Kristofer:
A few methods that pass CD:
ICT
Symmetrical ICT
MMPO
MDDTR
A few methods that fail CD:
Beatpath, RP, Kemeny, VoteFair, MinMax(wv) and apparently all
traditional unimproved Condorcet versions.
Approval and Score don't pass CD either. But, as I said before, it's
so easy to automatically avoid the chicken dilemma nuisance with a
rank method that there's no excuse for a rank method to fail CD, and
so no rank method that fails CD should be considered.
You replied:
All of the methods above fail independence of clones.
[endquote]
So you're saying that Beatpath, RP, Kemeny, and VoteFair all fail
Independence of Clones?
(You said all of the methods above fail Independence of Clones.)
You continued:
Therefore, I
disagree that there is no excuse for a method to fail CD, unless you
can show that it's possible to construct a method that passes both clone
independence and CD.
[endquote]
Ok, you've answered a question that I asked last week: You've told of
a property that you regard as important enough to justify losing FBC
and CD.
That's a start.
The next step, of course, must be to tell _why_ Clone Independence is
that important. Tell us what majorly adverse societal consequences
would result from failure of Clone Independence.
And of course it would be necessary that the benefits of Clone
Independence remain available under the extreme and drastic
strategy-needs resulting from failure of FBC and CD.
I've said a lot here about the adverse societal results of failing FBC
and CD. But one obvious bad result is that, with the extreme and
drastic strategy-needs that I referred to above, that result from
failure of FBC and CD, then compliance with the Condorcet Criterion
doesn't mean anything.
One more thing about that: Though I'm not sure exactly what
Clone-Independence is, it seems to me that someone said that Approval
and Score pass Clone Independence.
Is a clone-set a set of candidates such that everyone who votes one of
them over someone votes all of them over hir, and everyone who votes
someone over one of them votes hir over all of them, and everyone who
votes someone equal to one of them votes hir equal to all of them?
And does Clone independence require that removing a non-winning member
of a clone-set from the ballots and the election, and then
re-counting, shouldn't change the matter of whether or not the winner
comes from that clone set?
What I've been saying is that the reason why there's no excuse for a
method to fail CD is because meeting CD is the only way to
significantly improve on Approval and Score. If Approval and Score
meet Clone Independence, then TUC's compliance with Clone-Independence
doesn't improve on Approval and Score at all.
So, if Approval and Score meet Clone-Independence, then
Clone-Independence can't be considered an advantage of traditional
unimproved Condorcet that improves on Approval and Score.
But you could still use Clone Independence to justify traditional
unimproved Condorcet's loss of FBC and CD, in a comparison with ICT.
(For a comparison with Symmetrical ICT, you'd have to add Zero-Info
Probabilistic LNHe (ZLNHe) to the list of things you'd give up for
Clone Independence.)
Do the FBC/CD methods lose something that Approval has, when they lose
Clone-Independence? All of the Condorcet methods lose something that
Approval has, when they lose Participation and Consistency.
You said:
As it stands, the CD methods and the wv/margins
methods are mutually Pareto-nondominated with respect to each other*.
[endquote]
Ok, you're saying that the traditional unimproved Condorcet methods
using wv or margins, and the FBC/CD methods don't dominate eachother
by desirable properties
Of course you're right, because so many criteria have been defined.
It's always possible to find a criterion that a method fails.
Typically, to gain something desirable, you trade something else that
sounds desirable.
(I'm going to abbreviate traditional unimproved Condorcet as TUC.)
But lets not imply that all criteria are equal, and that it's only
necessary to name a criterion that TUC(wv or margins) passes and the
FBC/CD methods fail, and then call it a stalemate, a draw, an
undecideable choice, a matter of subjective opinion. That won't do.
It depends on how important, how necessary, Clone-Independence can be
shown to be.
You've named a criterion that you consider more necessary than FBC and
CD. The next step is to tell in what way Clone-Independence is so
important and necessary.
You said:
(That is, assuming that ICT reduces to Condorcet//FPP if there are no
truncated votes nor equal-rank ones. If that is wrong, please tell me
what method ICT reduces to when all voters rank every candidate, ranking
nobody equal.)
[endquote]
If, in ICT, everyone ranks all the candidates, and no one equal-ranks,
then, unless I'm mistaken, the result would be the same as that of
TUC//FPP, as you said.
By the way, on a different subject, what if Symmetrical ICT's
bottom-end
