Outlines of a Coherent Theory of Income Distribution," Microeconomics 0408001, EconWPA. [Downloadable!]
  5. Fabio Clementi & Mauro Gallegati, 2005. "Power Law Tails in the Italian Personal Income Distribution," Microeconomics 0505005, EconWPA. [Downloadable!]
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