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PIO solver bet size question

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PIO solver bet size question

If you enter multiple bet sizes for the flop, is the size that PIO chooses the most often guaranteed to be the optimal size if you were to play a single bet size strategy (only out of the sizes you entered)? If that doesn't make sense here's an example. Say you enter 3 sizes, 33%, 66% and 100% and solve. Let's say pio chooses to bet 66% more often than the other two. Now say you only enter one size. If you entered 66% will this be guaranteed to return a higher EV (or pot share) than the other two? I've seen many coaches assume this and I'm not convinced it's the case. It make sense it'll be true often, but not all the time

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