[EM] Ranked Rankings

[Forest Simmons]

Just as Borda is an attempt to quantify normal rankings, i.e. convert them
into ratings, so also we could attempt to convert ranked rankings into
ratings. If we did it correctly it would yield a  clone free method, unlike
Borda.

It would be a natural generalization of Dyadic Approval, if you remember
that from fifteen years ago.

El jue., 14 de oct. de 2021 1:24 a. m., robert bristow-johnson <
rbj at audioimagination.com> escribió:

>
>
> > On 10/13/2021 9:09 PM Forest Simmons <forest.simmons21 at gmail.com> wrote:
> >
> >
> > Just as rankings allow you to order preferences without specifying a
> numerical strength of preference, so ranked preferences allow one to order
> the preference strengths without quantifying those strengths numerically
> ... for example the notation
> > A>B>>>C>>D>>>>E
> >
> >
> > makes clear that the strongest preference shown is D>>>>E and the
> weakest is A>B, but the notation does not imply that the stronger of these
> is four times as strong as the weaker.
> >
>
> but it implies that it's stronger than B>>>C which is stronger than C>>D
> which is stronger than A>B .  Sure, maybe we can assign the strength of A>B
> as -inf, that of C>>D to be zero, B>>>C to be sqrt(pi) and D>>>>E to be
> +inf, but that wouldn't be particularly meaningful.  It **is** some
> quantitative information.  Not just preferential.
>
> --
>
> r b-j . _ . _ . _ . _ rbj at audioimagination.com
>
> "Imagination is more important than knowledge."
>
> .
> .
> .
> ----
> Election-Methods mailing list - see https://electorama.com/em for list
> info
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20211014/0426765f/attachment.html>