[EM] (no subject)

[Eric Gorr]

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?
-- 
== Eric Gorr ========= http://www.ericgorr.net ========= ICQ:9293199 ===
"Therefore the considerations of the intelligent always include both
benefit and harm." - Sun Tzu
== Insults, like violence, are the last refuge of the incompetent... ===