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I think pushing over was the right thing to do, point of dispute, I think it was the only thing you could do. I will try to explain clearly however I lack the mathematics you so eloquently possess. Here is my reasoning; You fold you might look weak and and increase the likelihood of aggression from the other players, making it so you might not as effectively pwn the bubble anymore. Although this in itself is not as big a factor as I think it is, I do think that by pushing over with AK, even if you lose, you are showing that you are not trying to pwn with weak hands. Which means a huge advantage in the psychological aspect of the game. If you lose I highly doubt your bubble pwning will be affected and within a few orbits you should be back to where you were, and if you win, not only will your chip stack be a huge advantage but the psychological advantage on top of that along with your play, should be enough to almost guarantee first place.
Of course this could be wrong, but I personally think you are adding another edge to your situation by pushing.
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