[EM] Re: Definition of fully voting one candidate over another
MIKE OSSIPOFF
nkklrp at hotmail.com
Mon May 31 15:48:02 PDT 2004
Kevin--
I'd said:
--- MIKE OSSIPOFF <nkklrp at hotmail.com> a écrit : >
>A voter fullly votes X over Y if s/he votes in such a way that if there
>were an even number of voters, and half of them voted in that way, it would
>be impossible for Y to be the unique winner, no matter how the other half
>vote.
[I accidentally omitted the clause "...if all the candidates but X & Y are
deleted from the ballots..."
You replied:
In any method where if one candidate is the favorite of >=50% of the voters,
no
other candidate can be the unique winner
, it is going to be the case that fully
voting X over Y implies fully voting every candidate over Y, even candidates
over
whom Y is fully voted.
For example, the ballot A>B>C fully votes B over C and also C over B.
I reply:
Good point--my initial definition doesn't work as intended. After I left the
computer yesterday, I realized that I'd forgotten to include the clause
"...if all the candidates but one are deleted from the ballots...".
You continued:
Maybe you mean that if Y is a non-unique winner, then X must also be one.
In
that case fully voting X over anyone means that X is the ballot's strict
favorite.
Maybe that is your intention?
I reply:
No, I just meant to stipulate that we delete everyone but X & Y from the
ballots, but forgot to include that clause.
Mike Ossipoff
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