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
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