Dear Forest: check http://www.rangevoting.org/DhillonM.html
I was never really able to fully understand this paper. You, having more motivation and/or ability, might be able+wanting to. Then you can explain it to us all. (Note, the paper pdf is linked to the bottom of that web page, so you do not have to go to a library.) It seems to do something like what you were asking for. It proves (or claims to - I'm a bit hesitant to endorse since I never fully understood) that "normalized range voting" is the unique voting method satisfying a set of Arrow-like criteria, including an IIAC idea quite like yours. -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step) and math.temple.edu/~wds/homepage/works.html ---- Election-Methods mailing list - see http://electorama.com/em for list info