That's a good point. Let me see if I understand the conclusion correctly:
I should consider that there is a opposing Pascal's Anti-Mugging for any Pascal's Mugging, and it seems reasonable that I don't have any reason to consider an Unknown Anti-Mugging more likely than a Unknown Mugging before someone tells me which is occurring.
Once the mugger asserts that there is a mugging, I can ask "What evidence can you show me that gives you reason to believe that the mugging scenario is more likely than the anti-mugging scenario?" If this is a fake mugging (which seems likely), he won't have any evidence he can show me, which means there is no reason to adjust the priors between the mugging and the anti-mugging so I can continue not worrying about the mugging.
If I understood you correctly, that sounds like a pretty good way of thinking about it that I hadn't thought of. If it sounds like I haven't gotten it, please explain in more detail.
Either way, thank you for the explanation!
So, this is correct enough, but I would recommend generalizing the principle.
The (nominally) interesting thing about Pascal's Mugging scenarios (and also about the original Pascal's Wager, which inspired them) is that we can posit hypothetical scenarios that involve utility shifts so vast that even if they are vanishingly unlikely scenarios, the result of multiplying the probability of the scenario by the magnitude of the utility shift should it come to pass is still substantial. This allows a decision system that operates based on the expected value of a ...
Often, there are questions you want to know the answers to. You want other people's opinions, because knowing the answer isn't worth the time you'd have to spend to find it, or you're unsure whether your answer is right.
LW seems like a good place to ask these questions because the people here are pretty rational. So, in this thread: You post a top-level comment with some question. Other people reply to your comment with their answers. You upvote answers that you agree with and questions whose answers you'd like to know.
A few (mostly obvious) guidelines:
For questions:
For answers:
This thread is primarily for getting the hivemind's opinions on things, not for debating probabilities of propositions. Debating is also okay, though, especially since it will help question-posters to make up their minds.
Don't be too squeamish about breaking the question-answer format.
This is a followup to my comment in the open thread.