Re: Game Theory Resolution
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But as I mentioned originally, at that point, this game becomes more about third-level thinking than it is about the numbers. If you can get the BB to play sub-optimally, then you can exploit his adjustments. But playing 0-.1875 instead of .4375-.625 should not cause him to adjust, unless believes you're playing more than 43% of the time. The problem here is that you have to believe he's capable of adjusting to your play, and willing to, because if he simply calls .625 no matter what you do, he will end up ahead in the long run, since the SB has a very clear disadvantage in this game.
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You wouldn't play this game unless you expected to be in the BB as often as you would be in the SB.
So if both of you are playing optimal (and there isn't a rake) the long run wouldn't be so bad.
EV_SB/2 + EV_BB/2 = 0
If in the SB you bet with 7/16 -> 1, and the BB plays non-optimal, you will do better than if you bet with 0 -> 3/16, 5/8 -> 1 against the same player.
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