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I apologize in advance that this post is slightly off topic, since the original post was on BvB countering of 3betting, but once i was mostly through writing this was when that dawned on me.
Cool thread, Jeffrey. When i first read Pelion's post i became curious to see how opening with a 4bet range would work out for me compared to my opening ranges unajusted.
I open ~34% of hands from the CO/BTN.
I open ~12% of hands from UTG/UTG +1
If villain 3bets 10% of his total hands and is a good player who is mostly 3betting my CO/BTN ranges, i am going to be losing a ton of value by reducing my opening range to 4-6% of hands, aren't i? It seems also that once this opponent had noticed i had tightened up, he would stop to 3bet me as light. I went ahead and ran some ranges anyways, because you may open with one of these hands and get 3bet by a light 3bettor at some point...
After some playing with pokerstove, i believe that against this "random" 3bet range, that my 4bet range below would be optimal based on size and equity advantage. The range below is 6% of total hands against villain's 3betting range of 10% of total hands.
Text results appended to pokerstove.txt
16,903,865,088 games 0.005 secs 3,380,773,017,600 games/sec
Board:
Dead:
equity win tie pots won pots tied
Hand 0: 57.251% 55.30% 01.95% 9348635296 329064158.00 { 99+, AQs+, KQs, AQo+, KQo }
Hand 1: 42.749% 40.80% 01.95% 6897101476 329064158.00 { 66+, AQs+, K6s-K2s, 97s+, 86s+, 75s+, 65s, AQo+ }
But the 3bet range that i posted above is i think a well balanced range, and IMO most players at 100NL don't 3bet a good range (K-10/A-7 type hands) for the limit they are playing at. So, for this next "stoving" i am going to assume the 3bettor is a 100NL regular who isn't very good at 3betting. The range i have given him is the top 10% of hands (a linear range).
Text results appended to pokerstove.txt
15,725,799,936 games 0.016 secs 982,862,496,000 games/sec
Board:
Dead:
equity win tie pots won pots tied
Hand 0: 43.549% 41.33% 02.21% 6500114796 348235834.00 { 77+, A9s+, KTs+, QTs+, AJo+, KQo }
Hand 1: 56.451% 54.24% 02.21% 8529213472 348235834.00 { 77+, AQs+, AQo+ }
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I again am 4betting 6% of total hands against this villain's 3betting range. Note this time we have more pocket pairs and less overcards, because our opponent is now opening a range that is including more middle Ace/King type hands.
One argument to my thoughts here is that we will have a difficult time determining which hands our opponents are 3betting us with. This is why i take detailed notes on what my opponents show down in RR pots. I highly recommend that other players at my limit start doing this. After a few weeks (15-40k hands), you will start to have a good idea of what the regulars are 3betting with and your can exploit them massively by 4betting a good range.
Well, in conclusion i feel that 4betting light is probably not the best line to take against a light 3bettor until you know what he is 3betting you with since if you 4bet a range that does not fare well against villain's 3bet range you are going to be losing a lot of value. Many of the earlier posts advise generally tightening up or making decisions on the flop, and i think with less information on your opponents this is the best idea. But i think 4betting a balanced range, with good information on your opponents 3bet range, is a powerful counter.
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