cousin_it comments on Formalizing Newcomb's - Less Wrong
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No God Almighty needed for your example, just an intelligence that's defined to be more powerful than you. If your computational capacity is bounded and the other player has much more, you certainly can't apply any perfectly rational decision concept. The problem is now about approximation. One approximation I've mentioned several times already is believing powerful agents with a 100% track record of truth. Sound reasonable? That's the level of discussion you get when you introduce bounds.