In a fixed limit betting structure with a standard blinds, the game really isn't too important. How would you go about figuring mathematically what range you should be playing? I'll give a relatively simple example to clarify what I'm trying to get at.

Folded to hero on the button, how much equity would we need with our opening range if we know that the SB will fold 80% of the time, 3 bet the other with the top 20% of his range. The 20% that the SB 3-bets the BB just calls with his top 10%, we always just call. When the SB folds the BB folds 20% of the time and calls the other 80% of the time.

Is it possible to mathematically declare that we should open raise with the top X% of our range under these circumstances with the help of equity software?

This is an enormous unsolved problem in poker, AFAIK. It's not at all trivial to calculate mathematically. You basically need to calculate the EV of every possible action you have. To do that, you need to determine your opponent's best (EV minimizing for you) response to each of your actions. To determine that, you need to know what your best (EV maximizing) response is to their response. Repeat until you reach a showdown, then back out the highest EV play.

Good luck with that.

-eric

It is much easier to do at NL IF you assume that all cards are known to all players, which they aren'tin reality. I've gone through and done it, though. When you put it into practice like I have however, it makes little difference in the long run relative to recommended hands at those positions and your post-flop play.

You could script out every possible play depending on flop, opponents holdings, your holdings, but the amount of time it would take to do that would be hours upon hours upon hours. Only recommended if you are a) a losing player with a lot of free time, or b) think that it would be a better investment than reading 2+2 instead, or c) you just really enjoy looking at excel and pokerstove all day.