[EM] Re: Approval/Condorcet Compromise
Russ Paielli
6049awj02 at sneakemail.com
Wed Mar 9 23:22:52 PST 2005
Ted Stern tedstern-at-mailinator.com |EMlist| wrote:
> On 9 Mar 2005 at 10:29 PST, Forest Simmons wrote:
>
>>Most of the proposed Approval/Condorcet Compromises assume that the CW is
>>more desirable than the Approval Winner when they are not the same
>>candidate, i.e. the Approval Winner is only to be considered when there is
>>no CW available.
>>
>>That seems to me like a kind of one sided approach to "compromise."
>
>
> Well, if one is a Condorcet advocate, one might view Approval as means toward
> the end (intuitively appealing cycle resolution), and not necessarily as an
> equally valid end.
That's right. I don't see the need for a compromise between Condorcet
and Approval. Condorcet is fine except that it needs a good way to break
out of cycles, and Approval is made to order for the job.
Perhaps I am fooling myself, but the more I think about the method I
proposed (or resurrected) for combining Condorcet and Approval, the more
it makes sense to me. Here's the method again for reference:
Each voter ranks the candidates and specifies an Approval cutoff. The CW
wins if one exists, otherwise the least-approved candidate is dropped
until a CW emerges.
The need for each voter to specify an Approval cutoff does complicate
the implementation a bit, but it also gives the voter a critical mode of
expression.
Think of the Approval counts for each candidate as filling in the unused
diagonal elements of the pairwise matrix. Whereas the off-diagonal
elements contain the scores for each pairwise race, the diagonal
elements contain the scores for each candidate vs. the "expected value"
of the election itself.
As I said before, this method is much simpler than traditional Condorcet
methods that drop defeats rather than candidates, and I believe it will
have a much better chance of being accepted for public elections. It may
still be too complicated, but at least it will have a better chance.
Methods that involve dropping candidates are too complicated and
arbitrary to be acceptable for major public elections for the
foreseeable future -- and then some.
--Russ
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