Wealth inequality is mainly a statistical phenomena. If you start a perfectly fair society where everyone has exactly the same amount of money and you play a g

Wealth inequality is mainly a statistical phenomena. If you start a perfectly fair society where everyone has exactly the same amount of money and you play a game were people interact and with equal random chance (i.e. each exchange you get a 50/50 chance of earning 1 buck or losing one), after a few exchanges you get a Boltzmann-Gibbs (exponential) distribution. If each agent wealth chance of increasing depends on what they already have, you get a pareto distribution. It's extremely hard to avoid at large scale.