Join Date: Mar 2008
Posts: 5,386
I'm not exactly sure what your question is here. It might be, "was this a bad call by the button?" It also might be, "should I be shoving lighter?" Answers: maybe, it depends, and yes, you should be shoving lighter.
With respect to the first question, against that exact range, the button's equity is a little less than 42%, if you include 87s (which seems reasonable if you'll shove 86s), it becomes about 42.2%. His pot odds are about 1.35:1, which translates to needing an equity of about 42.5% to make the call correct. At best, if he knew your exact range, his call would be very very slightly wrong from a cEV standpoint. From a $EV standpoint, I can't imagine that this call is correct, though I don't have an ICM calculator, so I don't know for sure.
As for should you be shoving more? Probably. I'd certainly shove more hands than that. A 15-20 BB stack is generally considered to be the optimal stack size for the resteal. In a three-handed game, I would probably be restealing pretty loosely with this size stack, assuming they were aggressive players, and would raise pretty light in position. The current distribution of chips would also make me more likely to resteal. Two players are effectively tied for first, and you are about half their size. Incorrectly calling your shove shifts them from tied for first to distant third, so they will generally be less inclined to call, which should make you more likely to resteal. You're in last place, so you have to do something, and maximizing the leverage of your stack against the payout structure seems like the best way to try and pick up chips.
The only caveat to this line of thinking is that your opponents may be good enough to anticipate the necessity of calling your shove before they even raise. The 33k guarantee is a $100 one rebuy one add-on, right? Now, these are higher stakes than I play, but I'd assume, at that level, players are generally aware of the implications of taking various actions against various stack-sizes. Thus, you most likely have less fold equity shoving in this spot than you would shoving against a player with the same opening standards in a small stakes tournament, because the higher stakes raiser will anticipate looser restealing in response to his looser opening standards.