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Manfred comments on Two-boxing, smoking and chewing gum in Medical Newcomb problems - Less Wrong Discussion
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Under the formulation that leads to one-boxing here, TDT will be very similar to EDT whenever the evidence is about the unknown output of your agent's decision problem. They are both in some sense trying to "join the winning team" - EDT by expecting the winning-team action to make them have won, and TDT only in problems where what team you are on is identical to what action you take.