[EM] More Condorcet Flavored PR examples

[Elisabeth Varin/Stephane Rouillon]

Forest,

why not change the goal and elect A1, B1 and B2.
I, for one, would not mind electing the candidates I pick, even
if they do not belong to the same party... There can be good
applications of different political issues, and I do not want to
get stuck with the bad politicians that defend the good ideas
(according to me).

Steph.

Forest Simmons a écrit :

> More ruminations on this topic:
>
> Suppose that a voter ranks six candidates as follows in a three seat
> multiwinner race:
>
>                 A1>B1>B2>A2>A3>B3 .
>
> Which of the following two outcomes would this voter be most likely to
> prefer?
>
> (1) The A team {A1,A2,A3} wins.
>
> (2) The B team {B1,B2,B3} wins.
>
> Note that the B team median, B2, is preferred over the A team median,
> A2, but the average rank of the A team is ahead of the average rank of
> the B team, i.e. the A team's Borda Count his higher than the B team's.
>
> The voter's favorite is an A, and the last ranked candidate is a B.
>
> Of course, the answer would depend on the utilities as well as upon the
> order of the candidates.
>
> However, in the face of unknown utilities, our best guide to the highest
> average utility subset is the subset with the greatest Borda Count.  So I
> would have to guess that this voter would prefer the A team over the B
> team, if the ranking is sincere.
>
> On the other hand, the Condorcet spirit seems to dictate the choice of the
> higher median subset, since the one with the higher median has more
> pairwise wins (relative to the ballot).
>
> Shall we use a hybrid method?
>
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