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Originally Posted by watergun7
Idk if you are serious here, but it has been proven mathematically that the number of betsizes GTO uses in ANY game is bounded by the number of distinct holecards.
So on any street GTO would have at most 169 sizes (this is just a mathematical upper bound- could be far smaller in a lot of cases).
I didn't know that, interesting, thanks. Do you have a link? Is it a coincidence that it's the number of suits squared?
It does sounds kind of suspicious though, especially if the largest bet size is anything near the stack. Maybe it's not. It would certainly make sense that GTO wouldn't, for instance, open shove a 7h6h5h flop. OTOH, if there were no upper bound, then in a 100bb game that means GTO's smallest size is like 35 cents*? That wouldn't quite smell right.
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I found this out recently, and it's cool to know that NLHE can be truly solved one day.
Yeah, that will be almost as cool as every reg on ACR down to HUNL5 perfectly understanding bb defense ranges.
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Also what you said about xr 30% being wrong couldn't be further from the truth. Actually in raised pots <25bb deep most paired boards have a far higher x/r freq than x/c.
Lol. As I recall, the thread is about HUNL, not the last round of a HUSNG.
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The board doesn't even need to be paired.
There are other boards where oop is weak, but we're talking very specifically about paired boards. That's important because even on the most favorable paired boards for OOP, like J88, OOP is still missing something like 20 out of the top 50 combos and another 25-30 out of the next 50. Boards like Q22 are totally devastating for OOP's range.
The problem with being that weak with a bloated range, even in the first case, is that villain can take the anti-Spladle line, putting in big bets, and quickly get an EV of close to the pot. And that's
if OOP knows how to play his range perfectly, which is unlikely given where he just ended up. That means he needs now to be expertly selecting from a palette of turd-hued options, for no reason other than pseudogtosis, of which this thread serves as a passable epidemiological study.
Which segues nicely into your next point,
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If you put in reasonable ranges for SB limp and BB check vs limp at 10bb, on AK9r OOP has 0 x/calling range and x/r it's entire continuing range
While checkraising an entire continuing range may be fine 10bb, at 100bb deep its bump-stock night at Mandalay Bay. You list one of the psycho options OOP would be forced to choose if he were hell bent on doing something that crazy, even on an AK9 board. On Q22r, it's 767 lessons without landing class.
*a slip of small stakes solipsism. My frame of reference is NL50.
Last edited by JudgeHoldem1848; 02-03-2018 at 11:51 PM.