Hi,

I have a game theory question regarding balanced value betting on the river. The scenario is that the obvious flopped OE came in on the river along with a backdoor flush draw.

Hero has cbet both the turn and the river in position and Villain has x/c twice.

Hero's distribution on the river is:

flushes 34%
str 17%
Sets/T2P 32%
Air 17%

Villain's distribution on the river is:

flushes 31%
str 8%
2P (not T2P) 61%

I would say that his distribution of flushes and my distribution of flushes are about even in strength and both are in the high end. How should I as the Hero be thinking GTO-wise in this spot? In other words if I have no reads on Villain how thinly should I be value betting?

My range is very strong here and I would like to be able to bluff as much air as possible. The problem is that not all my VBs are pure VBs since he will call with better a good pct of the time.

Should I even VB my straight here? Can I force him to call with some of his 2P? If not then I should never VB my straights?

Do I VB all my flushes? And if so how much of my air can I bluff optimally?

Can anybody help me how to calculate these things?

Help much appreciated. Thanks!