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username2 comments on Voiceofra is banned - Less Wrong Discussion
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Same technical solution I always offer: An upvote or downvote should add or subtract the number of bits of information conveyed by that vote, conditioned on the identity of the voter and the target.
In the simplest version, this would mean that if person X upvotes or downvotes everything written by person Y, those votes count for nothing. If X upvotes half of every comment by person Y, and never downvotes anything by Y, those votes count for nothing (if we assume X missed the comments he didn't vote on), or up to 1 bit (if we assume X saw all the other comments).
Better would be to use a model that blended X's voting pattern overall with X's voting on Y's posts and comments.
This doesn't work for new posters.
There no good reason for the votes of new posters to count much. If they don't there are less sockpuppet problems.
Why do you think that? When you have no prior, either assume P(up) = P(down), or (better) use the priors gotten by averaging all votes by all users. That's standard practice.