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Old 10-26-2004, 06:27 PM
Aisthesis Aisthesis is offline
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Join Date: Nov 2003
Posts: 5
Default Re: Approximate general solution

Thanks for taking a look at this, Jerrod!

I'll see if I can find the link mentioned and post if I can locate it. Anyhow, when you get back and if you have the time and inclination sometime, I'd be most interested in exploring any (preferably simple to start with) multi-player games you might have just to get a feel for how it works. The collusion part of it sounds like an interesting dimension--although hopefully isn't the case in most practical HE contexts.

Might take another stab at this one with the lowball version in the meantime. Doesn't the simplicity really depend on whether you end up with more "1-x"s or just plain "x"s in the indifference equations? Anyhow, I'm definitely down for any strategy that makes the math easier (noticed you preferred the lowball version in your introductory webpages), as some of these simultaneous equations can get rather nasty pretty quickly.

Definitely in agreement regarding the mapping to HE. My general attitude toward the [0,1] game (applied to non-river issues) is generally just that it's a helpful tool, but always has to be taken with a grain of salt. The extreme case, along lines you mention, is 22 vs. AK, where 22 is likely to be way down there on most hand ranking systems. But if you can somehow exclude a bigger pair (big "if" there!) from the range of hands your opponent has and are down for a coinflip, even 22 can suddenly become pretty decent even if it's not a case where you're drawing to the set.

Actually, that's another topic that I think would be very much worth exploring sometime, as my "grain of salt" translation is obviously pretty vague. I will have to admit that I really like applying the [0,1] game more to pre-flop issues simply because the range of holdings is completely open prior to betting--hence at least allowing the assumption of completely even hand distributions. Once you get to the river, or even the flop, the distribution of possible hands makes for some major complications, as I see it.
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