So this hand happened tonight and got me thinking about when it might be correct to fold AA in a multiway all in flop

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HAND #1
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Poker Stars, $10.40 Buy-in (25/50 blinds, 5 ante) NL Hold'em Tourney, 10 Players
Hand History Converter by Stoxpoker

UTG: 1,640 (32.8 bb)
UTG+1: 1,575 (31.5 bb)
UTG+2: 1,340 (26.8 bb)
BTN: 2,255 (45.1 bb)
SB: 2,215 (44.3 bb)
Hero (BB): 1,410 (28.2 bb)
MP1: 1,490 (29.8 bb)
MP2: 1,445 (28.9 bb)
MP3: 1,415 (28.3 bb)
CO: 215 (4.3 bb)

Pre-Flop: Hero is BB with A A
MP1 folds, MP2 raises to 200, 3 folds, UTG+1 raises to 1,570 and is all-in, 3 folds, Hero calls 1,355 and is all-in, MP2 calls 1,240 and is all-in




Say its the first hand and 3 people go all in in front of you. Do you dump AA then? How about if 4 people go all in?