Ok everyone, here is a situation that came up about a week ago in an online tournament. It was 6-handed and the guy one before the big had just been beaten out of a big hand and the blinds had just been raised. He had about 1/4 of the big blind left. I had about 2 BB left myself. He just folded his hand, making me second to act. At this point I am thinking to myself there isn't a hand I would want to play here, better to let him try to survive the blinds and guarantee myself 5th place. The difference between 5th and 6th was about $95 for a $30 buy-in. I looked down and saw KK. I threw it away. It didn't matter if it was AA, I would have thrown it away. I didn't have enough firepower to scare anyone out and the one player I would want in the pot with me wasn't going to be there.
Turned out the two biggest stacks got involved in a small pot and my KK would have been beat by a QJ by the biggest stack, who flopped top two. Short stack lost the next hand as I hoped. I ended up doubling up in the BB and went on to finish 4th.
I agree AA isn't a hand you throw away much at all, but when you get to the money stages in a good sized tourney, there are going to be situations where you have to enter a hand saying they might as well deal me out. Other times you will see multiple players enter a pot where they could go bust and you have to think hard about maybe letting a bigger stack try to knock them out. Once again never make the mistake of thinking only about your card strength. Play the tournament, not the cards.