Raise Sizing From The Small Blind (Vs The BB)
Posted by AF3
Posted by
AF3
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Mid Stakes
Raise Sizing From The Small Blind (Vs The BB)
So, I was doing some work in Flopzilla on the best way to defend vs. 4X raises from the Small Blind when it's been folded around, and I came across the following problem:
Let r = % of time we realize our equity
If we set r = .85 and we also assume that the Small Blind opens 33.3%, then we must defends all hands with the following equity based on pot odds alone:
(3/8)/r = Equity Needed To Continue
(3/8)/.85 = .4411
So, pot odds tell us we should be calling all hands that have 44.11% equity or better against a fairly linear 33.3% opening range.
Game theory, however tells us that we need to be defending 1 - (3.5/5) = 30% of hands.
Thus, if we 3-bet our strongest hands and balance with "bluffs" at a 2:1 ratio, we need ~16% of total hands at minimum to call.
Running some equities against the SB Opening range in Equilab, though, I find that it's very difficult to find ~16% of total hands to call without taking a dip in either EV or playability. A hand like Q9o only has 41%.
Therefore, if we are going to play a raising range from the Small Blind vs. The Big Blind, is raising to 4X actually a pretty good play?
Loading 6 Comments...
Why 85% - when you are in position vs. wide range?
It's not a wide range from the Small blind if they're opening the range they should be. This is your calling range so it is more condensed (containing less very strong hands) while theirs is not. It's not that your range would realize 85% of it's equity, it's that some hands realize more and some hands realize less. According to Lefort (who introduced the variable r), you want to look at r for the hands at the cusp in order to make your decision on whether or not we have the odds to continue.
The selection I made for r is not iron-clad, but it seems a reasonable estimate for a hand like Q9o.
I know what "r" is ... yet a hand that has marginal equity does not mean that you have to realize even less.
And what is a "reasonable" opening-range from SB in your opinion?
I know what "r" is ... yet a hand that has marginal equity does not mean that you have to realize even less.
r < 1 ==> The equity you need to continue is greater than the equity needed to break even on your call if the hand went to showdown right there
I used a fairly linear range to between 33 and 35%. This all pairs, all broadways, all suited aces and kings, suited queens down to like Q4s, suited J's down to J5s etc., SC's down to 56s (might have been 54s) and the corresponding one-gappers, A9o-A7o, K9o-Q9o and so on.Maybe I´m not explaining myself correctly ... if you have a hand that has, say 38% equity against Villain´s range - and you got position, why do you think that you realize even less than those 38%? I don´t get it?
Because his range should be stronger than yours is. It's also less condensed than your calling range. The r of your hand should kind of depend on your hand. If you have 27o, you might have 30% but you're probably not realizing that 30%
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