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Old 02-02-2006, 08:36 AM
7stud 7stud is offline
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Join Date: Jul 2003
Posts: 379
Default Re: TOP: Fundamental Theorem discussion.

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The Fundamental Theorem is indeed fundamental, it is not simple. It is not the introductory theorem. It's incredibly complex and far reaching.

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Hmm...well maybe I don't understand it fully then, but to me it seems true by definition. It says(or "should" say) that there is an optimal way for your opponent to play his hand if he could see your cards. If he doesn't play that optimal way, then he loses AND you gain.

That doesn't appear to be earth shattering news, and it makes intuitive sense: opponent bungles his hand, he loses, you win. Imo, the only reason the ftop is at all interesting is because of what Morton showed. He showed that in multiway pots, there are times when an opponent can play sub-optimally, i.e. he chooses an action that has -EV, yet you don't gain from his mistake. In fact, not only do you not gain from his mistake, you are hurt by his mistake i.e. your EV decreases. What happens is that a 3rd opponent is acquiring EV from the both of you when your opponent makes a mistake.
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