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Newcomb's paradox 11 years ago

I guess this boils down to whether you believe in determinism.

If you do, then the predictor will always be right, and you have essentially zero chance of fooling it by "changing your mind" later for the extra money.

If you don't believe in such a thing, then theoretically some nondeterministic volition of yours could allow you to change your mind in a way that the predictor could not have deterministically forseen.