Before revision:  We propose a novel game theoretic framework that addresses this question and shows that the lognormal distribution is the fairest inequality of pay in URLanization  , achieved at equilibrium, under ideal free market conditions  .
After revision:  We propose a novel game theoretic framework that addresses this question and shows that the lognormal distribution is the fairest inequality of pay in URLanization , achieved at equilibrium, under ideal free market conditions . We also show that for a population of two different classes of agents, the final distribution is a combination of two different lognormal distributions where one of them, corresponding to the top 3-5\% of the population, can be misidentified as a Pareto distribution .