I don't think this contradicts the point I was making though. If inflation was set at 50%, the total amount to redistribute would be (100+1+1 * 0.5) 51 units and each person would get and additional (51 * 1/3) 17 units. So the amounts after the first inflation cycle would be 18, 18, 117. The richest person, who was 100 times richer than the poorest before inflation, is now only 6.5 times richer. Do this a couple of times and the relative difference between the amounts become smaller and smaller.