>So I suggest to measure social utility by the LOWER QUARTILE of the >individual utilities (= that utility value where one quarter of the >voters is below and three quarters of the voters are above). > >Perhaps this will even make CR a somewhat more strategy-resistant method >since we use a much more robust measure of social utility.
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? my best, James ---- Election-methods mailing list - see http://electorama.com/em for list info