[EM] FW: IRV Challenge - Press Announcement
Jonathan Lundell
jlundell at pobox.com
Wed Oct 8 15:32:59 PDT 2008
On Oct 8, 2008, at 2:28 AM, Markus Schulze wrote:
> Dear Jonathan Lundell,
>
> I wrote (7 Oct 2008):
>
>> Well, the second paper is more general. Here they use
>> Arrow's Theorem to argue why monotonicity has to be
>> sacrificed.
>
> You wrote (7 Oct 2008):
>
>> Or at least that something has to be sacrificed. Do
>> you see that as a problem?
>
> Well, monotonicity is actually not needed in Arrow's
> Theorem. Therefore, Arrow's Theorem is frequently
> stated as saying that no single-winner election
> method can satisfy (1) universal admissibility,
> (2) Pareto, (3) nondictatorship, and (4) independence
> from irrelevant alternatives.
>
> Therefore, using Arrow's Theorem to argue that
> monotonicity should be sacrificed to get
> compatibility with the other criteria seems
> to be odd.
>
> Markus Schulze
If I were writing the argument, I think I'd focus on manipulation
instead of Arrow per se, non-monotonicity being a manipulability
concern.
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