ICM exists because any other play can be exploited, hence why when we make a shove we call it an "unexploitable shove". it utilises sklansky's gap concept heavily, meaning you need a much greater hand to call than to shove, because when you are shoving you take into account a great deal of fold equity. we add to this concept extra fold equity when you have the opponent covered and you are on the bubble, for example, and decrease this fold equity when you are shoving into a monster-stack.
the caller should then call with a hand that is quite far ahead of your range. your range will then increase, his callrange will increase, making your range decrease etc etc. a couple of iterations of this and we can estimate a pushrange in any situation against any stack.
you must use push/fold when your stack is less than 10BB because at this point any missed hand + continuation bet will commit you, assuming pot committed = half your stack. therefore you maximise fold equity and minimise exploitation with a direct all-in preflop.
something like that?
however 2 problems exist here: we are playing quite deepstacked (i have 17BB), and quite far from the bubble. already, we can see a shove by the villain (investing 17BB for a possible 1.5BB), and a decrease of FE far from the bubble calls for a normal raise.
so the question isn't really about ICM here, it's about how to respond to his raise. normally, without reads, i actually fold ATs in this spot, as i judge my FE against better hands to be absolutely 0 in this spot, and only a coinflip will call, and a very small range of hands he would initially raise would fold. so i'm effectively taking a flip against chipleader (---$EV afaik).
this is why i'm trying this "new" play. with a low Harrington's Q value and quite far from the bubble i'm more than happy to go broke with any high pair postflop, knowing full well that the villain is more than willing to go all the way against a shortstack with his hand that missed 66% of the time, hence making the play +EV and marginally +$EV.
i don't know... very long-winded but that is my reasoning. i think that i understand ICM quite well but here what i'm really asking is how to best exploit my opponent's raise. meanwhile, if it's a pure ICM question, on this limit, with no reads, i fold here.