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Clippy comments on Newcomb's Problem: A problem for Causal Decision Theories - Less Wrong
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Does decision theory still matter in a world where there's an agent who's already predicted your choices? Once Omega exists, "decision" is the wrong word - it's really a discovery mechanism for your actions.
Decisions you make now are informative (in the information-theoretic sense) about your past.
Decisions you make now are informative about the past.