[EM] Arrow's Theorem.
Eric Gorr
eric at ericgorr.net
Tue Jul 15 09:19:02 PDT 2003
At 11:04 AM -0500 7/15/03, Adam Tarr wrote:
>Eric Gorr wrote:
>
>>The point is that if Plurality is covered by Arrow's Theorem, then
>>so is Approval since if in an Approval election the voters only
>>vote for a single option, that election would be equivalent to a
>>Plurality election.
>
>It does not necessarily follow. The point is, the results of a
>plurality election can be _uniquely determined_ from a set of
>preference ballots. In contrast, a common criticism of approval is
>that the results cannot be derived from voters' preference orders.
And, in the case where the voters in an Approval election only vote
for a single option, the same would be true.
>>So, the question becomes, does Plurality fail Arrow's Theorem?
>>
>>I believe the answer to this question is 'Yes'.
>
>I agree with this.
Good...at least I can feel more confident on one point. :-)
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