Re: AA, villain pushes all-in on river
pre-flop: fine
flop: fine
turn: I'd rather check, as this villain seems like the type to raise the flop with a flushdraw. Therefore, I'm not too worried about giving free cards, and get to keep the pot relatively small. Since he only called your turn bet, I see no reason to believe he has anything better than a pair (AJ-TJ, KJ-QJ, TT, 88, etc). The same rationale would probably apply if he had checked the turn behind you.
river: why such a small bet? If this is a value bet, don't you think you can get paid more than 20.00? Or, did you realize that you had built a larger pot than you would've liked, but decided to bet anyway to avoid appearing weak?
Based on the manner in which you built the pot (and the 2.4-1 pot-odds), you're forced to call the river bet. This isn't so bad, as there's a good chance you're best here.
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