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byrnema comments on Confusion about Newcomb is confusion about counterfactuals - Less Wrong
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Please respond to that part of my post. If you believe that the trustworthy bystander's advice will cause Joe to lose money, please explain how.
Edit: Assume that Omega has not scanned the brain of the trustworthy bystander, because the story does not describe him scanning it.
There are some simplifying assumptions you need to make for the problem to work. Joe is not allowed to use or be influenced by information Omega doesn't have, or else Omega can't make the prediction with accuracy.