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AlexMennen comments on An Attempt at Preference Uncertainty Using VNM - Less Wrong Discussion
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You could use a geometric mean, although this might seem intuitively unsatisfactory in some cases.
Why would you use a geometric mean? It might make the problem go away, but why does it do that? what was the problem and why is a geometric mean the only solution?
I think it's a really bad strategy to respond to an apparent problem by just pulling ideas out of thin air until you find one who's flaws are non-obvious. It seems much more prudent to try to understand what the problem is and why it occurred, so that we can derive something that actually does the right thing. A problem is an indication that we don't understand what's going on, which should be a halt-and-rethink-everything moment.
I was just pointing out that it is a possible solution to the problem that Karl mentioned. I agree that it probably isn't a good solution overall. Maybe I shouldn't have brought it up.
The tone of my response was a bit hostile. Sorry about that. It was a general comment against doing things that way, which I've had nothing but trouble from. It was prompted by prompted by your comment, but not really a reply to your idea in particular.