[EM] James: Power truncation
Kevin Venzke
stepjak at yahoo.fr
Sat Jun 18 15:59:49 PDT 2005
Mike,
--- MIKE OSSIPOFF <nkklrp at hotmail.com> a écrit :
> With a pairwise-count method, when a voter chooses the power truncation
> option, that means that s/he wants, for any candidate s/he doesn't rank,
> that his/her ballot be counted as voting every one of the other candidates
> against that one.
>
> So every candidate s/he doesn't rank is treated as if it were last-ranked on
> his-her ballot, with all the others ranked over that candidate.
I think this makes it too dangerous to rank among acceptable candidates.
I suggest this instead:
Assume everyone uses power truncation (and why wouldn't they?). Elect the
candidate with the lowest "MMPO+PT score," which is equal to the greater of
the candidate's MMPO score, and the number of ballots on which he is not ranked
("disapproved," we could say).
So back to this scenario:
49 A
24 B
27 C>B
With your definition, assuming everyone uses power truncation, A wins and B
does the worst, if I'm not mistaken. (I posted this earlier.)
Using the "max(MMPO score,disapproval)" wording:
The MMPO scores are A 51, B 49, C 49. Disapproval is A 51, B 49, C 73.
Taking the max of these, the scores are A 51, B 49, C 73, so that B wins
decisively.
Kevin Venzke
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