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Re: Borda count
Posted:
Nov 16, 2000 9:43 PM
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Lou,
Well, read it yourself. Here is the citation:
http://www.colorado.edu/education/DMP/voting_b.html
Guy
me wrote:
>
> Guy Brandenburg wrote:
>
> >
> > My souces for this lesson were, more or less, the COMAP book For All
> > Practical purposes, which is an interesting source of ideas; columns I
> > had read a long time ago in Scientific American by Martin Gardner and I
> > suspect others on Kenneth Arrow's apparent proof that the only type of
> > election procedure that actually follows a few apparently simple axioms
> > is a dictatorship; and a much more recent article on voting theory by a
> > person whose name I cannot recall right now because I forgot to bookmark
> > it and instead simply printed out and took to school. He contradicts
> > Arrow. I will attempt to find this citation on Monday.
>
> I went through Arrow's work not long ago. The original paper is quite hard to
> read, because Arrow uses terminology that is very unfamiliar to people whose
> mathematical background is more modern. A very readable modern work on the
> subject is Alan D. Taylor's book *Mathematics and Politics: Strategy, Voting,
> Power and Proof*, Springer-Verlag, New York, 1995, ISBN 0-387-94391-9.
>
> I doubt that the other author you mentioned contradicts Arrow, whose work seems
> correct to me. However, Arrow's Theorem depends on some carefully stated
> definitions, and it may be the case that the other author used somewhat
> different definitions which don't support Arrow's reasoning or his conclusions.
> --Lou Talman
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