I would just like to point out that median rating is to range voting as
Bucklin is to Borda.
This was noted back in the days when we first considered Majority Choice
Approval (Bucklin based on CR ballots of resolution 3), and were exploring
to see if there might be any fruitful generalization
Dear Folks!
Let me summarize before giving a new argument in favor of the median:
After Mike brought up the term social utility and seemed to identify
it with sum of individual utilities, I wrote:
The median is a simpler, more accurate, and more robust measure
of social utility than the
Jobst Heitzig wrote:
Let me restate the problem I addressed by this: How can we answer the
question of how much a candidate is worth for society (=social
utility) by means of the answers the voters gave to the question of
how much that candidate is worth for them (=individual utility).
Maybe the
Ah. Good points, CF and Daniel. I guess I can see why the median rating
method isn't very popular. The non-independence of spoiled ballots and
Rob's bizarre example both seem like pretty major strikes against it.
Still might be fun to play with, though...
my best,
James
Election-methods
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
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
Fan de Condorcet wrote:
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
