[EM] Median bifurcation using pairwise matrix
Roy
royone at yahoo.com
Tue Aug 14 08:57:48 PDT 2001
> FYI, I believe this procedure will give the same results as the
> procedure called Nanson
Actually, no. Using Forest's recent, very sticky example, we get a
Borda matrix of
A B C D X
A - 71 42 29 39
B 29 - 71 58 39
C 58 29 - 87 39
D 71 42 13 - 39
X 61 61 61 61 -
which yields, by Nanson, X>A>B>C>D because D is eliminated first
but by my proposed method, X>C>D>A>B because A, B and D are eliminated
(or grouped) together, then A and B are eliminated from that group.
(and by another grouping method I'm considering: X>B>C>D>A)
But when considering methods, you have to ask WWRPD (What Would Ranked
Pairs Do?)
The winning-margins matrix is:
A B C D X
A - 42 - - -
B - - 42 16 -
C 16 - - 74 -
D 42 - - - -
X 22 22 22 22 -
With all the duplicate values, I get confused. WWRPD?
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