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Vladimir_Nesov comments on Counterfactual Mugging - Less Wrong
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It's an assumption of the thought experiment that the player justifiably learns about the situation after the coin is tossed, that they are dealing with Omega and not "anti-Omega" and somehow learn that to be the case.
In that case, it doesn't seem like there's any point in time where a decision to cooperate should have a positive expected utility.