So your M is less than 10. You're risking 1k and your tournament life to pick up 120 in blinds. Madness I says. Also keep in mind that ATs is one of those hands that is in very bad shape if you get called. I'd prefer this shove with 67s where at least you gain some value from fold equity.
I'm not shoving to pick up 120 in blinds. The pot contains 660.
Let's analyze this:
If they have AJ-AK and maybe KK+(if they can't let it go) they will call me. (To make it a bit easyer, let's say I only get one caller, fair enough?).
It would be very rare for someone to limp with AJ+ here, but lets give them the benefit of the doubt and say that they have these hands 20% of the time
If they will call 20%, they will fold 80%. So 80% of the time i'll end up with 1480.
1480 * 0.8 = 1184If I get called against that range (20% of the times) i have 28% chance to win and end up with around 2250.
0.2 * 0.28 * 2250 = 126If I get called and lose I'll have 0 chips left.
If I fold I'll have 820 chips left.
EV of shove = 1184 + 126 + 0 = 1310I do not think they have these hands 20% of the time, as these where pretty standard micro-stakes players.
Is this analisys OK? I may have missed something here.
Edit: I didn't take the times I'll get called by a weaker ace into the equation. But I don't think it would make the shove -EV. Rather the opposite.