[EM] 2 questions on unanimity

Stephen Turner smturner0 at yahoo.es
Thu Oct 6 01:09:46 PDT 2005


I have two questions about unanimity, which could be
expressed thus: if all the ballots are identical a
copy of that ballot should be the result, perhaps with
a need to pick the top candidate(s) off it, or to
break a tie, afterwards.

First, is there any seriously-proposed deterministic
method that does not satisfy this?  All Condorcet
methods and all positional methods of course do
satisfy unanimity.

Second, given that the premise will never hold in
public elections, has there been any work on
more-likely-to-be-found Pareto-style variations like:
if X is 3rd on all ballots, then X should be: 3rd/no
higher than 3rd/no lower than 3rd?  

Of course such an X could be a Condorcet winner or
loser, but is there anything we could actually demand
of our methods for such an X?   Stephen


		
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