Thanks @everyone for so patiently entertaining my approach.
Quote:
Originally Posted by Ronny Mahoni
Change 1:
What exactly did you change? Did you just subtract the chips from BB and therefore decrease the total chipamount? Or did you redistribute it?
Subtracted.
Quote:
Originally Posted by Ronny Mahoni
For example, if you simply subtract, the Equity of everyone else increases. Hence, the loss when you get called and lose means a lot more -EV.
While on the other hand winning the pot through his fold, adds a lot less +EV.
The difference in BBs calling range however shouldnt change much, as his situation doesnt change, he is still the chip leader and still enjoys his chipleader EV when he folds.
That makes a lot of sense. So the real story here is that Hero's relative stack increases. This is the kind of insight I was hoping to get, so thanks!
I've tested an alternative of Change 1, where instead of subtracting 10BB from the Big Blind, they instead give both other players (but not hero) 5BB. In that case, the EV of Pushing with T7o goes from +0.15% to +0.24%, which is actually almost exactly what I predicted. Although the calling range also goes up, which is not what I predicted. Here are all three results:
It also makes me wonder why it's not more common to have your current % of all chips as a quantity. According to a google search, PokerTracker doesn't even have this as a statistic. I guess it's not too hard to compute it manually.
Quote:
Originally Posted by DukeOfDeath
Shorter stack decreases his "at the moment ICM" and as such decreases his risk because he is closer to 0 at baseline.
For example, give him an infinitely small stack so that he has 1 chip more than the BB he posted.... he's calling literally everything.
I do get that very small stacks have the largest range. I was envisioning range-as-a-function-of-stack-size to start at 100% for 1 Chip, then go down as commitment decreases, but eventually go up again as the stack gets so large that it can comfortably survive a call. Like, suppose the payout structure is 5-2-2-0-0-0, we're at the bubble, and someone shoves 8BB. My range is largest if I have 1 Chip, but intuitively, it's larger if I have 40BB than if I have 8BB (because with 40, I don't risk elimination). Thus (according to my model) it's a parabola-shaped function that goes down, hits a minimum somewhere, and then goes up again. However, I assumed that, surely, the commitment effect is less important when we're already at 13BB, so I put the minimum to the left of 13BB, hence expecting 23BB to have a larger range than 13BB.
Am I wrong about the function being parabola-shaped or just about where the minimum is?
Quote:
Originally Posted by Ronny Mahoni
This is nothing you can know or calculate like that. All you can do is look at as many situations as possible and develop a feeling how ICM works, what it affects and how. Some stuff is counter-intuitive at first, but eventually youll understand more and more of it.
However, you don't actually get that practice by playing poker (or at least I don't) because making a decision in-game doesn't tell you whether it was the correct decision. I think that's like the principled reason why I struggle more with poker than other games. For almost any other game, you can learn just by playing.
So, when you say 'look at many situations', do you do this with tools like ICMIZE, by analyzing games?
Quote:
Originally Posted by Ronny Mahoni
Its not a good idea to use Equilibrium ranges in low stake games. But ICMizer should let you adjust ranges. Generally speaking, regs tend to call to tight at low stakes, while recs call to wide. But thats just generally. For some it is reverse, in some spots an otherwise tight caller, might call to wide and vice-versa.
Got it. So, look what ICMIZE says for manually set ranges.
As a reg, I can attest to calling too tightly and seeing many others calling too widely.