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depends on the villian. if his 3 betting range is only AK AA KK, then we need to look at how he plays them. if he's going to stack off no matter what the board is, we can call with alot of hands since we actually have implied odds, not just hoping we do. and if he's willing to bluff AK on whiffed boards often we can call with those pocket pairs. otherwise it's pretty easy to just fold.
our equity with his range vs ours:
equity win tie pots won pots tied
Hand 0: 55.417% 47.24% 08.18% 747393744 129402402.00 { KK+, AKs, AKo }
Hand 1: 44.583% 36.40% 08.18% 575970348 129402402.00 { TT+, AKs, AKo }
if your opponent has a high c-bet %, then it's more profitable to call, as he'll be bluffing AK (and he's more likely to be holding AK than AA or KK)
the theory about 4 betting is based on the assumption that the 4bet will cause our opponent to make more mistakes. since he is 3 betting light, more of his range will consist of weaker holdings, and he will fold more of his range, or he will incorrectly call your 4 bet (assuming you have a tighter range). either way, you come out ahead. as for widening the range, yes you can do that. lets say your opponent 3 bets the top x% of his range. if you are 4 betting the top half of that range, no matter how big that number is, you are always going to have a stronger range than him, and so your 4 bet should be profitable.
if your opponent is 3 betting light, but calling/raising tight, then 4 betting wider would be profitable because your opponent would be folding more than calling/raising.
as for making your 3 bet calling range wider, that is up to you and how you feel playing out of position. most players choose not to do this, as they find it hard to do.
cliff notes: your reaction to a 3 bet should be based on your opponent's frequency of 3betting, and his post flop aggression
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