Revealing the Majority Winner
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Sat Nov 14 10:19:37 PST 1998
Mr. Ingles wrote in part-
How about this -- suppose we allow the voters to rate candidates on a
scale, rather than just rank them. Higher score means more highly
favored. The same election could come out a couple of different ways (I
hope you are using a fixed font):
Rating: 100 80 60 40 20 0
----------------------------------------
45 A B C
15 B C A
40 C B A
-or-
45 A B C
15 B C A
40 C B A
Neither IRO nor Condorcet can distinguish between the two cases.
I think it would be a mistake to pretend these voter preferences don't
exist, just because relative ranking doesn't measure them. After a
(ranked) Condorcet election where voters' real preferences are like the
second example, imagine the backlash when some enterprising pollster
reports that when asked to rate the candidates on a 100-point scale,
voters gave the winner a median rating of 10, while one of the losers
had a median score of 90! (Highest median score -- now there's a
method. :-)
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D- Another example of why I suggest a YES/NO vote on choices (along with
number votes). Scale rankings are +100 percent to -100 percent (or the more
common 100 to 0). A majority YES vote means a majority of the voters rank
the choice above zero (or the more common above 50).
Only B in the top example and C in the bottom example would appear to be
getting above 50 acceptability.
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