Assume you are playing a NL Holdem tournament heads up. What is the best strategy against these all-in scenarios, and what is the expected win percentage when implementing the best strategy against these scenarios?
- Opponent goes all in every hand.
- Opponent plays Sklansky's System.
I'm guessing there is some software out there that has already calculated the answers?
Update: Bogdan mentions in his answer below that in the case of Sklansky's system, if the opponent moves all in on your raise, you should fold since you know he has AA, KK, or AKs. (I assume he meant fold unless you have AA.) He all but said the perfect strategy would then be to make a small raise every hand you are first to act, and therefore you will either win, or end up folding to AA, KK, or AKs. In light of this, I think we would have to revise the system a bit, or else you could simply make a small raise every hand you act first (yielding nearly 99%ish win rate of those hands), and just letting the opponent fold when he doesn't have a push hand when he's first to act, so you can blind out the opponent with this strategy. Since we're talking about heads up, I think it would be better to omit the part of the system that says what to do if the opponent raises. So for #2 above maybe we should just assume the system will use the same all-in hands regardless of first to act or not.
Note, what I'm actually after is the expected win percentage in this scenario. I'm expecting the answer to #1 to be something like: call the all in with the sklansky system hands and you'll win this tourney 5X% of the time. Or call with pocket pairs and you'll win 6X% of the time. Or call with Ax, 88+ and you'll win 7X% of the time, etc. I have no idea how to figure out how to calculate what those percentages are for this though, since you get blinded off every time you don't play a hand.