[EM] Meaning of "all-votes"

Rob LeGrand honky1998 at yahoo.com
Fri Apr 27 23:32:02 PDT 2001

Richard wrote:
> > And Dodgson(av), the best in SU, even fails Condorcet, just like most other
> > "all-votes" methods.
> I don't know what "all-votes" methods are. Could you define this term for
> me?

Sure.  Sorry about that.  It's what's called absolute votes in Norm Petry's
http://groups.yahoo.com/group/election-methods-list/message/4980 post. 
Basically the given method (beatpath, Tideman, Dodgson, etc.) is applied to the
pairwise vote matrix without calculating margins or dropping votes on the
losing sides to zero.  Example with 11 voters and three candidates:

votes: 2:B>C>A      pairwise matrix:   A B C
       3:A>B=C                       A   3 6
       3:A=B>C                       B 2   5
       3:C>A=B                       C 5 3

Dodgson(m) and Dodgson(wv) pick A, the Condorcet winner, but Dodgson(av) picks
B, as do beatpath(av) and minmax(av).

Rob LeGrand
honky98 at aggies.org

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