[EM] Majorities (was Re: Smith//PC , GSFC, & SDSC)

[MIKE OSSIPOFF]

I'd said:

>In general, any example that complies with the premise of a
>criterion, and in which the method being tested doesn't meet the
>requirement of the criterion will be sufficient to show that that
>method fails the criterion. Also, such an example is necessary to show
>that. In fact, that's what it takes to show that any method fails
>any criterion. For more detail, I refer you to the definitions of
>the criteria.
>
>----
>D- How many criterion (criteria) (such as Majority Rule) fail one or more
>method(s) ???

Every criterion does. A criterion that didn't fail any methods wouldn't
be of any use. It wouldn't tell us anything about methods' relative
merits.

>Which fails first - a criterion or a method ???

A method fails a criterion. That's what we're talking about.
A criterion doesn't fail (except if someone can show that it
doesn't do as claimed, or that it's inconsistent or ambiguous, etc.)

When we speak of a criterion failing a method, we mean that the
method fails the criterion. Just a different wording. It's like when
we speak of a teacher failing a student. We usually mean that the
teacher gave the student a failing grade. That's the sense in which
we speak of a criterion failing a method. Conceivably a teacher could
fail a student in a different sense: The teacher could fail to fulfil
his/her responsibility with regard to the student, could fail to teach
him/her or be there for him/her,etc. We do NOT intend that meaning
when we say that a criterion fails a method.


>One poll indicates -
>
>26 AB
>25 BA
>49 C
>
>100
>
>What is a poor minority C voter to do ???

Lose. But if you're a C voter, and you prefer B to A, and the
method is IRV, and, as above, C isn't expected to have a 1st choice
majority, and A & B prefer eachother to C, then we have the example
that I was describing to Jane Anderson. Note that some use this as
a pro-IRV example, when looking at it from the A & B side. But every
such example is an IRB badexample, when looked at from the other side.
It's an example where IRV makes people rank someone else over their
favorite.


>
>Another election poll indicates-
>
>35 DEF
>34 EFD
>31 FDE
>
>100
>
>Is a clone a choice that is beaten head to head by a majority ???

There are no clones in that example.

Clones are candidates who are adjacently-ranked by everyone.

Mike Ossipoff

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