[EM] Rob: Condorcet's Criterion vs FBC. Will people favorite-bury?

Rob Lanphier robla at robla.net
Mon Oct 3 21:31:10 PDT 2005


On Mon, 2005-10-03 at 23:24 -0400, Abd ulRahman Lomax wrote:
> At 04:30 AM 10/3/2005, Rob Lanphier wrote:
> >90 voters: A=7, B=6
> >10 voters: A=0, B=10
> 
> It has been proposed that Range votes be normalized, otherwise voters 
> who honestly recognize that no candidate is perfect and thus does not 
> rank at least one as a 10 will suffer vote dilution.

Hi Abd,

Normalization only works if there's not a third candidate forcing the
distortion (e.g. candidate "C"):

90 voters: A=10, B=9, C=0
10 voters: B=10, A=0, C=whatever

A: 900
B: 910

Once again B wins, but this time, the presence of information about C
prevents normalization.  In essence, normalized range violates the
Independence from Irrelevant Alternatives Criterion (IIAC).

Rob





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