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by papln 2329 days ago
with drawdown on simple bets, the average compounding step per play, for a given edge and bet size, is

    ((1+bet)^(0.5+edge))*((1-bet)^(0.5-edge)))
  = ((1-bet^2)^0.5 * ((1+bet)/(1-bet))^edge

For a given bet size, there's room to make your edge large enough (without exceeding 0.5) to make the (>1) right-side factor overwhelm the (<1) left side.

https://www.wolframalpha.com/input/?i=log%28%281-b%5E2%29%5E...