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It certainly seems like a simple resolution exists...
As a rationalist, there should only ever be one choice you make. It should be the ideal choice. If you are a perfectly rational person, you will only ever make the ideal choice. You are certainly at least, deterministic. If you can make the ideal choice, so can someone else. That means, if someone knows your exact situation (trivial in the Newcomb paradox, as the super intelligent agent is causing your situation) then they can predict exactly what you will do, even without being perfectly rational themselves. If you know they are predicting you, and will act in a certain way accordingly, the rational solution is simply to follow through on whichever prediction is most profitable, as if they could actually see the future to make such a prediction correctly. Since you're deterministic, that you will do this is predictable, and thus, the prediction is self-fulfilling.