4-betting range hypothetical

You're 8-handed, 100bb deep all around, $0.50/1 blinds on PokerStars. It's folded to you in the HJ, and you raise to 4x. The cutoff folds, and the button (a total unknown) 3-bets to 12x. What is your 4-betting range, and why?

I don't think I 4bet complete unknowns. if anything it would be AA/KK for value, but that may be about it, and not everytime.

I don't think an unknown is 3betting in that situation that 4betting for value either as a bluff or for value is the best play

AA/KK/(QQ/AK) or more depending on what I think of him for value.
Throw in a bunch of suited connectors, suited Aces or smaller pairs as a bruff.

These spots are all about flow and the other guy's range.

probably just AK and AA tbh

I rarely 4-bet bruff unknowns.

on second reading i see that you have specified the stacks and 3bet size so just ignore that paragraph

Agreed against an unknown I 4 bet pretty much only AA, KK, AK. This is assuming absolutely no reads (like this is the first time you've seen him 3bet, haven't seen many showdowns etc). Why? 'Cause if I 4bet (even bluffing), I'm calling ai most of the time, and vs an unknow it does absolutely nothing for metagame.

Ya know I've actually been thinking about this a lot lately, and had something pop in my head. If I raise in the HJ and the button 3bets as an unknow, maybe I should be 4betting much lighter. Why? Because I'm unknown to him as well and therefore my 4 bets should get tons of credit to an unknown.
Maybe I don't need to stack off with every hand I 4 bet, especially against an unknown. Even a fairly weekish 4 bet should get a lot of credit, so say I raise to 4x he raises to 12x, if I raise to say even 28x or so he can only really call or raise w/AA or KK I would think. Or maybe this would just be giving away money, but when I thought about, "hey, my answer is about the same as the other guys here", I thought, "maybe it should be different if thats how the regulars play." Anyway, thanks for provoking more thought spoon.

If I'm feeling nitty = likely.

AA - most of the time, but a case can be made for calling and then check-raising any flop all-in.
KK - occasionally, fold to 5-bet and fearing AA if they call.

Until they prove otherwise, typically i assign a 100bb unknown a 3-betting range of AA/KK. AA I generally 4-bet here, but only cos an unknown is likely to call with KK then bet the flop hard if checked to. KK I flat. AK i tend to fold, other pairs I call - but take care post plop.

meh even if we're deep i hate the idea of 4bet/folding KK

I've been playing around with writing a program to help me automate certain common calculations I do when forming ranges against specific opponents and crap like that (a more functional and somewhat glorified spreadsheet tbh), and I got to thinking about facing 3-bets against unknowns and yadda yadda yadda we have this thread. I've been thinking about similar problems and here's a fun example with a constraint on raise-sizing and not being able to call.

So say that 100bb deep we are restricted in our actions so that we can only raise to 4x, 4-bet to 32x, or fold, and villain can only 3-bet to 12x, 5-bet shove, or fold. We are in the cutoff, villain is in the button, and the blinds fold (we have raised to 4x, villain 3-bets to 12x, etc.) After 1.5bb in blinds, we raise to 4x, and villain 3-bets to 12x. Since he's betting 12bb to win 5.5bb he has to take it down 68.57% of the time to break even, so to make bluffing have the same EV as folding for villain, we should be 4-betting 31.43% of the time. Similarly, we have the choice to 4-bet to 32bb, when villain has the option to make a 5-bet shove. He'll be betting 88bb to win a pot of 45.5bb, and along similar lines as above he'll need to take it down 65.92% of the time, meaning we should call 34.08% of the time to make a 5-bet bluff have the same EV as folding without taking into account the showdown equity of when we call and what range we call with.

While this particular fantasy scenario isn't all that important by itself, it gives us some ideas about how our ranges should break down in each position against unknown players when we take into consideration the real world (ability to bet any amount, different sized stacks than 100bb, ability to call, other players in the pot, balance, etc.)

We cant assume an unknown wont continue with JJ+,AK, so saying that 4-betting KK doesnt get called by worse is just wrong.

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4-betting range hypothetical