[StregaChess]

To summarize here we are folding AA preflop in order to keep someone in the hand, under the false assumption that we can bully and pwn the bubble? Ummm....
NO...That's just stupid here..

(FYI, next time list the hand like this)

player 2 - 3,300
player 3 - 3,400
Gee_Man - 6,000
player 4 - 800

Just take player 4 out and use your stack to crush the two remaining players.

Had this been the situation
Gee_Man - 6,000
player 2 - 3,300
player 3 - 3,400
player 4 - 800

I would raise to 800 hoping to trap, otherwise shove.

This whole concept is based on two players rolling over and dying, if that's the case it really does not matter much what you do. As played if the NITs wake up with a decent hand you'll double them up and be sorry that shorty is still around. Results mean nothing, even if it worked out this time.. I can't see this as being a +EV