Do you have a time on the video for this?

~26min

You're right. I didn't. This will move more AK into bigger sizings and let him raise the river thinner with his straights forcing me to check my marginal hands slightly more often..

Thanks JD!
I agree with your assessment as we add more AK to the OOP range our average bet sizing should fall. At the percentage you gave (5% AKo, 60% Kx) then IP should still use a bigger sizing with his Kx combos, but he will be able to bet them less frequently (now that oop range is stronger) and the upper bound on the sizing should be smaller.

It seems that the smaller sizing with Kx is dependent on the number of hands, we could win a value bet from on the river as opposed to tie. The only way for our betsizing with Kx to diverge from AKo is when we can make more money forcing weak calls then we can make folding chops.

Hmm I don't know the actual equilibrium here off the top of my head. I'll have to get back to you on the distribution that makes Kx is indifferent between betting small or betting big.

Good point. Seems like in the 5% AK, 60% Kx, 35% 8x or worse, we might only want the one large bet size for AK.

more time == more gto , papiiiii, papi tiler?

The one that he needs to call with to make you indifferent to bluffing. If that hand is not indifferent then you should either always bluff or never bluff.

How does this idea extend to turns or flops? It seems like there are a lot of earlier street spots where people can certainly over bluff, but then again, the terms "value" and "bluff" aren't very good classifications of what's happening on earlier streets because everything has some non-zero amount of equity (usually). Then there's the issue of range advantage. Are we still required to reach near-MDF thresholds on earlier streets in spots where people can over bluff?

@How does this idea extend to turns and flops? Fairly well, but the math is substantially more complicated. We still try to make a threshold hand indifferent ,but sometimes that threshold hand now has substantial equity so we overcall to make it indifferent. . We could also bet more marginal hands for protection and check stronger ones to prevent future street exploitation. Also we will always fold more oop on early streets because the ip player has the ability to check back and gain some equity with even his weakest hands.
Its not as cut and dried, but the logic still applies.We just have to look at some other factors to make decisions.

Definitely in the future. Currently I've been enjoying the pio videos. Its been fun to learn something while I'm video producing :)

+1 Tyler I much prefer your "concept" vids

Thanks Hypage!

Thanks Daniel! I appreciate the compliments. I think I figured it out around 32 mins in the video :)