Calling 4bets with this kind of hand is a topic I enjoy thinking about, as I do it a lot. In this specific case my guts tell me this is a must call as the 3bet is pretty large and the 4bet ridiculously small.
AXs is an interesting hand when it comes to calling 4bets because yeah okay our equity is always decent but whatever, most of all when we hit the case ace we're hardly ever gonna get bluffed off it. Several reasons, firstly, most of the bluffing range of our opponent is going to be Ax for starters. Secondly hands like JJ, QQ, KK he won't bluff with. Lastly even if he were to be 4b bluffing with, say, QJo, it's gonna be pretty rare that he tries to move us off our hand after we call on Axx. Happens, yes, but scarcely.
So we are indeed oftentimes dominated by AK, but it's actually pretty easy to call a bet once and fold to any further aggression if we don't improve by the turn.
With this thinking, and because arguing over nothing is pointless, I ran a simulation going by the following assumptions regarding postflop play. Feel free to correct them if you feel some are too far away from real play.
FLOP :
- Our opponent will Cbet 60$ if he hits TP or better or if he's unpaired. He will not be cbetting hands like QQ on Axx boards.
- We will call the flop with one pair hands and wheel draws. We will shove DP+, along with flushdraws and openenders. Our opponent will call TP+, flushdraw, openender, AK/AQ+gutshot
- If our opponent checks we will be betting 60 with TP or better, flushdraws, openenders.
- He will always call.
TURN :
- Our opponent will shove TP+, flushdraws, openenders, C/F the rest
- We will call if we improved to DP+, pair + FD, pair + openender, fold the rest
- We will bluffshove FDs, openenders, valueshove DP+, check the rest
- Our opponent will call turned TP+, 25% of the rest
RIVER :
If there has been a bet on one of the previous streets :
- We will valueshove DP+ and bluff 25% of the times we are unpaired
- Our opponent will call DP+ and 25% of the time when he has a middle pair (probably losing a ton of money in the process but well, people call at least that)
If there has been strictly no bet on the previous streets :
- We will never bluff and bet 60$ with TP or better
- Our opponent will always call
The sim isn't meant to be extremely precise but I think it's good enough to give a good account of what our ev will look like. Turns out against a range made of : AK, AQs, JJ+, no bluffs we get this :
http://pbrd.co/16E0rRN , +7$ in EV, which is in my opinion a great outcome for a call.
Not saying it HAS to be +ev, as some parameters might have eluded me (but to be honest if they have I still think the overall situation is +ev in game, because I have purposely set aside a few things that usually go our way but would give a much more complex and debatable sim). I simply wanted to show all those "lololforofl, you HAVE to fold !!" that it was a least closer than they would expect.
FWIW, remove JJ and AQs from our opponent's range and you still get +3$ in EV, leave them and add a few bluffs and you easily get to 10-15$ in EV. Haven't toyed with postflop adjustments, as it's much more time consuming.