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Old 31st March 2008, 08:07 AM
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Fictive Fictive is offline
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Quote:
Originally Posted by frob23 View Post
While an interesting theory... it fails at this one point. With perfectly flat payouts (as in the case with the tickets), you have to fold A-A here even if your opponent turns over and shows you his 2-3 offsuit. I am going to shamelessly copy the method Harrington uses in his Volume II: The End Game in an attempt to explain why this is so.

At this point, 4 people get a token so the final percentages have to add up to 400%.

There are 27,000 chips in play this means each chip is worth roughly a 1.48% chance to get a ticket. At the start of the hand, the players have the following odds of getting a ticket.

BTN: 239%
SB: 79%
Hero (BB): 37%
UTG: 9%
CO: 36%

Now, if you call and lose you're a 0% chance to win. And you'll lose about 20% of the time by your own estimates. You'll have a 28% chance of getting a ticket if you fold. But if UTG loses the next hand or folds his BB, and you fold your SB, he will be about a 2% chance to win (from his SB where he is forced to play) and you'll still be a 24% favorite to get a ticket.

Now, what if you won with your AA? You'd increase to a 74% favorite to win a ticket. Certainly not a strong enough favorite to make this move. If it's failing 20% of the time. You're really only increasing your equity (after weighting the times you lose) by 22%. With a player that short... 9%,... to be 2% on the next hand... you're forced to fold here.

Harrington does a much better job of explaining this in detail. It's pages 421-426 and I highly recommend checking it out.
That is a very valid point. One that I definetely hadn't even thought about. Ah, possibly just one more reason why I do pretty good in cash games but suck at tournaments.
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