Quote:
Originally Posted by ChocolateMoo
Estimate for villain's range:
AA - 1
AK - 8
AQ - 4
TT - 3
88 - 1.5 (disc)
ATs - 1 (disc)
KQs/KJs/QJs - 1.5 (disc)
AJ - 6 (disc)
I beat 15.5 / 26 combos (and tie 4 more). As the discounted range approaches 0, however, then I beat 8/16 (making c/raise/call 3 bet breakeven)
My perceived range should be Ax/bluffs. I opened UTG, so my Ax range is probably something like A8s/A9s/AT-AK. My concern with c/raising is if villain scare-checks AK (he's only getting value from AJ/A9s), making his river bet polarized towards hands better than AQ.
I don't think he's bluffing with any non-pair hands on the river, so I think any semibluffs he tried on the turn checks the river as it has SD value. This is a pro for leading river, but his semibluff range is likely small (or 0) considering that the pot is protected when I raised. So I think the decisions are among: c/c, c/raise/call 3, c/raise/fold. I think I like c/raise/fold, but folding for 1bet in huge pots always feels ludicrous so in reality I'd just call the 3bet.
FWIW, if I were Villain, the AJ combos would be close to zero. (I most likely would have just called down from your flop checkraise if I had that.) So, to me, including in Villain's range 6 (out of 8) combos of AJ feels optimistic.
But, anyway, according to the river range you provided for Villain, it's looking like a bet-call will net you roughly +3.5 BB per 26 rivers. (I'm assuming Villain will raise sets and straights.)
If he bets AK and better if checked to, then a check-call is going to net you +2.5 BB out of 26 rivers (based, again, on the range you provided).
So long as he bets AK+ and pays off a checkraise (and never 3-bets AQ or AT), a river checkraise-fold would net 5 BB out of 26 rivers based on the assumptions we're using.
A checkraise-call is not vulnerable to a spazzy accidental 3-bet bluff like the checkraise-fold is, but it also potentially is less effective. I don't have a very good feel for how often Villain goes ahead and 3-bets a set, but it certainly wouldn't surprise me if he did. But if he's almost always 3-betting when he has you beat, then a checkraise-call is about break-even, like you say.
Since I want to discount AJ more heavily than you have, and since Villain quite likely cannot really be counted on to bet AK 100% of the time if checked to on the river, and since Villain is likely to do a good job of picking which of his hands to raise if we bet into him, I suspect that a river check-call may be the best play, even though it feels distasteful.