[EM] "Completion" & falsification
MIKE OSSIPOFF
nkklrp at hotmail.com
Tue Jan 20 21:18:02 PST 2004
Chris--
You said:
Let me try to restate some points more clearly. If there are three
candidates ABC and two voters
show up to vote, and both have A as their first preference and are
indifferent between B and C,
and one votes
[1]A
[ ]B
[ ]C
and the other votes
[1]A
[2]B
[2]C
then in my humble opinion, it is common-sense (and reasonable) for those two
voters to expect that
their votes would have the same effect ("be treated in the same way", as
Woodall puts it).
I reply:
They're both expressing exactly the same set of pairwise preferences. But
that isn't an example of "symetrical completion". Your "symetrical
completion" would have the A only voter voting AB and also voting AC.
Indicating two opposite preferences. One of those 2 opposite preferences is
an order-reversal, or else they're both falsified preferences. Falsified not
by the voter, but by you.
Any Condorcet version that I've heard of would count those 2 ballots as
voting the same pairwise preferences. That example isnt about the matter of
"symetirical completion".
You continued:
If the method allows equal early preferences, then it is unfair (and in my
opinion absurd and very
bad) that a faction of voters that all vote a set of candidates above all
other candidates should
be advantaged or disadvantaged (at least on average) by voting equal
preferences.
I reply:
It isn't at all clear what you're talking about. A guess would be that
you're implying that somehow a faction of voters that all vote a set of
candidates over all the other candidates is advantaged or disadvantaged if
their ballots aren't falsified by you. But maybe that isn't what you mean;
its only a guess.
You continue:
I think of this "Decisiveness Fairness Standard" as being linked (at least
in principle) to SC.
I reply:
You think that, but you give no explanation for why you think it, or why we
should agree with you.
Say a voter refuses to express a preference between X and Y. Anyone who says
that that voter is saying that s/he prefers X to Y, and that s/he also
prefers Y to X, must have their head all the way up their ass.
You aren't saying that are you?
And if you arren't saying that, then you admit that you're adding
preferences to his/her ballot that s/he didn't express. You're falsifying
those preferences. You're falsifying his/her ballot.
You continued:
MO:" If a ranking doesn't give support to a particular candidate, could it
be that the voter didn't
want to give support to that candidate?"
What exactly does "give support" mean? That phrase smacks of confusing
ranking with rating. Pure
ranking is not about "giving support" to candidates; it is only about voting
candidates over other
candidates.
I reply:
Alright, Chris has discovered that rankings indicate relative preferences.
Now, then, that being so, what kind of support do we give to a candidate if
we rank him/her over someone else? Yes, you've got it, Chris--that's
relative support. Support with respect to another candidate. Support in
comparison to another candidate. Very good, Chris.
You continued:
Therfore, assuming that you accept that a ranked candidate has been voted
over all the
unranked candidates, "not ranked" and "ranked equal last" is in effect the
same thing and therfore a
"symetrically completed" ballot has not in any meaningful sense been
"falsified".
I reply:
Whoa there, Cowboy, you're running away with yourself. To not rank certain
candidates, and to rank them all together in last place express exactly the
same pairwise preferences. To rank all the unranked candidates together in
last place is not "symetrical completion". "Symetrical completion" has the
voter making mutually contradictory statements about his/her preference
between the candidates.
If your proposed method, or Woodall's proposed methods, want to falsify
rankings, that's certainly your business, and I won't criticize you for it.
It's your method. But to say that your falsified rankings mean the same as
what the voter voted, to say that you haven't falsified the voter's
expression of preferences, that shows that someone is out-to-lunch.
Mike Ossipoff
Some Condorcet implementations require that all the candidates be ranked,
but allow equal ranking. When voting with those rules, of course I rank
together in last place the candidates that I don't want to rank.
Chris Benham
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