Bayesian play is not necessarily optimal for imperfect information games. The reason is: You don't only need to play optimally with respect to the information you have observed, you also need to hide your own information and balance those two needs.
See the Deep Mind "Player of Games" paper from last year for an agent that takes a more game theoretic approach, which is probably needed for "simpler" games like Poker, that we can play to higher levels of accuracy: https://arxiv.org/pdf/2112.03178.pdf
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Bayesian play is not necessarily optimal for imperfect information games. The reason is: You don't only need to play optimally with respect to the information you have observed, you also need to hide your own information and balance those two needs.
See the Deep Mind "Player of Games" paper from last year for an agent that takes a more game theoretic approach, which is probably needed for "simpler" games like Poker, that we can play to higher levels of accuracy: https://arxiv.org/pdf/2112.03178.pdf