Choosers can select only box 2 or both box 1 and box 2. Box 1 has $1000. Box 2 has $1000000 if predictor predicts chooser will take box 2. Box 2 has $0 if predictor predicts chooser will take both boxes or choose randomly. Predictions have always been correct before. Using expected utility, take box 2, but, using dominance, take both boxes {Newcomb's paradox} {Newcomb paradox}.
Mathematical Sciences>Logic>Paradox
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Date Modified: 2022.0224