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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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.
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Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2000.
"Do the Rich Save More?,"
NBER Working Papers
7906, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)