I find that fascinating as well. A thorough probabilistic analysis could be fun, but I'm too tired for that right now.
One thing to keep in mind is that even supposedly uniform distributions can have outliers. For example, if you just throw N balls into N bins, there's going to be a bin with log N balls in it with high probability. Something similar is most likely going on here as well.
In a way, the really interesting question is whether the outcomes of that experiment are exponentially distributed. Then again, the simulation has basically nothing to do with real world wealth distribution anyway.
One thing to keep in mind is that even supposedly uniform distributions can have outliers. For example, if you just throw N balls into N bins, there's going to be a bin with log N balls in it with high probability. Something similar is most likely going on here as well.
In a way, the really interesting question is whether the outcomes of that experiment are exponentially distributed. Then again, the simulation has basically nothing to do with real world wealth distribution anyway.