[EM] (no subject)

Bart Ingles bartman at netgate.net
Sun Jul 13 21:32:03 PDT 2003

I think there have been several incarnations of Arrow's theorum.  The
original 1951 version used monotonicity, IIAC, non-imposition, and
non-dictatorship.  I think Alex is describing the 1963 version.  Both
are described in the 2nd edition of Arrow's "Social Choice and
Individual Values".  It's still in print, I found it on amazon.com.  


Eric Gorr wrote:
> At 5:27 PM -0700 7/13/03, Alex Small wrote:
> >Eric Gorr said:
> >>  Would it be accurate to say that you disagree with Arrow that a
> >>  voting system should be monotonic? (IRV is not)
> >
> >I don't recall monotonicity being one of the conditions of Arrow's
> >Theorem.  Maybe in some more elaborate forms it is, but the most basic
> >statement of Arrow's Theorem is that "when there are 3 or more candidates
> >no election method can simultaneously satisfy Pareto efficiency,
> >independence from irrelevant alternative candidates, and
> >non-dictatorship."
> >
> >Monotonicity is not on that list.
> Interesting. In every form of it I've seen, monotonicity has been apart of it.
> For example,
> http://www.wikipedia.org/wiki/Arrow%27s_impossibility_theorem
> http://c2.com/cgi/wiki?ArrowsTheorem
> http://www.csc.vill.edu/faculty/bartlow/html/mat1220/arrowthm.html
> http://www.icmsstephens.com/axiomatic.htm
> What is the source of your information?

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