dankane comments on Timeless Decision Theory: Problems I Can't Solve - Less Wrong
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I did not know about it, thanks for pointing it out. It's Simpson's paradox the decision theory problem.
On the other hand (ignoring issues of Omega using magic or time travel, or you making precommitments), isn't Newcomb's problem always like this in that there is no direct causal relationship between your decision and his prediction, just that they share some common causation.