Hey pasita,
I think we can prob keep it going in here, if mods have a problem they can shift it. I think its fascinating and be good to keep it all in one thread.
In order for SB to be cbetting 100% of flops, *in general* he needs to have some sort of overall equity edge over BB's range imo. In order to obtain the equity postflop, if playing optimally, we would have to play tighter preflop seeing as some flop texture will be harder to obtain that equity than others.
The benefits of being able to construct a balanced SB strategy postflop, is that it allows you to push for thinner value pf without having to cbet every single flop.
I did a quick bit of stoving to nail down what the what i consider to be a typical SB open range vs BB defending range, while removing hands that are generally 3b by BB
SB had a 66.5% opening range which i think is about perfect.
BB's range was 63.3% once you remove hands he would prob 3bet preflop.
You can obviously play around with these ranges but i think they are pretty fair for the purposes of this discussion.
You will notice that certain flop textures will minimise the equity of holding a slightly stronger pf range.
As the flop gets lower, SB's equity decreases until he is a slight dog. I think this equality of the equity as the flops alter, make having a checking range in the small blind part of an optimal strategy
Im not trying to sell this to anyone, just feel that its definately worth considering and and that having a "never do X" attitude is something that plagued me for years and cost me $$ for sure
For instance:
Ah7c3d board- SB has about 60% equity
Text results appended to pokerstove.txt
529,455,960 games 2.390 secs 221,529,690 games/sec
Board: Ah 7c 3d
Dead:
equity win tie pots won pots tied
Hand 0: 59.296% 58.00% 01.30% 307064743 6879225.50 { 22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 74s+, 63s+, 54s, 43s, A2o+, K2o+, Q6o+, J7o+, T7o+, 96o+, 85o+, 75o+ }
Hand 1: 40.704% 39.41% 01.30% 208632766 6879225.50 { A4s-A2s, K7s-K2s, Q8s-Q2s, J7s-J2s, T7s-T2s, 96s-92s, 85s-82s, 75s-72s, 62s+, 52s+, 42s+, 32s, A7o-A2o, K8o-K2o, Q8o-Q2o, J8o-J2o, T2o+, 94o+, 84o+, 74o+, 63o+, 53o+, 43o }
Hand 2) Kh Jd 9s
SB has 62% equity
Board: Kh Jd 9s
Dead:
equity win tie pots won pots tied
Hand 0: 62.387% 59.27% 03.12% 313290493 16497935.00 { 22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 74s+, 63s+, 54s, 43s, A2o+, K2o+, Q6o+, J7o+, T7o+, 96o+, 85o+, 75o+ }
Hand 1: 37.613% 34.49% 03.12% 182328097 16497935.00 { A4s-A2s, K7s-K2s, Q8s-Q2s, J7s-J2s, T7s-T2s, 96s-92s, 85s-82s, 75s-72s, 62s+, 52s+, 42s+, 32s, A7o-A2o, K8o-K2o, Q8o-Q2o, J8o-J2o, T2o+, 94o+, 84o+, 74o+, 63o+, 53o+, 43o }
Now if we start altering flop texture towards and lower and co-ordinated flop
Hand 3)
Tc 9h 8d- SB has 59% Equity
Board: Tc 9h 8d
Dead:
equity win tie pots won pots tied
Hand 0: 59.900% 56.39% 03.51% 300538457 18705685.50 { 22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 74s+, 63s+, 54s, 43s, A2o+, K2o+, Q6o+, J7o+, T7o+, 96o+, 85o+, 75o+ }
Hand 1: 40.100% 36.59% 03.51% 195010732 18705685.50 { A4s-A2s, K7s-K2s, Q8s-Q2s, J7s-J2s, T7s-T2s, 96s-92s, 85s-82s, 75s-72s, 62s+, 52s+, 42s+, 32s, A7o-A2o, K8o-K2o, Q8o-Q2o, J8o-J2o, T2o+, 94o+, 84o+, 74o+, 63o+, 53o+, 43o }
Hand 4)
7h 6d 5s- SB has 50% equity
517,253,220 games 2.363 secs 218,896,834 games/sec
Board: 7h 6d 5s
Dead:
equity win tie pots won pots tied
Hand 0: 50.066% 47.49% 02.57% 245669026 13299476.50 { 22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 74s+, 63s+, 54s, 43s, A2o+, K2o+, Q6o+, J7o+, T7o+, 96o+, 85o+, 75o+ }
Hand 1: 49.934% 47.36% 02.57% 244985241 13299476.50 { A4s-A2s, K7s-K2s, Q8s-Q2s, J7s-J2s, T7s-T2s, 96s-92s, 85s-82s, 75s-72s, 62s+, 52s+, 42s+, 32s, A7o-A2o, K8o-K2o, Q8o-Q2o, J8o-J2o, T2o+, 94o+, 84o+, 74o+, 63o+, 53o+, 43o }
Hand 5)
5h 4c 3d SB now has 47% equity and is a dog on the flop
537,940,260 games 2.435 secs 220,920,024 games/sec
Board: 5h 4c 3d
Dead:
equity win tie pots won pots tied
Hand 0: 47.478% 45.13% 02.35% 242771339 12631963.50 { 22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 92s+, 84s+, 74s+, 63s+, 54s, 43s, A2o+, K2o+, Q6o+, J7o+, T7o+, 96o+, 85o+, 75o+ }
Hand 1: 52.522% 50.17% 02.35% 269904994 12631963.50 { A4s-A2s, K7s-K2s, Q8s-Q2s, J7s-J2s, T7s-T2s, 96s-92s, 85s-82s, 75s-72s, 62s+, 52s+, 42s+, 32s, A7o-A2o, K8o-K2o, Q8o-Q2o, J8o-J2o, T2o+, 94o+, 84o+, 74o+, 63o+, 53o+, 43o }