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hairyfigment comments on Newcomb's Problem and Regret of Rationality - Less Wrong
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That does indeed seem like the standard version of Newcomb's. (Though I don't understand your last sentence, assuming "non-negligible" does not mean 1/2 to the power of 100.)
Can you spell out what you mean by "if" in this context? Because a lot of us are explicitly talking about the best algorithm to program into an AI.