2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209026We 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 $ν$ 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 usedPhysics and SocietyStatistical MechanicsGeneral Financetext