Re: Weakened sense in which Simmons IS cloneproof
- If you only clone a candidate ONCE (and not twice or more)
then Simmons is Cloneproof.
And Benham remarks (and I agree):
So Simmons meets Clone-Loser, but can fail Clone-Winner when there
are three or more factions
in a top cycle and the candidates in one of those factions are in a
sub-cycle. That is a very very mild
failure of Clone-Independence and arguably not a practical worry.
If that is the full extent of the bad news (and maybe even if it
isn't) then I think this method remains a
great contender (for "best practical Condorcet method") because of its
tremendous burial resistance
BUT I still am a bit worried about the possibility Simmons
could yield a tremendous number of tied-winners, many
with zero top-rank votes -- or near-zero in which case
the winner is selected by a very small set of voters.
(I don't know if that is a practical worry.)