On 1/30/11 2:39 PM, Paul Kislanko wrote:
Strike my previous reply... Didn't notice that #6 pairwise beat #1,
but pairwise lost to #2-#5.
Here's a case where I'd actually like to see instead of the pairwise
matrix the matrix that shows counts of votes for #1, #2, ... #5. In
particular, which is the Bucklin winner?
#6 loses or ties with every alternative except #1.
I've attached the ballots. Note that there were actually 15 candidates
in this election; I just showed the action for the top 6 in my earlier
mail. Each ballot is one row, and position x shows the ranking that the
voter assigned to candidate x. The listing uses the unranked numbers for
the candidates, so the top 6 candidates are not candidates 1-6. There is
also one more ballot in the listing below than for the matrix I sent
earlier, but the same relatively interesting situation still pertains.
-- Andrew
8,6,5,3,15,7,13,12,1,2,12,12,12,4,14
15,10,7,4,9,3,14,13,1,8,5,12,2,11,6
15,6,4,3,12,2,6,11,11,11,1,13,7,11,14
3,4,13,9,2,1,15,10,9,9,14,12,9,11,11
15,12,2,7,14,8,13,6,3,1,12,12,6,4,5
4,14,5,15,6,7,14,14,14,14,14,2,1,14,3
4,6,8,2,14,9,15,13,12,12,7,3,5,12,1
4,15,3,8,15,7,15,15,2,1,5,15,15,15,6
15,15,15,15,15,15,15,15,1,1,15,15,2,15,2
15,5,6,2,15,14,14,14,14,3,1,14,4,14,14
15,15,15,2,15,15,15,5,4,15,15,15,1,15,3
15,12,4,11,11,2,14,13,11,11,11,1,11,11,3
7,11,4,3,10,6,12,15,5,2,13,9,1,14,8
2,5,6,7,15,8,14,12,3,1,10,11,4,13,9
15,14,14,14,2,14,1,14,14,14,14,14,14,14,14
7,12,12,4,14,2,15,1,6,3,12,13,12,5,12
9,11,2,1,8,4,10,5,3,6,12,13,14,7,15
15,5,12,4,12,12,13,12,2,12,3,12,1,12,14
1,15,15,15,15,15,15,15,15,1,15,15,15,15,15
1,8,3,7,4,7,15,15,2,15,15,15,5,15,15
4,15,15,1,15,15,15,15,3,2,15,15,15,15,15
15,8,10,10,6,1,14,14,4,2,5,11,3,14,7
13,4,2,6,14,5,15,10,9,1,11,8,7,12,3
3,4,14,2,14,6,14,14,7,15,1,14,5,14,8
15,10,10,2,14,10,14,10,2,1,10,10,2,10,10
15,15,15,15,3,15,15,15,15,15,15,15,1,2,15
6,6,8,6,3,7,15,1,3,11,9,15,12,15,7
15,15,14,3,2,10,15,4,13,1,15,15,11,15,12
10,3,4,15,14,5,8,13,1,9,6,11,2,12,7
14,15,15,15,10,8,15,15,3,2,1,15,15,15,15
9,11,2,3,12,4,15,1,5,6,13,14,8,7,10
----
Election-Methods mailing list - see http://electorama.com/em for list info
