Re: The Monty Hall HU problem
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Against an opponent who will always bet, the optimal strategy would be to check-raise 100% of the time when your hand improves to what is likely the best hand, and also mix in a combination of check-raises and check-folds with hands that don't improve to make him indifferent from bluffing like this.
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what if he'll raise sometimes if we bet? shouldn't we mix in some bet-3bet? what if he'll fold a lot of we bet, but only raise middle pair or better? shouldn't we bluff some?
I think it's more complicated, even if we know he'll auto bet if we check.
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