Re: risking healthy stack on a three-way with hooks...
The way I see it, with the criteria you gave, there are 2 hands you have an advantage on (99,TT), 2 hands you coinflip on (AQ, AK), and 3 hands that have you screwed (QQ, KK, AA). Remember that AQ and AK are dealt more often than any pocket pair.
Based on that, it seems about even. I don't think you need to worry about the small stack's cards, because he could push with any pair and any good Ace. However, if he has an Ace, he and the original raiser could be holding each other's outs, making it more likely that you win.
Ex. 1
You: JJ
Orig. Raiser: AK
Small Stack: AT
Against a situation like this, you are over 50% to win against 2 players.
Ex. 2
You: JJ
Orig. Raiser: AK
Small Stack: 66
Here you are 46% to win against 2 players.
I see these situations as being reasonably likely, which in my opinion leans me towards a call here.
If he has a higher PP, you are in trouble, but I find that to be less likely.
But it is a pretty close decision, I may not be right here.
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