Quote:
Originally Posted by heehaww
Was coon74's post there the entire time? I read the thread yesterday (up to Didace's post and Natalino's reply) and I feel crazy for thinking the timestamp is way off. It's a pretty hard post to miss, being taller than my monitor and all.
OP made 2 threads - first in STT Strategy, then in Probability. I and CHUCKyaMUCK responded to the STT thread. Then the threads were merged.
In the hindsight, I should have given a more realistic example, with reasonably large blinds and antes (like 75/150) and accurate Nash equilibrium push/fold ranges; the equity calculation is done the same way there. I'll give such an example if anyone requests it, lol.
Quote:
Originally Posted by Natalino1978
My research is based on using risk dominance strategy on poker.
Risk dominance is only useful when there's more than one Nash equilibrium. In push-or-fold scenarios, it seems that there's usually 1 equilibrium, to which fictitious play converges quite fast. If we allow calls (limps) or small raises, fictitious play converges slowly, but I'm still not sure if there are ever 2 or more equilibria to select from.
Besides, when you study Nash equilibria, it's useless to consider hands played in real games - most of the real players deviate from Nash equilibria anyway; weak players deviate so much that, actually, it's more worthwhile to assign fixed strategies to all opponents on the basis of population tendencies found in real data (or, for strong regular players, basing on the results given by the commonly used calculators - Holdemresources and ICMizer), and calculate the optimal response to those strategies.
Even if you intend to create a new commercial calculator using risk dominance, it won't sell well in the first year because it will be not more useful for the real games than the current calculators are - most opponents will be playing either irrationally or according to the strategies advised by the current calculators, based on superficial assumptions about bet sizes, not according to the equilibria found by your new calculator. It will take long until most regular players adopt the new calculator, so you have to be patient.
Last edited by coon74; 04-18-2018 at 10:42 AM.