A At 9:23 AM -0400 8/4/03, Stephane Rouillon wrote:
Alex Small a �crit :
> Approval Voting is not a ranked method.Can I please get some back-up here? Somebody, anybody, please back me up on this? I can't believe how difficult it is to drive home the point that
Approval is not a ranked method. It allows to represent preferential ballots that contain only one preference symbol: (A=B=C=...=D) > (E=F=G...=H) So Approval allows to represent equal rankings, but it does not allow to represent ballots containing many preference symbols (>).
Approval is a ranked method by Arrow's Axioms which only requires voters express their opinion on the comparison between candidates through the following relation:
For all x and y, either x R y or y R x
Now, since R can be either '=' or '>', Approval does not violate this. At best, it could probably be called a 'weak' ranked method, but a ranked method, nonetheless.
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