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. 

  _____  

From: election-methods-boun...@lists.electorama.com
[mailto:election-methods-boun...@lists.electorama.com] On Behalf Of Andrew
Myers
Sent: Saturday, January 29, 2011 4:41 PM
To: Election Methods Mailing List
Subject: [EM] An interesting real election


Here is an unusual case from a real poll run recently by a group using CIVS.
Usually there is a Condorcet winner, but not this time. Who should win?

Ranked pairs says #1, and ranks the six choices as shown. It only has to
reverse one preference. Schulze says #2, because it beats #6 by 15-11, and
#6 beats #1 by 14-13. So #2 has a 14-13 beatpath vs. #1. Hill's method
("Condorcet-IRV") picks #6 as the winner.

-- Andrew


                 1.      2.      3.      4.      5.      6.     
1. 
                 -       13      15      17      16      13     
2. 
                 9       -       13      14      17      15     
3.               11      11      -       13      15      14     
4. 
                 9       10      10      -       14      13     
5. 
                 11      10      9       10      -       13     
6. 
                 14      11      11      13      10      -      
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