Ideal-Gas Like Markets: Effect of Savings

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.

14 pages, 6 eps figures, in 'Econophysics of Wealth Distributions', Springer-Verlag Italia, Ed. A. Chatterjee, S. Yarlagadda and B. K. Chakrabarti (2005) pp 79-92; Conf. Proc. Econophys-Kolkata I: International Workshop on Econophysics of Wealth Distributions, Kolkata, India, March 2005. Low resolution figures used

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