Warren wrote ... >Forest: >If I were a voter in this situation, my sincere rating for an alternative at distance x >would be > r=(D-x)/(D-d), >where D and d, respectively, are the distances to the respective alternatives furthest >and nearest to me.
--We are not speaking about sincere normalized ratings. We are speaking of utilities, which definitely are NOT to be normalized in this sort of fashion! Doing so would (a) be nuts for the purpose of getting reasonable bayesian regret values and also (b) would artificially cause normalized range voting to be a "perfect" voting method. Forest replies: It seems to me that sincere ratings and utilities should be related by affine transformations. If my utility function says that alternative Y is halfway between alternatives X and Z, then my sincere rating for Y should be halfway between my sincere ratings for X and Z. But you have proposed a utility function that is related non-linearly to ratings, (with or without the sqrt function). ---- Election-Methods mailing list - see http://electorama.com/em for list info
