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So, there seem to be some varied opinions on this, mostly on the side of nitty. One reason that I posted this is that personally I have probably never folded before in a similar situation like this. 99 out of 100 times, I reraise, and 90/100 probably call one shover, although probably fold a good amount of the time if both players shove. I have over 500,000 hands of tournament play that I could scour to see how many times I play for my stack in a similar situation with QQ and was either ahead or behind.
But I'll post what I think now about the hand along with more specific information about the players based on HHs.
The initial raiser had raised 4 hands out of 107 preflop, and min-raising, it seemed strong. Sure this could just be a bad run of cards. Looking back at the stats now, he had only been initial raiser twice, and 2.5 raised once, and 3x raised the other. I don't always think a min-raise means strong, but from a guy playing 12/3, I side on strong. {JJ+, AK}. Looking back on his showdown hands he had shown AA, AJs, AQs, KK, AKs, QJs, and each one won at showdown. He 3 bet with the AKs and KK, cold-called with AQs in position, and 3x raised AJs from CO, and 2.5x raised AA, was limped around to him in blinds with QJs (which flopped a straight). I can't say I knew all of this specifically, but I knew he was super tight and had shown down good hands and knew he was playing 12/3. I my mind I was calling to see how he would react on the flop. I admit, Cold-calling is weak, but I'm in position. I did make the mistake of not thinking about how I was inviting the blinds to play.
Some people might interpret the small-blind reraising here as a squeeze. But once again, this opponent had never 3-bet, not once in 150 hands, and he wasn't a maniac. In this case, he raised 1/2 of his stack, which means to me that is strong and committed. Looking back, Lapikas had shown AJs twice, KQo, AKo, QQ, KK, and TT, winning all but one (AJs was checked down by both opponents, and lost to 88). Can't say I knew all of this, but I knew he hadn't shown down garbage. I think I have to put him on the same range as the initial raiser, JJ+, AK+. Sure there is a change that is raising weak half of his stack to look stronger than he is, but the stats don't indicate that, and if he is doing that, good for him.
More action. Once the initial raiser flats, I think I can rule out KK and QQ(unlikely anyway), but that's it. He could easily flat with AA trying to induce me, or he could flat with AK and JJ hoping to see a good flop for him.
Someone equated this to philhellmuth folding QQ to a raise with 15 bb. Me having 22 BB's is I think a little different, although not much. However, I didn't fold like phil, I flatted (arguably very weak, but as not super nitty as open folding), and I only folded after I saw the continued action with reads on those two players.
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