Ok, I still don't understand a lot of this. To make things easier let's assume there are no cards to come. Polarization makes sense to me in the following situation:
- We're in position
- It is checked to us
- Our possible bet won't put us all-in
In other situations it's not so clear to me.
I like to visualise my ranges graphically - strong hands on the left, weak hands on the right. So in the above situation, if for a moment we don't bluff, our range looks like
valuebet | check behind
(so we valuebet our strongest hands, and check the rest behind)
If we decide we need to bluff a certain percentage of the time we pick hands at the lower end of the checking range since we don't lose any value if we have to fold to a check-raise.
valuebet | check behind | bluff
Now let's look at a different scenario. Again we're in position on the river, this time facing a bet. The pot size is such that we have only three options: folding, calling, or shoving. Once more, if we only consider value bets our range looks like
valueshove | call | fold
Now if we want to shove as a bluff we choose hands that we would usually fold. We don't pick calling hands (need to work out why), so the bluffs come from our folding range. Since we expect to lose when called it doesn't really matter which hands we pick. However, our chances of beating a bluff catcher are of course higher the better our hands are. Thus we bluff with the top of our folding range.
valueshove | call | bluff | fold
Not sure if this makes any sense and how this ties into polarization. Also this is all probably quite trivial. However, any comments or clarifications are welcome.