Jiro comments on Probabilities Small Enough To Ignore: An attack on Pascal's Mugging - Less Wrong Discussion
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According to common LessWrong ideas, lowering the probability based on the exceptionality of the promise would mean lowering it based on the Kolomogorov complexity of the promise.
If you do that, you won't lower the probability enough to defeat the mugging.
If you can lower the probability more than that, of course you can defeat the mugging.
If you do that, your decision system just breaks down, since the expectation over arbitrary integers with probabilities computer by Solomonoff induction is undefined. That's the reason why AIXI uses bounded rewards.