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Molybdenumblue comments on Why We Can't Take Expected Value Estimates Literally (Even When They're Unbiased) - Less Wrong
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In more realistic circumstances, yes, I would most likely respond to someone attempting to extort trivial concessions with grandiose and/or incoherent threats by stalling for time and contacting the appropriate authorities.
But... isn't that what we're talking about? Did I miss some detail about the mugging that makes it impossible in real life, or something? In what way are the circumstances unrealistic?
Or do you mean you were just playing, and not seriously proposing this solution at all?
Scenarios involving arbitrarily powerful agents dicking around with us mere mortals in solvable ways always seem unrealistic to me.