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Re: Borda count
Posted:
Nov 16, 2000 9:43 PM


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*, SpringerVerlag, New York, 1995, ISBN 0387943919. > > 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



