In Forest Simmons's system of Proportional Approval Voting each voter's
satisfaction score is based on the number of elected candidates they voted for
- 1 + 1/2 + 1/3 + ... + 1/n and the set of candidates giving the highest mean
satisfaction score wins. This could be changed to highest median. (Other
versions such as 1 + 1/3 + 1/5 etc can be used.)
As I think has been dicussed in this mailing list, this can be extended to
Range Voting by using harmonic numbers which give a continuous function for
summing reciprocals. If you gave three elected candidates 3/10, 4/10 and 9/10,
the number of elected candidates that you voted for would be considered to be
0.3+0.4+0.9=1.6. As before you could find the set of candidates with highest
median satisfaction score.
Toby
----
Election-Methods mailing list - see http://electorama.com/em for list info
