Quote:
Originally Posted by Flokati
First of all thanks for your answer!
One question for understanding: when i want to see the best Range-EV for the Button (=me), then i have to use the overall EV for IP and not for OOP, right?
Or must i compare both overall EV's from both players?
The easiest approach is to use OOP's EV, given that this is the entry decision for the entire tree. If you're looking for the best performance for IP, then you should simply look for the worst overall performance for OOP.
An exception to this approach is if OOP only bets (or checks) in his first decision. In this case IP's first decision is essentially an entry decision as well, and you can look at either OOP's EV or IP's EV.
Extensive calculation of IP's overall EV
It's also possible to extensively calculate IP's EV instead of using OOP's EV. For this, let's use the example below. Here IP has two first decisions, one with an EV of 12.67 and one with an EV of 17.89. The top line is reached in 35.9% of the cases, and the bottom line is reached in 64.1% of the cases. This makes IP's overall EV 35.9%*12.67+64.1%*17.89=16.01. This as opposed to OOP's overall EV, which is 13.99. And, as you may notice, the sum of IP's and OOP's EV is 16.01+13.99=30, which is exactly the pot.
This will always be the case when rake is 0. The sum of the overall EVs will always be the pot, given that this is what the players are fighting over. And as long as rake is 0, the EV for IP can quickly be calculated as being
pot - EVoop. So finding the minimum for OOP's EV will also mean having found the maximum for IP. Rake is not a huge factor here, so in all cases you may just as well strive to minimize OOP's EV when looking for the maximum for IP.
Quote:
Originally Posted by Flokati
Btw: i've made a test today: 3 solves with different betsizes (but same Ranges) for BTN vs BB at a A72 rainbow Flop:
1) 33% Betsize with overall EV 6,62 for the IP Player
2) 50% Betsize with overall EV 6,65 for the IP Player
3) 75% Betsize with overall EV 6,50 for the IP Player
=> i'm not sure but can this minimal differences be right?
Yes, as it turns out, there's almost no difference in performance between different bet sizes. No matter if you want to make tiny probe bets, or huge pot sized bets, it appears that there always exists a GTO strategy with a comparable performance. The same seems to apply to using multiple bet sizes; multiple bet sizes only perform marginally better as compared to using single bet sizes.
Last edited by scylla; 08-21-2018 at 05:28 PM.