kokotajlod comments on New Pascal's Mugging idea for potential solution - Less Wrong Discussion
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Comments (18)
Again, thanks for this.
"The problem with your solution is that it's not complete in the formal sense: you can only say some things are better than other things if they strictly dominate them, but if neither strictly dominates the other you can't say anything."
As I said earlier, my solution is an argument that in every case there will be an action that strictly dominates all the others. (Or, weaker: that within the set of all hypotheses of probability less than some finite N, one action will strictly dominate all the others, and that this action will be the same action that is optimal in the most probable hypothesis.) I don't know if my argument is sound yet, but if it is, it avoids your objection, no?
I'd love to understand what you said about re-arranging terms, but I don't. Can you explain in more detail how you get from the first set of hypotheses/choices (which I understand) to the second?
I just moved the right hand side down by two spaces. The sum still stays the same, but the relative inequality flips.
Why would you think that? I don't really see where you argued for that, could you point me at the part of your comments that said that?