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Old 06-23-2004, 01:54 PM
Aisthesis Aisthesis is offline
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Join Date: Nov 2003
Posts: 5
Default Re: Applying [0,1] games

Some general considerations on where I'm trying to go with this:

First, the current games seem to me to allow some conclusions only with regard to the first few actions in a heads-up match. We haven't yet explored what happens when re-raises are allowed but just hand selection and raising quantities for the first raise on the part of each player.

Second, I'm assuming that the way to begin a heads-up match against an unknown opponent is to play the optimal strategy until reads allow you to define the opponent's suboptimal strategy. Then you can switch to optimal exploitation of that particular strategy. (just as a note, I actually did try this yesterday in a heads-up match on Stars and won it in 10 hands! Admittedly, the cards also fell nicely on the decisive hand, which was a pre-flop all-in with my 99 against my opponent's AQs which failed to improve, and one match obviously isn't anything on which to base any solid conclusions... but still, I was already ahead before the decisive hand, although not enough for adequate recovery had I lost that one)

However, third, when switching away from the optimal strategy to exploit an opponent's suboptimal play, I think you need to be a bit careful about covering your tracks.

For example, in 6a), where the conclusion was that the SB starts raising all of his bad hands against an overly tight opponent and limping on all others with the intention of trapping on his very best ones, A is eventually going to catch on to this. For the moment, I'm thinking the best way to deal with that is simply to switch back to "optimal play," probably also eliminating the bluffs at first, since A is going to be calling raises too often until he realizes that you've switched strategies again.

But with a fairly small repertoire of strategies based on these [0,1] games, I think it's going to be effectively impossible for an opponent unfamiliar with these strategies to adjust adequately in the course of a game. In my opinion, even the simple optimal strategies of games 6 and 7 (with the exact figures for raising, bluffing, and limping hands) goes well beyond the thinking of most players. And an optimal strategy is going to be the only way to gain immunity from strategy changes.
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