[EM] Summed Ranks (SR)
stepjak at yahoo.fr
Sun Sep 18 19:31:53 PDT 2005
--- MIKE OSSIPOFF <nkklrp at hotmail.com> a écrit :
> Summed Ranks (SR):
> The winner is the candidate for whom the number of candidates ranked over
> him/her, summed over all the ballots, is the least.
This seems to have a clone-loser problem. If SR doesn't satisfy SDSC then
this would be very bad.
> SR meets FBC. SR is a simple rank method that meets FBC. I haven't studied
> it yet, and I don't know what other properties it has. It may have
> disadvantages that I don't know of. I like it because it's a simiple and
> completely ordinal rank method that meets FBC.
I guess you suppose that SR might be better than MMPO.
As far as rank methods, you could also use ER-Bucklin(whole) or one version
of Borda. Suppose the ballot is A=B>C=D=E>F>G.
ER-Bucklin(whole) counts this ballot towards A and B in round 1, CDE in round
3, F in round 6, G in round 7.
The FBC-friendly Borda variant counts 6 points to both A and B, 4 points to
each of CDE, 1 point to F, and zero to G.
ER-Bucklin(whole) also satisfies SDSC, but not SFC.
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