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Advanced Sticky Whoring: How to calculate your target goal
note: authored by "izverg" on the BW forums
Definitions and assumptions: -------------------------------------------------- D=deposit (doesn't enter in this discussion) B=bonus X=your target (you aim for $X total or $0=bust) BR=your whole gambling bankroll Bets have no house advantage (good approximation for Playtech with BJ switch) X is the function of 1)size of the bonus B 2)your risk tolerance which should be determined by your bankroll X does not depend on D. Since there is no house advantage, for any X, you can extract more EV out of the bonus. Let's say you've reached a value of X, and you set your goal to reach X+dX or bust trying. Simple calculation shows that for this bet: EV=B/X * dX SD=(X-B)/sqrt(X) * sqrt(dX) EV decreases with X, and SD grows with X -- obvious results. Your bankroll limits the max Var/EV=SD^2/EV of the bets that you are making. When you get to X, you should continue if your bankroll can support bets of Var/EV = (X-B)^2/B Using arguments similar to the ones justifying 300BB bankroll requirement in poker, my personal criterion for bankroll is: (I am conservative when it comes to bankroll) BR = 4*Var/EV I think this is equivalent to requiring ~500BB bankroll for limit hold'em. Finally, target X of the sticky bonus B is determined by solving the following equation: BR = 4*(X-B)^2/B When I reach X, I reach the risk threshold that my bankroll allows. Time to cashout. X = B + sqrt(BR*B)/2 Some examples: ------------------------ Bonus=200 BR=5,000: X=700 BR=10,000: X=900 BR=20,000: X=1200 |
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