almasya

Where did you find these equilab R estimations?

If we are IP, and we both have a fairly wide range (BvB) I would raise some 9x hands and balancing is the right amount of bluff A3+BFD, JTs+BFD. And call with FD , but the supervisory villain can begin bet-call the flop and donk 3flesh turn, push the river, then you need to add a certain amount of flush draw on the flop raising range, and I would add some Ax FD with which we can easily push on the flop 3b and the barrel (or not to SdV) later.

88+, AQo+,ATs+,KQs,QJs

I agree with you, but PSn advises defend turn through raising AK-AT without FD !!!
I'm trying to understand whether there is in this sense.

I do not know how to insert text block contains a savefile for CardRunnersEV?
I get that check QQ profitable bet-fold, and it is better to polarize range the river bet.

1. BB has little hands to check-call the river. But has a lot of weak pairs that can transform into a bluff on the river (K to turn a good card for 2barrel - bb call). Yes, he does not have many strong hands for balance bluff check-raise but ...
2. If the hero bet QQ (JJ+), what he does with gutshots A3/A4/97s/96s OTR (fd he did not 3barrel - bad blocker) => с-bet river is too high and hero opens himself wide check-raise (1).

Maybe with QQ it makes sense or check-back or bet-call to punish unbalanced check-raise.

"Villain can have a bunch of better hands than KK in his hand, which makes KK still too thin to v-bet." I agree with you, and Villain has not a lot of worse hands than KK - this confirms the analysis CREV. I think a villain called the turn not from a great mind and a desire to catch a bluff did not improve on the river (fold to not 6 or A river) and then the call turn was clearly not at odds. And if so it can be removed A6 from his river range, so I thought during the game and then push not as thin.

It´s hard to imagine...
Hero bluff range on the river after this action - 78s(bdfd flop), 55, 77, 88, TT converted into a river bluff.
Villain shows A6s :-(

Preflop played by the dynamics (fold to 4b 60%) .On 336r flop min raise I think is very suspicious, and possibly trigger 3bet bluff and call on all pairs.
I think the average reg Z100 will not bluff catch turn with Ax on a board like this, my small sizing can trigger rebluff his air on flop or turn.
I think 1)"he thinks you would bluff this card often" 2)if the villain had an overpair on the turn, he will not fold on river, because he understands "Ace OTR is probably a blank for both ranges after this action."
It seemed to me that easy push river, and as shown by the analysis in CREV - very marginally. If villain call JJ+ =>push, if QQ+ =>check.
Perhaps, as I noticed only then, WoonSD=60% (sample 300 hands) had to persuade me to check river.

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"When we bet the river in position, it reopens the betting and gives our opponent the opportunity to check-raise with balanced range of value hands and bluffs. And when he does this, both calling and folding with most of the hands in our range will have an expected value of zero meaning we’ll have effectively lost the hand. So notice that by bet-folding the river in position, we’llnot only lose our bet to hands which beat us, but our bet and thepot will also effectively be lost to hands which our opponentbluffs in a balanced check-raising range... that in order for in position value betting
to be superior to checking, our opponent must call with the losing
hand frequently enough to overcome the fact that we’ll sometimes
fold the best hand to our opponent’s check-raise bluffs." p335 APL NLH
Betting and calling would make sense if villain is unbalanced and overly bluffs x/R river or overly call with the losing hand .

"BTN is one of the top 5 biggest winning regs" could think of this - "nl400 it's the players understand the need to be aggressive, but not mature enough to balance. I am betting and calling, i want to bluff catch."

It would be interesting to see how you got with CREV "Checking is better than betting by roughly 4.5-6bbs on the Jc river and betting ~2/3 PSB or $1,200 seems to maximize EV on the 3d river" (export the file and make available here)

Bingo!
I think I found the answer to my question here.

Suppose our bet will always be the size of the 0.75 pot and opponent can only call or fold.
When we bet the river, our opponent is getting offered 7-to-3 odds to call our bet, and this requires us to bluff 30% time.
Now you need to figure out what the value bet on the river.
“…it’s always more profitable to jam than check as long as we win over half the time when called.” Janda p.331
As we add balanced bluffs? Only for strong (how?) hands add 3 bluff to 7 value bet, and the weak value bet add without bluffs. Or our bet range should have 66% Eq versus range of the opponent (of the river or call river bet)?
For example Jh 7c 4d 2h 3c
http://www.runitonce.com/nlhe/help-me-plan-my-range-vs-range-strategy/

That's what I understood from the above explanation.
Correct please, if you see an error.
How we design KK-JJ,77,44,(A2-A5,AT):xx =33 …
QQ - the weakest value hand in the range UTG bet river, which is Eq> 50% against the calling range BB
range of BB is
9 combos of better hands (44,77,JJ)
6 combos of AJ that fold
6 combos of AJ that call
5 combos of KJs-QJs that call.
9 combos JTs,TT that fold.
QJ - weakest hand in the calling range BB. It is obvious that QJ weaker any vbet river UTG (from QQ to A5s), therefore, we need to add bluffs for all hands (3 bluffs to 7 value bets)

I think I found the answer to my question here ...
http://www.runitonce.com/nlhe/bluff-combos-on-river-when-our-value-bet/