Exponential Wealth Distribution In A Random Market. A Rigorous Explanation
In simulations of some economic gas-like models, the asymptotic regime shows an exponential wealth distribution, independently of the initial wealth distribution given to the system. The appearance of this statistical equilibrium for this type of gas-like models is explained in a rigorous analytical way. Exponential (Gibbs) distribution is ubiquitous in many natural phenomena. It is found in many equilibrium situations ranging from physics to economy. In an economic context, the society of the Western (capitalist) economies can be divided into two distinct groups according to the incomes of people.