Dear Warren, you wrote (24 Jan 2007):
> Theorem: > These criteria, for a single-winner voting system based on > pure-rank-order-ballots, are incompatible: > (...) > 6. adding a new candidate to the election whom all voters unanimously > rank unique-bottom, does not change the winner. > > (...) > > Remark 4. > Range voting obeys all 6 axioms if all range votes are > "normalized" so voters (obeying the recommendations for voting on the > http://rangevoting.org front page) always give the best candidate the > top score and the worst the bottom score in a 2-candidate election > [i.e. in practice with voters who are not idiots]. > > (...) > > So we have proven a sense in which range is superior to EVERY > pure-rank-ballot voting method, and using two of the most important > voting criteria AFB and ICC. When the votes are normalized, then range voting violates criterion 6. Markus Schulze ---- election-methods mailing list - see http://electorama.com/em for list info
