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I am trying to figure out this mtt thing, found an interesting spot last night - I'm sure there is a mathematic ICM answer.
Just become 3 handed, I am chip leader with 100k, opp1 has 25k and opp2 had 20k. Opp2 has been away for the last 15 mins. Payouts 150 - 220 - 370. I think blinds are 1k 2k or summit.
I can shove every hand and opp1 knows that he can fold his way to 2nd. If he does this he is left with a miniature bowl - so if he allows me to get away with this, and bags himself 2nd, I win the tourney from here 95% of the time.
So the question is, what is the correct play for him? He is guaranteed 2nd if he wants it, but there is a big jump between 2nd and 1st money which he can essentially say goodbye to is he fold to 2nd .
Mathermatically, i guess he should be calling with top x% of hands - knowing that the risk of busting is outweighed by the advantage of having a playable stack for HU? Is there a way of figuring out this calling range? Some combination of % chance of winning hand / additional equity gained vs potential of losing the £70 pay jump?
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Btw I'm vv shocked by that result, if I knew he was jamming ATC I'd be calling lighter than above definitely, you live and learn I guess.