Stephen Turner wrote:
Hello. It's been quite a while since
I posted here. I have a question: does
anyone have any good pointers
to material on metrics on elections?
A "metric" is as usual, and an
"election" would be simply an
election profile, that is you have
some set S of permitted ballot types,
and so many ballots of type 1, so many of
type 2, ...
I'm not sure about election profiles, but when dealing with ranking,
there's the Kendall-tau (Bubble sort, Kemeny) distance. The distance
between two orderings (such as ranked ballots) is equal to the number of
pairs that these rank in different order.
Optimizing to find the social ordering that has the least total
Kendall-tau distance to all ballots in a profile makes Kemeny's method.
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