[Joey Joe Joe]

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Even better would be a graph where each player moves up (down) in stakes once he has "sufficient bankroll" for higher flips. There would be a night and day difference between the best and worst runs.

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Agreed. I've done some very basic sims along these lines years ago, and they really are illuminating. I think in the modern era with billions of hand histories out there, some very interesting sims could be done without resorting to the old coin toss.