Real life wealth distributions have a very interesting property not shown here. The "random give/take" always ends up with an exponential distribution, which models real life for about the bottom 99% and doesn't have any really high values or long tails. However the top 1% follows a power law in real life, which does spread wealth across several orders of magnitude and has long tails, and the transition is very sharp. Presumably this is because the top 1% made their wealth in a way that is scalable, such as though starting businesses, investing, etc. If you search papers in econophysics you can see this effect.
