An Ideal gas-like model of Market and Income Distributions in  Societies

We all know the hard fact: Income or wealth in a society is never uniformly distributed. Justified or not, they are very much unevenly distributed: few are rich and many are poor! Researches over the last century, and in particular the avalable data in the internet from the finance Departments of the various countries (over the last 4/5 years),clearly suggests an universal pattern for the income/wealth distributions in various societies: Apart from the minor initial rise in number density with income for the "very poor" people, the number density essentially falls off exponentially (or in a log-normal way) for the majority of the "middle income" group, and eventually falls of slowly in a power law way  (Pareto law; 1896) for the "very rich" 5-10% of the population. A kinetic theory of gas model, modified for the saving propensity of the agents, has been developed to capture the observed income distribution pattern, as analogous to the "energy" distribution in that gas model. Several intriguing observations will be discussed.