The Pareto distribution as a disguised Gauss distribution

Abstract

A simple heuristic model, including the multiple exchanges between economic agents, is used to explain the mechanism of emerging and maintenance of social inequality in the market economy. The model allows calculating a density function of the population distribution over income. The function can be considered as a strongly deformed Gauss distribution function, whereas, at large incomes, it coincides with the Pareto distribution. The external, in relation to the model under consideration, force is necessary to maintain the strong non-equilibrium in a stationary state, and this force is the non-equivalence of elementary exchanges: the agent who already receives the higher income has the advantage: it provokes the rich to be getting more rich and the poor to be getting pauper.