[EM] two more variations of MMPO
Chris Benham
chrisbenham at bigpond.com
Fri Jun 10 00:38:35 PDT 2005
Russ,
You wrote:
> I'd like to throw out a couple more ideas I've had for variations of
> MMPO. I'm not certain, but I think they might retain the key
> properties of MMPO.
>
> Suggestion 1: MMPO top-two pairwise runoff
>
> Find the top two MMPO candidates and select the one who wins the
> pairwise race between them. This method uses no Approval cutoff.
>
> Suggestion 2: MMPO/Approval runoff
>
> This method uses an Approval cutoff and is similar to the one I
> suggested a few days ago but a bit simpler. The Approval winner and
> the MMPO winner have a pairwise runoff to select the final winner.
>
> Comments?
Yes. Top-two runoff methods have ridiculous "turkey-raising" incentives.
> Could the Condorcet loser actually win?
Yes. MMPO has a "very mild" Condorcet Loser problem.
> I don't know off hand, but if so, that would be a serious blemish.
It also fails Mutual Majority, Smith(Net), the Plurality criterion and
Clone-Winner. FBC is very expensive.
> I'm not trying to spam the list, but I just thought of a more accurate
> analogy. As I said, MMPO is a bit like having a football season but
> not keeping track of who wins or loses any particular game. The
> championship then goes to the team whose maximum points against in any
> particular "game" is the lowest.
That is a much more accurate analogy. Except that the number of teams
in the competition is presumably fixed, so that clones aren't an issue,
its exactly like that.
> It just doesn't seem right.
Well, the combination of great simplicity, Smith(Gross), Later-no-Harm,
and Clone-Loser is attractive (to me). But if you don't buy it, then
keep supporting DMC and maybe
consider some CGTT methods.
Chris Benham
http://lists.electorama.com/pipermail/election-methods-electorama.com/2004-December/014303.html
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