The total goes up because not everyone loses wealth at each round. Wealth just gets more concentrated in the hands of the people who win the most. Also, "5% pe

The total goes up because not everyone loses wealth at each round. Wealth just gets more concentrated in the hands of the people who win the most. Also, "5% per round" assumes an infinite number of people. If you run this with 100 people, by the 3rd round, the expected group sizes are non-integers, so you will diverge from the "infinite people" case.