For instance, do you have a different opinion than me regarding this flop in particular?
I have similar opinion. Without knowing his 4bet range we dont know what to do postflop, but vs unknown it is fold because I expect KK+, AQ to 4bet so there are not many weaker on this flop.
If he would call AQ, KQs vs 3bet, then we can call turn and give up river.
if people would cold 4bet QQ+/AK that will mean we will get cold 4bet about 15% of the time
Oops, I totally missed that there are 7 players behind. This changes the things totally. I play only 6 max, I knew this is full ring, but somehow expected that there are max 3-4 players behind.
I am not sure if people 4bet cold AK, QQ and stack off vs those positions in full ring? in 6max I would fold AK, QQ vs 3bet from MP who is not too agro especially if there are players behind me.
If they 4bet cold QQ+, AK then it is worst case scenario. It is 2.5% range, so they will all fold:
0.97.5 ^ 7 = 84% (I guess you came to 15% 4bet similarly ? )
Well this is not completely accurate because we block premiums so there are like 30% less of them, so it will be around 4bet cold 88% of time when we include blocker effect.
We can calculate EV now for this. We fold vs 4bet cold, QQ+, AK range where we lose 11bb. If again we use EV for the worst case which I calculated:
EV_all_fold = FE * dead_money + (1-FE) * (equity * total_pot - remain_pot)
Then EV including all cases (when all fold and when not all fold), using probabilty that
all fold = 0.88:
EV = P_all_fold * EV_all_fold + (1-P_all_fold ) * (-11BB)
EV = 0.88 * 1.55BB + 0.12 * (-11bb)
EV = 0.04BB
So we make profit
Well it is the worst case scenario, where villian stacks off only AA, KK and we dont know it and go all in which will in reality super rarely happen, and also we assumed all players behind 4bet cold QQ+, AK which I am not sure is the case. Also if they are balanced they should have some bluffs in range, where AK will be +EV stack off vs their range. If they have AK+, QQ then we fold vs 4bet cold.
They need to have small % of bluffs to make our shove profitable with AK, which will then even increase our EV.
What exactly is the problem of 3betting KK+ and proper amount of bluffs? If villain decides to fold AK or QQ I definitely don't mind it at all.
if you have only KK+ as value, this is 12 combos, so you can use only around 16 combos bluffs depending on 4bet size.
The problem is that postflop you really cant rep many boards due to low number of combos which is especially problem deep. Lets say you choose to bluff with AQ
On Qxx, Axx boards your range will be very strong and villian doesnt have reason to defend weaker Ax and 2nd pairs, floats etc.
If board would be Kxx, then you dont hit it good, basically 9 combos value and 16 A high, so villian can easily defend, calling Kx blockers which will make your range bluff heavy. Similar is on lower boards.
If you would choose to bluff 67s-T9s, you have similar problems on low boards you hit weak pairs most of the time, and on boards like Txx, Jxx, Qxx, Kxx, Axx you are bluff heavy. Again assuming villian will call down with blocker hands which are top pairs.