James,
You wrote:
Given sincere votes, this may be interesting, but if votes are not
necessarily sincere, it would be quite possible for all candidates to
receive a social utility of 0. That is, the lower quartile feature makes
the method into a kind of 3/4 supermajority method.
However, scoring candidates by the median rather than the mean might be an
improvement on standard cardinal ratings. Has this been discussed before?
Yes. I once happened to stumble across an archived message, originally
posted by Rob Lanphier, in which he suggested just this. It wasn't long
before he shot down his own idea in a follow-up message.
http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/1998-April/001603.html
http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/1998-April/001607.html
my best,
James
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