[EM] ranked pair method that resolves beat path ties.
Kristofer Munsterhjelm
km_elmet at lavabit.com
Mon Nov 28 00:12:02 PST 2011
robert bristow-johnson wrote:
> because *both* the winning votes is tied and the margins is tied. what
> else is there?
>
> i wonder if it would be better to first rank each pair according to
> Margins and then, in the case of tie of Margins, Winning Votes are used
> to break the tie to determine which pair result has priority over the
> other.
>
> for some reason, i like Margins because it is the product of the percent
> spread (which indicates how decisive a defeat is) times the number of
> voters participating (which indicates how important the pair election
> is). that product is a natural measure for how important and decisive a
> pairwise defeat is. Winning Votes, all by itself, should not be the
> sole (or primary in the present case) decider. what if there is a lot
> of voters, but the pair-election is close (say a defeat by 1 vote)?
> it's not a decisive defeat, but Winning Votes would say it is. i think
> Margins is more salient than Winning Votes.
Note, though, that methods that do Margins first may violate the
Plurality criterion. In other words, it may be the case that, in a
Margins election, a candidate wins when some other candidate has more
first place votes than the winner has any-place votes.
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