Quote:
Originally Posted by SlavaGZ
Man, Its hard for my poor knowledge, but can you explain me why need use a mixed strategy¿ never listen this , What conditions need a spot for need use this¿ and the line options for use randomly depends Only on Board or in villain too¿
Against a perfectly balanced unexploitable opponent (e.g. a GTO bot), some hands maximise their EV by always betting (e.g. the "obvious" value bets and "obvious" bluffs") and some hands maximise EV by always checking (e.g. an "obvious" bluffcatcher, or an air combo that won't be profitable as a bluff), but
many hands (usually in the middle of your range) are "indifferent". They have the same EV whether you bet or check. Putting a combo into both ranges at the correct frequencies makes you unexploitable.
e.g. If you
always bet AK on T82, then villain knows you never have TPTK if you check the flop and the turn comes an ace or king. He could exploit that by bombing A/K turns and making you fold. By checking sometimes and betting sometimes, you can turn TPTK with either action sequence, and this makes you harder to play against and maximises the overall EV of your strategy. (You can make money by betting and you can make money by checking).
Against an exploitable (weak) opponent, there is less need to mix. It's unlikely that betting and checking have exactly the same EV if villain is himself unbalanced/exploitable. Against him, you should pick the option with the highest EV against him. But in cases where you're
not sure if betting or checking is best, you can flip a coin.
FWIW, I sometimes laugh at long hand history debates where someone will be adamant that betting is best, and another player will say "you have to check" and a big argument ensues. In such spots, it's often the case that
both people are correct, because GTO play features a LOT of mixing. With the
marginal spots, even if a pure strategy
is optimal in theory, it's usually the case that picking the "wrong" option only costs a tiny bit of EV, and the small EV loss gets lost in random variance. (e.g. some people run better than others with their low EV bluffs).
e.g. on T82, it's probably a mistake (that costs you significant EV) to check with red KK. So you should always bet with red kings (for value/protection). However, you won't cost yourself significant EV by checking (or betting) AK, because there's not much EV at stake in the first place. You're in the middle of your range, so both options are fine.
Last edited by ArtyMcFly; 10-05-2017 at 09:49 AM.