My point there is independent of whether we should pot here. I just think people make a mistake of the thought process and therefore will apply this wrongly and pot in spots where a different sizing plan is better.
There are also a lot of situations where we want to mostly pot but have a small section of our range that goes 33% (often low equity hands with very good blockers, or super nutted hands with nut redraws).
I believe that solvers prefer a one sized approach and goes with something like 75% on these boards OOP the deeper it gets. This is less the case IP, but can still generally be applied. We generally like to use smaller sizings IP.
Okay moving on from that strategy construction point, and onto the actual hand.
This board is rainbow. Like, idk what to say, this is NOT a super wet board, where everyone definitely has a strong piece.
The equity graph in this spot is going to be non linear. That is to say: 3b/call ranges should have a ton of A567ds T976ds A776ds AK67ds type hands, all of which would fold to the smallest of bets, but then a section of very strong hands. When you have a board where a significant portion of your opponent's range just straight up folds to almost any bet, it makes a lot of sense for us to have a smaller bet size, especially when we also have a lot of those same hands that don't really want to pot. In general our range doesn't really want to think our opponent's range to.
We have a 4.5~ SPR. We most certainly would bet big less frequently deeper. A few looks at some mildly connected sims confirms this, though again they are extrapolations. These are general enough ideas, though, that I think it's fair to use as a trend.
Even if we did apply a mixed strategy, this is a hand still shouldn't pot, because we have top two as well as a draw that dominates/covers draw they can have. We want to make sure lower wraps continue, as well as naked draws that we crush. Those hands should be folding against a pot bet.
In fact, now that I think of it we don't have a polarity advantage. OOP should have way more sets than we do, especially if we 4b a lot of AA (solver likes to flat a lot of AA IP, so our range is even less nutted since AA heavy range has weak polarity on this board). Pretty sure SB should have a reasonably significant donk range here in fact. Again, because most players do not donk enough this spot, we should be betting even less, and use smaller sizings. You just generally don't want to bet big very much vs a range with polarity advantage.
Again, I am pretty sure solver quite likes a one size approach (GTO would actually split, of course, but the EV change of having multiple sizing is very limited, so it doesn't make sense to apply a split range). I'm pretty sure also that one size is most certainly not pot.
AND NOW!
Breaking out some old school live reg calculator tactics:
Quote:
EDIT: Sorry I used the wrong sims for the maths, but whatever, it should still work out to prove the point. Feel free to substitute the numbers.
Forumla:
% of range SB which has a set or QJ after 3bet/calling:
Call frequency / Continue Freqnecy (Call + All in Frequency) x Filter Frequency
36.8% / 47.1%
x 21.6%
78.13% x 21.6%
=16.87%
vs
% of range BTN that has that is set or QJ after 4betting:
Filter Frequency:
8.8%
16.87% vs 8.8% of range is composed of QJ+.
As you can see, almost double. SB almost certainly is supposed to have a significant donk range in this spot. If you filter and add in wraps, this will be true as well. I briefly checked and it is also the case (very similar freqs, couldn't be bothered to do forumla again).
We do not bet big, especially IP vs a range with polarity advantage, especially when both players have a jagged equity graph. That's... just how it is, I could expand on that but I think it should be fairly obvious. Also note that polarity is different at different stack depths. The deeper it is, the worse an AA heavy range does.
A waaaay simpler way of doing this is getting a 4b pot flop sim and finding the equity graph but I don't have a computer that can run this now. Also if we nodelock us to 4b all aces, that'd be more accurate. Admission here: I flat very few AA btn vs sb myself. Think it's generally a good strat, just saying this would change our frequency further against our polarity advantage.