Hi,
Quote:
Originally Posted by Dejv
For example with 10bb if we are thinking only between push and fold and NASH say push, than push is always better than folding?
Short answer is no. You're saying "NASH", but I assume you're referring to this:
http://www.holdemresources.net/h/poker-theory/hune.html. That's a nash equilibrium, but it's not for poker. It's for poker if the SB was only allowed to push or fold. This is an important distinction. Imagine someone came up with a chart that showed nash equilibrium play for poker where the SB was only allowed to fold. Would you say that AA is a "nash fold" at 20bb? What I think a lot of people don't realize is that if you play the nash push or fold equilibrium from the SB, at any stack depth above about 7bb you're losing money (assuming your opponent is calling approximately nash), and the amount you're losing increases the deeper you get. It's only "unexploitable" in the same way that folding 100% of hands from the SB is unexploitable - it's an unexploitable strategy in a simplified version of poker that handicaps the SB significantly.
So, if a hand is a "nash shove" at, say, 10bb, does this mean that pushing it is always better than folding? No, there's a different chart for that, the
http://www.poker-red.com/sites/default/files/images/noticias/sklansky-chubukov-table.png. But, that chart isn't very useful; the only useful fact to take away from that (imo) is that K2o can always do better shoving than folding at or below 10bb.
If a hand is a nash shove at 10bb, what that means is that if you shove every other hand in the nash shoving range at 10bb and your opponent calls perfectly against your range, then shoving the hand is better than folding. Hower, if, for example, you only shove the bottom half of the nash range for 10bb, and do something else with the top half (e.g. minraise it) and your opponent calls perfectly, then they will end up calling a lot wider since they don't have to worry about you having AA or KQ or w/e. This makes a lot of the hands that are nash shoves, worse to shove than fold.
If your opponent has a really wide calling range, then you don't want to shove any of the hands that are "nash shoves" based on their suited/connectedness, e.g. 87o, T6s, etc., because those hands rely on getting folds. Hands like K2o and 44 are still OK to shove (at 10bb), and hands like AKo and KQo might be a good idea to shove.
And yeah, in real poker at 10bb you have to keep in mind the options to minraise, limp, push, and fold, and decide on the best one.