FBC ambiguity
MIKE OSSIPOFF
nkklrp at hotmail.com
Sun Jan 6 22:58:38 PST 2002
My way of avoiding the problem of a method that requires a margin of victory
is
to say: "A voter, John, votes Smith over Jones if, by adding to the election
a group
of voters who vote the same as John, we can make it so that..."
I believe that a definition should be written for where it's used. For
instance, the
EM version of my definitions should be the versions that are most accepted
on EM,
provided that their results are acceptable to me also. A definition would be
of little
use if it weren't well-accepted where it's used. And so I adopt, for the EM
version
of voting Smith over Jones, the definition that speaks of counting only the
ballots of
John and the voters who vote the same as he does.
But I'd like to mention this:
My initial definition of voting Smith over Jones had the problem that it's
possible to
devise a method with which it's possible for a voter to vote Smith over
Jones and
Jones over Smith. But I claim that with that method, it isn't unreasonable
to say that
that voter is voting Smith over Jones & Jones over Smith. So I claim that
that's
a fair thing to say about that method, rather than an incorrect consequence
of the
definition.
Now maybe it's much more likely that that voter would be helping Jones
against Smith
than vice-versa, so it could be said that he's voting Jones over Smith more
than he's
voting Smith over Jones. But he's still voting each of them over the other.
I mean,
it's reasonable to say that, in addition to being what my definition says.
So, for the public-proposal-debate version of that definition, I keep the
wording that
_doesn't_ require that it _not_ be possible to contrive a configuration of
the other voters
such that if we delete everyone but Smith & Jones from the ballot, Jones is
the
unique winner if & only if we count the ballots of John & those who vote the
same as
him.
Then my public-proposal-debate version of FBC is saying that no one should
gain
by voting in a way that could make someone beat his favorite, if everyone
else
were deleted from the ballots. That's acceptable to me for the public debate
version.
Mike Ossipoff
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