Will theoretical GTO always mix when actions of same highest EV are possible?
For example:
For one hand hero can check, bet 1/3 and bet 3/4 for the same EV.
Will hero always use some frequency of each option in theoretical GTO, or not necesarily?
That's the question thanks.
I ask because it seems gto trainers can show mistakes of frequencies but not evs (plays that are not executed by GTO but don't loss EV against a GTO opponent).
So I wonder what does it mean in theoretical GTO, can these just be actions with same highest EV but just against a perfect opponent, which means playing them could cause an imbalance in our game to actually loss EV?
Or it's just actions we could take and still be in perfect equilibrium? If so, why would GTO not use them at some frequency?
Should a theoretical GTO aim at the maximum mixing possible? Does mixing the most adds EV to theoretical GTO?
It seems this could be the case given how complex strategies seems like doing better than simple in theory even if this is just by a little bit.
I'm a bit confussed here, hope anyone could clarify this to me.
Thanks in advanced!
2 Replies
I think I already got this, frequency mixtakes can be same EV as long as opponent doesn't adjust it's GTO strategy, then it can cost us EV.
And that should apply to frequencies outside the GTO options too.
Thanks
If you think about it, a hand having the exact same EV for 2 different actions is quite remarkable/unlikely, and yet it happens so often in a solver. Kind of an uncanny coincidence right?
Not really, the reason they're indifferent is because the opponent's strategy is constructed to make them indifferent.
Making a hand indifferent prevents it to take a pure action for the highest EV possible.
If a hand is taking an action at 100% frequency, it means that the opponent doesn't gain anything from making it indifferent or that he can't make it indifferent. Given that, it won't be indifferent, since indifference doesn't happen by sheer coincidence.
It can be really really really really close though.
