--- On Sun, 18/1/09, Jonathan Lundell <jlund...@pobox.com> wrote: > On Jan 17, 2009, at 4:31 PM, Juho Laatu wrote: > > > The mail contained quite good > > definitions. > > > > I didn't however agree with the > > referenced part below. I think "sincere" > > and "zero-knowledge best strategic" > > ballot need not be the same. For example > > in Range(0,99) my sincere ballot could > > be A=50 B=51 but my best strategic vote > > would be A=0 B=99. Also other methods > > may have similarly small differences > > between "sincere" and "zero-knowledge > > best strategic" ballots. > > My argument is that the Range values (as well as the > Approval cutoff point) have meaning only within the method. > We know from your example how you rank A vs B, but the > actual values are uninterpreted except within the count. > > The term "sincere" is metaphorical at best, even > with linear ballots. What I'm arguing is that that > metaphor breaks down with non-linear methods, and the > appropriate generalization/abstraction of a sincere ballot > is a zero-knowledge ballot.
I don't quite see why ranking based methods (Range, Approval) would not follow the same principles/definitions as rating based methods. The sincere message of the voter was above that she only slightly prefers B over A but the strategic vote indicated that she finds B to be maximally better than A (or that in order to make B win she better vote this way). Juho > > > > > > > Juho > > > > > > --- On Sun, 18/1/09, Jonathan Lundell > <jlund...@pobox.com> wrote: > > > >> The generalization of a "sincere" ballot > then > >> becomes the zero-knowledge (of other voters' > behavior) > >> ballot, although we might still want to talk about > a > >> "sincere ordering" (that is, the sincere > linear > >> ballot) in trying to determine a "best > possible" > >> outcome. ---- Election-Methods mailing list - see http://electorama.com/em for list info