Pairwise Rating Differential Summation (PRaDS, for short, if it catches on)
For N choices keep a tally matrix which is N by N.
For each pair of choices in a rated vote:
If choice A is rated higher than choice B, add (A's rating minus B's rating) to the tally entry (A,B)
If choice B is rated higher than choice A, add (B's rating minus A's rating) to the tally entry (B,A)
After all votes have been tallied, if (A,B) is greater than (B,A) then A has 'defeated' B.
Examine all such relations and count up the defeats. The choice or choices with the fewest defeats win.
It's Condorcet but totally rating based. Condorcet could be derived from this by replacing the "(A's rating minus B's rating)" part with "1".
I'm not sure of all of the consequences of it, but I found the idea of it amusing so I wanted to share it with you all. I've also added it to the Elections Calculator:
http://bolson.org:8080/v/vote_form.html
Brian Olson http://bolson.org/ ---- Election-methods mailing list - see http://electorama.com/em for list info
