Originally posted by Kyyberi
If the SPR is lower, we need less equity on the flop. You can't just say that if the SPR is lower we need to fold. Cos when the SPR gets low enough (=stack sizes) it's even +EV to shove preflop.
Shove is better than fold only in really lower SPR's.
KKTTds vs AA** has around 40% equity.
So, if the SPR would be lower than 0,27 OTF (3$ effective stacks) the better play is to shove.
But between 0,27 and 0,85 the better play is to fold imo.
Let's see with SPR 0,5 (effective stack 3,86$):
1) if we shove:
EV (shove) = (eq vs AA * (pot - shove)) - ((1 - eq vs AA) * shove)=
= (0.40 * 7,72 - 3.28) - (0.60 * 3.28) =
= 1,776 - 1,968 = - 0,19$
2) if we call: (0.25 needed equity OTF)
EV (posflop)= %flops we call * ( total pot * avg equity % - flop call) =
= 0.528 * (7,72 * 0.59 - 1.93) =
= 1,385
EV (total) = EV (posflop - PF call = 1,385 - 1,35 = 0.035$
3) if we fold:
EV= 0
This result was unexpected to me, so I tried to see what happens on other SPR's.
- SPR 0,4 (effective stack 3,47$):
1) if we call: (0.22 needed equity OTF)
EV (posflop)= %flops we call * ( total pot * avg equity % - flop call) =
= 0.65 * (6,94 * 0.49 - 1,54) =
= 1,21$
EV (total) = EV (posflop - PF call = 1,21 - 1,35 = - 0.14$
2) if we fold:
EV= 0
- SPR 0,6 (effective stack 4,25$):
1) if we call: (0.27 needed equity OTF)
EV (posflop)= %flops we call * ( total pot * avg equity % - flop call) =
= 0.49 * (8,5 * 0.59 - 2,32) =
= 1,32$
EV (total) = EV (posflop - PF call = 1,32 - 1,35 = - 0,03$
2) if we fold:
EV= 0
- SPR 0,7 (effective stack 4,63$):
1) if we call: (0.29 needed equity OTF)
EV (posflop)= %flops we call * ( total pot * avg equity % - flop call) =
= 0.46 * (9,26 * 0.63 - 2,7) =
= 1,44$
EV (total) = EV (posflop - PF call = 1,44 - 1,35 = 0,07$
2) if we fold:
EV= 0
- SPR 0,9 (effective stack 5,40$):
1) if we call: (0.32 needed 1equity OTF)
EV (posflop)= %flops we call * ( total pot * avg equity % - flop call) =
= 0.45 * (10,80 * 0.63 - 3,47) =
= 1,50$
EV (total) = EV (posflop - PF call = 1,50 - 1,35 = 0,15$
2) if we fold:
EV= 0
- SPR 1 (effective stack 5,79$):
1) if we call: (0.33 needed equity OTF)
EV (posflop)= %flops we call * ( total pot * avg equity % - flop call) =
= 0.44 * (11,58 * 0.62 - 3,86) =
= 1,46$
EV (total) = EV (posflop - PF call = 1,46 - 1,35 = 0,09$
2) if we fold:
EV= 0
My conclusions:
- shove is only +EV if SPR < 0,27
- with SPR > 0,27 and < 1, the EV(call) doesn't have a linear behaviour
- it seems better to call with SPR > 0,7 and to fold with SPR between 0,27 - 0,7 (this isn't proved cause with SPR 0,5 the EV (call) ~ EV (fold) but with SPR 0,6 it's - EV to call)