Weakened sense in which Simmons IS cloneproof

warren_d_smith31 wds at math.temple.edu
Sun, 31 Dec 2006 19:24:30 -0000

Previous message: Wait a minute - Simmons' "cloneproof" method is not really cloneproof!
Next message: Re: [RangeVoting] Forest Simmons new cloneproof simple Condorcet method
Messages sorted by: [ date ] [ thread ]

If we agree only to clone non-winners,
or if, when cloning a winner, all voters agree to rank the clones
EQUALLY, THEN Simmons is cloneproof.

Proof:
After cloning,
the A-beats-B relations are unaffected under these constraints,
and the number of top-rank-votes-against X are either unaltered -
or increased (increase is only possible for nonwinner X since
winning-X clones never pairwise-beat each other).
QED

However... this weakened kind of cloneproofness is a good
deal less impressive than genuine cloneproofness.

wds