Hello, Everyone, I am Soda, and I have been studying GTO with solver for a week now.
After running 162 subset(BB vs BN), I basically understood the logic of flop betting, which is quit simple, the BN has strong range, so that BN can do a 33% pot size bet 100% of the time on most board (around 90 out of 163, I simply the action if there is no EV decrease).
And the way to figure out what board is good for BN's range(BN has range advantage) is also very simple, I just take a quick look at both position's range, and find out who has the most ace, king, queen, and so on. the tricky part is, this method only works on flop, since both position basically have the same amount of combos in total, the absolute amount of each card equal to the ratio of that card in the range. for example, if BN have 30 combos of aces, and BB have 15 combos of aces, and since both position have 100 combos in totally. we can say BN have range advantage on most ace board.
Btw, here is one of my theory/hypothesis, range/nuts advantage is not about who has more combos of certain card, but in whose range has higher percentage of that card.
and since after BN cbet 100% on most of the board, let just use any board that BN does cbet 100%. BN goes to flop with the same range as opening range. and BB would fold around 40-50% of the range, and goes to Flop with a selected/strong range.
let use A92 rainbow as a example, although BN has more aces combo than BB, BB's range has higher percentage of aces on the turn, therefore, if turn card is a Ace, the Ace actually favor BB's range more, and because of it, even BB check 100% of the time on turn, BN can only cbet around 25% of the time
In conclusion, although I dont know how can I know which player's range hold more percentage of certain card in secs, I believe it is the way to figure out whose range the turn card favors.
after knowing it, we can find out if the turn card makes BN more percentage of strong hands than BB, AKA nuts advantage(2 pair, set, straight, flush, full house), if so, BN can overbet the turn.
If the turn card favors BB's range, BN should check more, and only bet with its strong hands(strong one pair and better), mix with draws, and lowest EV air if needed)
If the turn card favors BN's overall range, like Ace on a J82 board. which gives BN range advantage. BN can do the same thing as it does on the flop, bet a very high frequency with smaller size, like 75%.
Also, I found another thing that seems very interesting to me. the more bluff BN has, the higher frequency BN can bet. for example, if BN only has gut shot as bluff, it will check a fair amount of top pair combos, and it overall betting frequency on the turn wouldn't be huge. but if BN has straight draws, flush draws, etc. then BN would bet most of its top pair, and most of the draws as well, and it makes the overall betting frequency very high.
PS: all of the theory is based on the premise that the Flop favors BN, and BN cbet the flop 100% of the time.