[EM] Scott Ritchie's FAVS criterion - uniquely favors range voting

[Scott Ritchie]

On Fri, 2006-12-15 at 15:08 -0500, Warren Smith wrote:
> About Scott Ritchie's "feel alike vote same FAVS" criterion
> that all members of a feel-alike group should want to vote the same.
> 
Wait, did you just come up with this acronym? I like it, in any case.

> CONCLUSION: so far, all the prototypical methods (Condorcet; Weighted Positional including
> Approval, Plurality, Borda; and IRV) have falsified FAVS in incomplete info scenarios.
> But RANGE VOTING obeys FAVS in both complete & incomplete info scenarios.
> Proof:  suppose I lied.  Then just take the vector-average of all the
> votes in your "optimal" group-strategy, and cast them. Q.E.D.
> 
> So once again this is a property of range voting that no voting method based on
> discrete votes can match.
> 
Well, not exactly - Range Voting given a sufficiently wide range
satisfies this.  We could still have rounding error issues due to it
being impossible to, say, cast a fractional range ballot unless you had
a group of people do it.

So, my question: what actually satisfies this, other than range with
continuous ratings?

Thanks,
Scott Ritchie