Polarized 3bet range - nuts or air.
Depolarized 3bet range - middle equity hands / hands we think we can value bet
Yes.
Now think about this:
AK in just about any situation vs a fish with TP postflop is a 3-street+ value hand.
AK for TPTK vs a nit, utg vs btn, in full ring, is maybe a 2-street value hand at best.
Value is relative
OOP we pretty much only want to have a polarized range because if we 3bet a buttons open, hes going to fold all the hands that are worse than KJo and either call or raise all the hands that are worse.
Says who?
Villain is 25/16 over only 24 hands. It helps when we know if part of that is limps as well, since
He folds JTs?
QJo?
67s?
What about the times he calls AJs, a better hand, but since we have the initiative we get him to fold the majority of flops?
You're on the right track with your thinking, but I think your assumptions of villain and players in general is incorrect.
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You have two main factors in deciding to polarize your 3betting range or not.
1) Villain's quality of play, ie is he
good or bad, ie does make good folds, or does he make too many calls, ie a 22/19 vs a 32/7. Simple.
2) Our relative
position to villain. In position, or out of position.
If villain is bad: never 3bet a hand like 57s. If he's calling with T8s/A5s/78o every time, you're coolering/value cutting yourself.
If villain is good, generally don't 3bet a hand like AJo. If he's 4bet
bluffing well, and doesn't call with worse very often, then we're putting ourselves in a lot of spots where we have to fold to a 4bet
bluff pf, or we're in tough postflop spots being unsure what to do with our pairs and draws. Don't fool yourself into thinking it's ok since a good chunk of the time regs will c/f the flop or fold to obvious double barrels. You can make them do that with 57s too.
In short, it comes down to this:
IN POSITION:
-Vs a fish, 3bet a
depolarized range.
-Vs a regular, 3bet a
polarized range.
OUT OF POSITION:
-Vs a fish, 3bet a
depolarized range.
-Vs a regular, it depends on the individual, but tend to
depolarize your range
Being out of position, a lot of regs will start to call with stuff like T8s and A5s that they shouldn't be (and tend not to 4bet bluff as much since they have position), and in this effect they play more like a 'bad' player, so tend to depolarize your range against them again. Again, if they're calling with T8s, 3betting AJs isn't going to put you in as many trouble spots. But again that depends on the villain. Some are positionally unaware, some tend to like to call 3bets IP and OOP, and some are the opposite. Play accordingly.
The only thing that remains the same is that bad players play bad everywhere and in any relative position, and as such we should just stick to value betting them all the time, even if the value is sometimes thin. 3bet a depolarized range everywhere.