iCountNTrack said:
Ahhh when i thought this thread was over, this is again not true, you WILL NOT win any amount of your choosing because if you encounter one win you will only be ahead by one unit.
QFIT, K_C, and Myself have shown using many different approaches will fail whether your bankroll is unlimited or limited , you are playing an unlimited number of hands.
Yeah I thought so too.
Leave it to ZG to stir it up again! :devil:
Since credit and bets are unlimited, the unit is arbitrary. So you get to win whatever you like. Or you can keep going until you're up again. It doesn't matter, mathematically.
[Again, we're well within the realm of mathematics and proofs only, not what might actually work or not in real-life. Table and credit limits kill this, and the numbers do get absurd.]
I've countered the previous posts already; primarily the issue is whether or not the calculation should be taken after an infinite number of hands or not. Sure, mathematically if there is an arbitrary (or no) stopping point, your expectation is a loss. That I agree with.
But the resulting BR curve in this case is unusual - in typical -EV situations the BR asymptotes to the -EV slope, but when the bets grow accordingly, as in this case, it oscillates to positive immediately after every win, and does not asymptote. (Nor does it asymptote positively.)
Therefore, a single win puts you in positive territory, and you're free to quit with a profit. This particular aspect is not addressed or included in any of the aforementioned limit analysis.
As pointed out previously, the only way this won't work is if you never win a hand. Whether that's possible or not after infinite hands is something we wasted a lot of time arguing about, but it doesn't really matter - thus the language "virtually certain".
But I think we'd all be hard-pressed to find any AP technique that guaranteed a win even if you happen to lose every hand forever.