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gwern comments on Extreme risks: when not to use expected utility - Less Wrong
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Replace expected utility by expected utility minus some multiple of the standard deviation, making that "some multiple" go to zero for oft repeated situations.
The mugger won't be able to stand against that, as the standard deviation of his setup is huge.
That seems pretty arbitrary. You can make the mugging go away by simply penalizing his promise of n utils with a probability of 1/n (or less); but just making him go away is not a justification for such a procedure - what if you live in a universe where a eccentric god will give you that many utilons if you win his cosmic lottery?