Quote:
Originally Posted by Monsieur
I do not agree on including blocker QQ in calling range.
I don't think it's possible to construct a set of hands in villain's & hero's Nash Equilibrium range that does not include black QQ in BOTH ranges.
Here is my logic. I start with some default "common sense" range for betting/calling and then find the flaw (hand that can exploit) and then add hands to fix that.
STEP 1
Villain: {black QJ}
Hero: {black QJ}
This can not be NE because hero will want to bluff with black QQ which will succeed 100%.
STEP 2
Villian: {black QJ, some black QQ}
Hero: {black QJ, some red Q black J}
Note that red Q black J is the only hand hero can use to combat black QQ bluffs since all other hands will be -ev. But this still can not be NE because hero will want to bluff black JJ since it will succeed 100%. The only hands that can combat black JJ bluffs and not be -ev are black Q red J and black QQ. But black QQ is much more efficient since it will face black JJ all the time while red Q black J will be facing flush redraws against the other black QJ.
STEP 3
Villain: {black QJ, some black QQ}
Hero: {black QJ, some red Q black J, some black QQ}
Hero calls enough red Q black J to make black QQ indifferent to bluffing.
Hero calls enough black QQ to make black JJ indifferent to bluffing.
Note that there is no way to exploit the black QQ calling. Any hand that tries to punish black QQ calling is going to be -ev. For example Qh Js is going to face Qc Jc much more often than it faces black QQ so it will be -ev.