Hello,
I do not completely agree with Paul Kislanko analysis.
1/ The fact that there is 2 or more candidate has no importance, because at
no time you are asked to sort them to more than two classes. So there are the
candidates you like and the candidates you dislike, but at no time you have
David GLAUDE wrote:
>
> * Do you know of any other extremist party using that argument and
> making reference to Kenneth Arrow?
I don't know if I'd call the CVD an extremist party, but they're not
above the same rationalization:
http://www.fairvote.org/pr/perfectsystem.htm
The next-to-last pa
--- In [EMAIL PROTECTED], David GLAUDE
<[EMAIL PROTECTED]> wrote:
> [[Do you know that a multi-cultural society cannot be democratic?
> The Nobel Prize Kenneth Arrow mathematically showed, in 1952, that
there
> was no possible democracy via a voting system (theorem of
> impossibility), except if
Dear David,
you wrote (21 Nov 2003):
> [[Do you know that a multi-cultural society cannot be democratic?
> The Nobel Prize Kenneth Arrow mathematically showed, in 1952, that
> there was no possible democracy via a voting system (theorem of
> impossibility), except if the voters share the same cult
Dear Sampa,
The exact result is that when there are n alternatives there are at most
2^(n-1) ballots which can form a single-peaked set, and the proof is a
geometric argument using mathematical induction based on the number of
ways to draw the single-peaked schedules in an nxn array of lattice
On 2003-11-21, Alex Small uttered:
>Is this "single-peakedness" the same as saying all voters fall on a 1D
>ideological spectrum?
Basically yes.
>e.g. if all voters and candidates fit on the left-right spectrum, then all
>voters will have one of these preferences:
>
>Left>Middle>Right
>Right>Mid
On 2003-11-21, Joseph Malkevitch uttered:
>If one can order the alternatives being voted on (candidates) on a linear
>scale so that all of the alternatives are "single peaked" (using ordinal
>ranking ballots) then if there are an odd number of voters the Condorcet
>method will always choose a winn
I did not explain what I wanted very clearly in my haste. Single-peakedness is
a property of a collection of ballots with respect to an ordering of the
alternatives. (one plots the height of the alternative on the ballot against
the linear ordering getting a line or broken line segments what are si
Is this "single-peakedness" the same as saying all voters fall on a 1D
ideological spectrum?
e.g. if all voters and candidates fit on the left-right spectrum, then all
voters will have one of these preferences:
Left>Middle>Right
Right>Middle>Left
Middle>Left>Right
Middle>Right>Left
But if issue
If one can order the alternatives being voted on (candidates) on a linear
scale so that all of the alternatives are "single peaked" (using ordinal
ranking ballots) then if there are an odd number of voters the Condorcet
method will always choose a winner. (This result is due to Duncan Black.)
Being
On 2003-11-21, David GLAUDE uttered:
>[[Do you know that a multi-cultural society cannot be democratic? The
>Nobel Prize Kenneth Arrow mathematically showed, in 1952, that there was
>no possible democracy via a voting system (theorem of impossibility),
>except if the voters share the same culture
ee
http://almaz.com/nobel/economics/1972b.html
-Original Message-
From: David GLAUDE <[EMAIL PROTECTED]>
To: [EMAIL PROTECTED] <[EMAIL PROTECTED]>
Date: Thursday, November 20, 2003 6:54 PM
Subject: [EM] [OT] Kenneth Arrow theory... anyone?
Hello,
I am back to you with somethi
That's the first time I've ever heard such a misinterpretation of Arrow's
Theorem. It's amazing what things people will come up with.
Here's my more-or-less technical take on Arrow's Theorem. Many voting
paradoxes seem to boil down to Condorcet's paradox. I don't think I've
seen any proofs of
Hello,
I am back to you with something that could be out of topic...
A extreme right wing party (more likely racist) did produce a small text
reproduced below: (original in french first... then approximated
translation).
<
Le prix nobel Kenneth Arrow a démontré mathématiquement, en 1952, qu'il
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