[EM] ABucklin doesn't meet Mono-Add-Top or Participation, but meets Mono-Add-Plump. MDDTR and Mono-Add-Plump.
MIKE OSSIPOFF
nkklrp at hotmail.com
Tue Nov 15 12:50:33 PST 2011
> You continued:
>
> (Also it looks like you have
> some other method in mind
>
> [endquote]
>
> How so? As I said, I'm referring to MDDTR.
You replied:
Because in the description of your example you referred to information
that MDDTR
ignores:
> Say the method is MDDTR, and your favorite candidate is F. F doesn't
> have a winning approval (top + middle) score,
> because x has significantly more approvals.
[endquote] Ok yes, MDDTR doesn't count top + middle ratings. MDDTR counts top ratings. And, of course, contrary to what I said elsewhere in my posting,MDDTR elects the undisqualified candidate with the most top ratings, anddoesn't look at whether someone gets top rating from a majority. But those errors of mine don't affect my Mono-Add-Plump scenario. It's possiblefor your plump vote to take away x's majority defeat disqualification. Andif x, now undisqualified, has more top ratings than your favorite, thens/he might take the win from your favorite. How could x have moretop ratings than your favorite, and still have a majority defeat before you arrive tovote? Voters' don't agree on whom to top-rate, and no candidate has very many top ratings. A relatively large number of people have middle or top rated a few other candidates,but not x, making a bare majority pairwise defeat against x, which ceases to exist when you arrivewithout voting those other candidates over x. _That_ is my MDDTR Mono-Add-Plump scenario. But my point was that the difference betweenmy scenario, in which the newly-undisqualified candidate wins by beating your favorite bysome higher vote-total (top-ratings total); and your scenario in which s/he beats your favorite bybeing the only undisqualified candidate, is an insignificant difference. Either way, you made your favoritelose by voting that you're indifferent between everyone other than your favorite.
> But I'll post an example of that particular kind of Mono-Add-Plump
> failure within
> the next few days.
You replied:
I look forward to seeing it.
[endquote] Why?? As I said, I don't assert that MDDTR fails Mono-Add-Plump; I admit it. And I tell whyit isn't a genuine fault or wrong result. So, without knowing if I'm correct to do so, I'll concedethat MDDTR can't fail Mono-Add-Plump in any way other than the way in your example. By the way, I don't say that you're wrong, to value the criteria that you value. It's just thatI value only criteria that have signfificant practical importance. To me, this subject isn't an aesthetic art or aesthetic game. It'sabout practical improvement, solving serious practical problems of voting. With completely different goals and purposes, it's hardly surprising that we use different criteria, leading to preference for different methods. I fully admit that MDDTR, MDDA and MDD,ABucklin can look unaesthetic from the Plurality-accustomed point of view.Likewise MMPO and every method that meets Condorcet's Criterion (And no, I'm not saying that MMPO meets Condorcet's Criterion). So, MDDTR, MDDA, MDD,Bucklin and MMPO could be "controversial" because they differ too much from Plurality. Such objections canbe disposed of, as I have done in my previous postings. But nevertheless, maybe one woudln't want to have to give opponents theopportunity to use such distractions. For one thing, opponents have more money to make their arguments than proponents haveto answer the arguments. So maybe it would be better to not propose potentially controversial methods. That's why, when proposing voting reform to people lately, I've been proposing Approval, MCA, & MTA; and not MDDTRor MMPO. But I don't give up on MDDTR and MMPO. I merely would offer them when there's more time to discuss their differences fromPlurality. It would be necessary to establish that people consider their FBC, LNHa and CD compliance to be more important thantheir non-resemblence to Plurality, before making a public proposal about them. People would have to be willing to genuinelybreak with the Plurality voting system and its results. The Approval bad-example is a genuine problem, and one that can andshould be avoided if we're going to use a rank method (in which category I include 3-slot methods). Mike Ossipoff
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20111115/a971275d/attachment-0004.htm>
More information about the Election-Methods
mailing list