Some Betting Exercises vs. Short Stacks

[spoonitnow]

Exercise 1: Preflop, it folds to the small blind who had 15bb before he posted the blind and you have him covered. He open shoves {22+, K2+, A2+, QT+, JT}. What hands can you call with profitably in the big blind?

I'm going to solve a slightly different example to help those who are confused on how to do the actual solving part (the part that comes after you decide what you would do at the table).

Let's say that the guy's stack is 24bb and the range is {22+, Q2+, K2+, A2+} instead. After the SB shoves, we're calling 23bb to win 25bb. Our call is 23bb because we've already posted a big blind, and we're going to win 25bb because that's our opponent's entire stack that he's shoving plus our 1bb we've already posted into the pot. To break even, we need to have an equity of bet/(bet+pot) = 23/(23+25) = 0.479 = 47.9%. Now we just find what hands have 47.9% against {22+, Q2+, K2+, A2+} in PokerStove and we're done (you can do that part yourself).

[Zorkion]

I'm going to solve a slightly different example to help those who are confused on how to do the actual solving part (the part that comes after you decide what you would do at the table).

Let's say that the guy's stack is 24bb and the range is {22+, Q2+, K2+, A2+} instead. After the SB shoves, we're calling 23bb to win 25bb. Our call is 23bb because we've already posted a big blind, and we're going to win 25bb because that's our opponent's entire stack that he's shoving plus our 1bb we've already posted into the pot. To break even, we need to have an equity of bet/(bet+pot) = 23/(23+25) = 0.479 = 47.9%. Now we just find what hands have 47.9% against {22+, Q2+, K2+, A2+} in PokerStove and we're done (you can do that part yourself).

Hey, sorry to revive old threads, but I actually had a question on this. I understand why we need 47.9% equity, but my question here is how should we be designing our range to most effectively expolit this?

I was playing around with stove a bit, and if we just go range vs. range, it seems that we can build a whooole lot of different kinds of ranges that meet the 47.9% equity vs opp as a whole. eg, any broadway, any pair, any connector, and a couple mid 1-gappers for 49% equity, or a2+, k3+, q4+, j5+,22+ for ~49% equity again. if we wanted to, we could even throw in 27o into the latter range, and only have our equity drop to 48.7%

so my question is this, with this sort of info in mind, what kind of range should we be calling with? obviously on one hand, for the specific situation, it makes sense to play a bit tighter to increase our equity for the single hand, but would it also make sense to adjust our range according to the table dynamic, for example, adding some mediore/bad hands to our range in order to make our table image more fishy, and thus inspiring more action from other opps at table, while still maintaining a greater than 47.9% equity for the given hand?

and if so, how do we decide which bad/mediocre hands to add into our range in this situation?

or is this instead a case where we need to look at our equity by specific hand, and make sure that each one maintains the 47.9% we need, with less consideration given to our range as a whole?


sorry if this is somewhat donk logic, but im interested in hearing thoughts on this

[NightGizmo]

how should we be designing our range to most effectively expolit this?

You want to maximize your EV, not find a range that has 47.9% equity. If you call with a range that has 47.9% equity, then your long term EV will be 0 in that spot.

So knowing that you want to maximize EV, you simply create a range that includes all hands that have are +EV individually. That's it -- leave out all other hands that are not +EV.