Invulnerability to Mis-Estimate (was Re: precise definitions)
Steve Eppley
seppley at alumni.caltech.edu
Tue Jun 11 02:55:07 PDT 1996
Mike O wrote:
-snip-
>With Condorcet's method even if everyone includes an alternative
>that is not the Condorcet winner in their ranking, and no one
>includes in their ranking any alternative that they like less
>than it, that can't result in victory for that alternative
>if there's a Condorcet winner which is ranked over it by a
>majority.
>
>I call this property Invulnerability to Mis-Estimate. It's
>obviously important. Say there's a progressive candidate, like
>Nader, and say that, for some reason, he isn't getting good media
>coverage. Say that makes it look like Clinton is Condorcet winner,
>the candidate who is the best result that the progressives can
>get. So say the Nader voters consequently all include Clinton
>in their ranking, but those who prefer Clinton to Nader don't
>bother ranking Nader, since they are sure from the media that
>they don't need him. This can create a circular tie. With
>Copeland or Regular Champion that can give the election to
>Clinton. With Condorcet's method, either plain condorcet or
>Smith//Condorcet, that can't happen.
Is this the old 46/20/34 example? If so, then I think you wrote
Clinton above where you meant Dole (2nd to last sentence). But I
doubt that old example is what you intend here.
Whatever, I'm confused because this example is too incomplete to
illustrate the Invulnerability to M-E property. Who is the sincere
beats-all winner here? Nader? And Clinton is the alternative
mis-estimated to be the beats-all winner? I'm not sufficiently
fluent to be able to see the property in action without a more
complete example in front of me, showing numbers.
---Steve (Steve Eppley seppley at alumni.caltech.edu)
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