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Thanks for the reply! What I don’t understand is how can Pio come up with a unexploitable/ balance/ +EV/ strategy even if we opening 100% of hand?
Given enough processing power, it can find the optimal strategy for any ranges whether they are super-tight or super wide.
e.g. If a villain's strategy is to only play AA and KK, you should (presumably) only play AA against him, because no other hand will win often enough to break even against such a strong range.
If villain is playing ATC then the "max EV" strategy against it would be to play about 50% of hands, since every hand in that 50% range will at least breakeven vs ATC.
(FWIW, a 49.32% range of 22+,A2s+,K2s+,Q2s+,J6s+,T7s+,98s,A2o+,K2o+,Q5o+,J8 o+,T9o contains every hand that has 50% or more equity vs ATC).
In real life, someone might open 15% UTG (6-max) and the BTN might only be able to profitably play 8% of hands against him.
In a HU game, the SB/BTN might open 90% of hands, and the BB defends about 50%. (I don't know the typical frequencies that HU experts play, but the strategy is somewhat akin to "defend about half as wide as the opener's range").
The point is,
whichever opening strategy is used, there will be a counter strategy that does best against it. If someone opens with a narrow range, only a small proportion of hands will be profitable against it. If someone opens wide, then a large proportion of hands will be +EV. Pio just crunches the numbers to find that equilbrium.
It's the same concept that you use when facing an open or a 3-bet. If a nit 3-bets you, you think "He's gonna have QQ+/AK a lot, so I should fold all of my weak hands as they won't make money vs the nit", but if an aggrotard 3-bets you, you think "He's so FOS that I can probably 4-bet AJ for value". If you tell Pio what villain's range is, it can calculate which hands will make money against it.