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Proof of fundamental theorem of poker? Proof of fundamental theorem of poker?

09-11-2020 , 03:28 PM
Quote:
In heads up (no limit holdem?), every time you play a hand differently from the way you would have played it if you could see all your opponents' cards, they gain; and every time you play your hand the same way you would have played it if you could see all their cards, they lose.
Is it really a mathematical theorem, or is the word "theorem" used in an informal sense? I couldn't find any proof or even a formal statement of it. Is there any of those?
Proof of fundamental theorem of poker? Quote
09-12-2020 , 08:39 PM
It isn't even true and thus there is no proof. Obviously. Because the opponent may be someone you don't know who will play differently than you think. So the play you would would have made had you not seen his hand (eg reraising with pocket eights that you now fold because he has two nines and you don't know he is tight enough to incorrectly throw them away.) Where do you get this stuff?
Proof of fundamental theorem of poker? Quote
09-12-2020 , 11:31 PM
Yes Mr. Sklansky, where DO they get this stuff?

It's more of a self-evident principle than a rigorous scientific theorem. There's some older threads that discuss the game theory behind it.

https://forumserver.twoplustwo.com/1...-poker-216347/
Proof of fundamental theorem of poker? Quote
09-13-2020 , 01:47 PM
Quote:
Originally Posted by David Sklansky
It isn't even true and thus there is no proof. Obviously. Because the opponent may be someone you don't know who will play differently than you think. So the play you would would have made had you not seen his hand (eg reraising with pocket eights that you now fold because he has two nines and you don't know he is tight enough to incorrectly throw them away.) Where do you get this stuff?
What if we assume perfect play by our opponent? (without him having the knowledge that we know their hole cards).
Proof of fundamental theorem of poker? Quote
09-14-2020 , 10:36 PM
Quote:
Originally Posted by David Sklansky
It isn't even true and thus there is no proof. Obviously. Because the opponent may be someone you don't know who will play differently than you think. So the play you would would have made had you not seen his hand (eg reraising with pocket eights that you now fold because he has two nines and you don't know he is tight enough to incorrectly throw them away.) Where do you get this stuff?
So basically you must have been Mike Postle's mentor because he's the only one I see using your strategy.
Proof of fundamental theorem of poker? Quote

      
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