Rob LeGrand wrote:
Kristofer Munsterhjelm wrote:
(On a related note, has anyone tried to use Range with LeGrand's
Equilibrium Average instead of plain average?)
I don't recommend using Equilibrium Average (which I usually call AAR
DSV, for Average-Approval-Rating DSV) to elect winner(s) from a finite
number of candidates. AAR DSV is nonmanipulable when selecting a single
outcome from a one-dimensional range, just as median (if implemented
carefully) is, but it is manipulable when used as a scoring function in
a way similar to how Balinski and Laraki proposed using median:
http://rangevoting.org/MedianVrange.html
You use movie site data for your AAR-DSV examples. Does AAR-DSV
manipulability mean that a movie site that uses it would face difficulty
telling users which movie is the most popular or highest rated? The
manipulability proofs wouldn't harm them as strongly (since very few
users rate all of the movies), but they would in principle remain,
unless I'm missing something...
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