ok I just saw the OP actually includes that it's a single-table sng with chip stacks. Maybe a sng player can correct me but I'm pretty sure that's actually a fold. It has nothing to do with thinking the other guy has AA and as dsv said it would be a mistake with AA as well. I'm actually curious so I'm gonna run some ICM calculations, I'll assume Stars structure of 4.5x for 1st, 2.7x for 2nd, and 1.8x for 3rd:
Current
equity is 29.3%
If we fold:
- if small stack wins: equity = 28.5%
- if big stack wins: equity = 31.7%
if we call:
- we lose: equity = 0
- we win: equity = 41.9%
This actually misses the part where the big stack wins the entire pot and our equity is actually 20%, the percentage of the pot 3rd gets. The big stack typically has a stronger range than the short stack in pushing, so we should probably give him let's say 65% to win, so in the we lose colum we should probably get 65% of 20% which comes out to 13%.
Let's use same equities for the first part. If we fold our ICM is 65%*31.7% + 35%*28.5% = 30.58%
If we call let's say we have 80% to win
I just ran pokerstove and gave the shortstack top 50% of hands and bigger stack top 15% of hands. Completely arbitrary but I think it's a decent approximation. We have about 61.5% against this range. Wow I'm good. Just because I already had it stoved in I decided to take out our KK and see how top 50% did against top 15%. It's almost exactly 65-35 (but it's dropping as I type this so it could be a bit off).
Anyway... when we call 61.5% of the time we have 41.9% equity and 38.5% of the time we have 13% equity.
30.77% equity.
So the answer is to call in this spot if all my assumptions are right (which they probably aren't). It's close though. I'm pretty sure if we have QQ in this spot it's a fold. Also if we have AA it's not that much clearer of a call although obviously it's still a call since KK is a call. The important part is we're not worried about being beat preflop, we're worried about being beat postflop and winning a pot not giving us enough equity in the tournament to make up for the times we lose and have no equity. Also I think if it were final 5 not final 4 this would also be closer to a fold because then if we lost the hand to the big stack we would have 0% equity.
But yeah, this is why I laugh when people summarize decisions with "play to win" or "you've gotta money first then win", because decisions in tournament poker are so much more complicated than simple mottos, although the first motto can never go too far wrong in MTTs where there's such an extremely steep structure and the second one is true in sattys.