Some correction:
I defined SRP as follows:
Definition: SHORT RANKED PAIRS (SRP)
Affirm the lexicographically maximal *short* acyclic subset of all defeats.
Def.: SHORT ACYCLIC SET OF DEFEATS
--
An acyclic set of defeats
At 8:03 PM -0800 11/15/04, Bart Ingles wrote:
What would be an example of a spoiler (ICC or other violation) which
is NOT an irrelevant alternative?
With IIA, the spoiler is a candidate that is either added or removed
from the ballots.
With ICC, the spoiler is among the ballots already.
This is an incredibly confusing statement. No one can be added or removed
from a ballot after the votes have been counted, so by this distinction
there is no such thing as an IIA spoiler.
More precisely, the adding and removing of an alternative is an alytical
trick that helps prove attributes of
At 3:14 PM -0600 11/16/04, Paul Kislanko wrote:
No one can be added or removed
from a ballot after the votes have been counted,
Sure one can...just do it and recalculate.
so by this distinction
there is no such thing as an IIA spoiler.
I believe there is.
Compute the winner.
Start removing
Eric Gorr replied to my questions:
At 3:14 PM -0600 11/16/04, Paul Kislanko wrote:
No one can be added or removed
from a ballot after the votes have been counted,
Sure one can...just do it and recalculate.
so by this distinction
there is no such thing as an IIA spoiler.
I believe
Eric Gorr asked a lot of questions
So, you now believe there is such a thing as an IIA spoiler?
I never said I didn't. I just said I couldn't get that there was from your
definition:
With IIA, the spoiler is a candidate that is either added or removed
from the ballots.
With ICC, the
I wish we had nice clean definitions of our favorite criteria that were
amenable to automatic checking. Then we just implement any new method in a
few lines of code, and run the checker. In most cases I believe the
computations could be completed in a few hours or a few days on any of our
In a method that mistreats clones, a clone is an irrelevant alternative.
Dropping a non-winning clone, allowing the other non-winning clone to win,
violates the desired independence of irrelevant alternatives.
Thus, everything that violates the clone criterion, violates independence
of
YES! That's what I didn't have the right words to say. ICC is a subset of
IIA is what I meant by ICC is a weaker formulation of IIA. Something can
satisfy ICC but not satisfy IIA.
The original question was how to define the word spoiler, and I've come to
the conclusion that it cannot be used at
This is in fact, one of the great questions of mathematical logic.
Unfortunately, 20 years before Arrow's theorem, there was Godel's Theorem,
which proves that such an axiom-checker is as impossible as squaring the
circle or simultaneously finding the position and momentum of an electron.
You
On Tue, 16 Nov 2004, Paul Kislanko wrote:
The original question was how to define the word spoiler, and I've come to
the conclusion that it cannot be used at all without some qualification. An
IRV-spoiler might be a clone or it might be an IA, and it can be one
without being both.
A spoiler is the
[EMAIL PROTECTED] wrote:
On Tue, 16 Nov 2004, Paul Kislanko wrote:
The original question was how to define the word spoiler, and I've
come to
the conclusion that it cannot be used at all without some
qualification. An
IRV-spoiler might be a clone or it might be an IA, and it can be one
without
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