[EM] Condorcet-like Ratings-based System

[bql at bolson.org]

I was inspired by James Green-Armytage's attempts to graft rating 
information onto Condorcet, and I came up with this:

  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/