I don't think they're going to min-reraise you with any old junk wobbly, you can gather a lot of info from the villains hand by his rr on the flop.
Being oop makes continuing with this hand very difficult: You have 3 options:
1. You think your AK is beat. You fold on the flop.
2a. You think your AK is good. You call flop and call him down on any non-scary turn and river cards.
2b. You think your AK is good. You 3-bet your hand on flop.
I would just like to make note of calling AK on the flop: By calling here on the flop out of position, you must decide whether you're going to play the AK BEYOND the turn. Being out of position, you should be fully aware of the fact that he may bet again on the turn. If you feel you are not willing to call a bet on the turn, you should probably muck it on the flop because a turn bet is going to be coming from villain 80% of the time (because I doubt he's drawing hence he'll want to extract value from his hand). While the idea of mucking AK to a minraise here sounds really gay (it is), you should realize the future implications of calling.
Anyway, villain has limped utg and is first to call your pf raise. Let's assume he plays AT+, all pps, and all suited connectors. If he is drawing, a min-raise here with an unknown opponent to act behind him on an ace-high flop is a dangerous move for him to consider: He's most likely to just call with a draw, to get the third guy involved and help build up a pot cheaply. He may be min-raising a set, AT, 9T, or AJ+. Looking at this range of hands he raises, we lose to 27 of them, beat 16 of them and tie with 6 of them. If you want to include all aces in his range, then be my guest: it makes the case for felting with AK stronger (as it stands with the range I assigned, folding is correct). How ever, ask yourself whether you think he's really going to be stupid enough to play A8 like this.
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