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.
Bart 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? ---- Election-methods mailing list - see http://electorama.com/em for list info
