Poker Did I Play This Right?

Tournament, It's toward the end of the night, I am only a few spots out from a paying position and blinds are getting big! I'm holding AT in the CO, everybody limps in before me and I raise to 4x BB. I get two callers. Flop comes - 773

First action (Player 1 - Has roughly 10x BB left in his stack) shoves all in. My thought here is that the 773 couldn't have helped him all that much. He called my raise and with his stack size, he's not going to be calling raises with small connectors or even small pairs I would assume.. but if he was sitting on something like AA he would have likely re-raised me pre-flop. Maybe he has KQ or even QJ? I'm thinking I might be able to call here, his stack is about 1/5 of mine so I have him easily covered. Also, this player has shoved once before earlier in the night and it was in a super weird spot. I'm liking my odds against him here.

Next player (Player 2, acts before me) then also shoves all in. So now I'm thinking okay this is a no brainer fold at this point if he is going to call / shove all in as well, so I fold. Both players are now all in.

Turn comes - 10
River come - A

Player 1 flips over QJ, player 2 flips over JT and I want to puke. Would've taken both players out and added a huge chunk to my stack. Easily enough to cruise into a paying spot for the night.

Was my thought process correct here? Obviously we now know after the fact I would have won, had I called.. but was this the right move? What about if Player 2 didn't call? Where could I have improved this play?

Source

 

Well..nothing much to think when 2 players all in just after the flop....they both could have a 7 and high kicker....

Actually there's none to small action with all-in....imho

 

Your thinking is correct, maybe because the bet is small, the other players don't take stacks seriously!