Originally posted by Bierbaer
The point is we are not folding out better hands.
So shoving is exactly the same as check/calling against a range of {KK,AA} - but he is never calling the shove with AK.
So even if you say he is always checking back AK and always shoves KK+, the result of c/calling and shoving is exactly the same - you get it in vs KK+ in both cases and win vs AK, the only difference is that in case 1 you win at SD and in case 2 he folds.
The second he has even 1 combination of AK in his range that he's shoving the river, our EV is higher by check/calling than by shoving because now he has bluffs in the range we're getting the money in against.
Do you see what I mean?
yes of course. i totally got that. but that's with your assumption is that he's never folding kk+, while i think that he could still fold those. so given a swap in positions, would we call river with kk+?
you also excluded some occasional Qx, maybe AQ(ofc not too much for value and folding vs 4b), that we could be folding out.
since i'm taggish and am expected to fold alot to 3b OOP esp when it's from MP vs my UTG, he's definitely bluff 3b abit more vs me.
point of shoving is that he definitely can fold worse hands, but also better hands Qx KK+, because i could be inclined to fold KK/AA in this spot on the river(is this right or too weakish?)
if he bets on the river, he's super polarize(probably just AA and some bluffs), and when he checks back, we're usually beaten by his value range.
with the above argument, i do see merits in check calling, and i do see merits in shoving what could be the best hand, but could still fold better.
could you point out if anything is wrong with the above's analysis?
if not, i arrive at the comparision between the merits of c/c or bAI. and i'm stuck.