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Cyan comments on My Fundamental Question About Omega - Less Wrong
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My difficulty is in understanding why the concept of a perfect predictor is relevant to artificial intelligence.
Also, 2-boxing is indicated by inductive logic based on non-Omega situations. Given the special circumstances of Newcomb's problem, it would seem unwise to rely on that. Deductive logic leads to 1-boxing.
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.