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Cyan comments on My Fundamental Question About Omega - Less Wrong
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You don't need perfect prediction to develop an argument for one-boxing. If the predictor's probability of correct prediction is p and the utility of the contents of the one-box is k times the utility of the contents of the two-box, then the expected utility of one-boxing is greater than that of two-boxing if p is greater than (k + 1) / 2k.