Interesting phenomenon! To me it makes intuitive sense when viewed as a uniform distribution of money between 0 and ~$100. Bottom graph approaching linear. In

Interesting phenomenon! To me it makes intuitive sense when viewed as a uniform distribution of money between 0 and ~$100. Bottom graph approaching linear. In that light these kinds of posts can be a bit disappointing: "here, have a simulation to prove the phenomenon". Yes but how does this work in general? As others have noted, is it stable over time? Which factors play a role in the speed of convergence? What if one introduces tax per transaction, giving the returns to the poorest? What would be a fair percentage?