2012/1/11 MIKE OSSIPOFF <[email protected]> > > Forest-- > > The Approval bad-example: > > 27: A>B > 24: B > 49: C > > B's negative score is 49, the number who rank C over B, and also the > number who don't rank B > > C's negative score is 51, the number who rank B over C, and also the > number who don't rank C > > A's negative score is 73, the number who don't rank A >
> B has the lowest negative score, and wins. > > You described a good, diplomatic way to avoid the ABE problem in high-res > Score Voting. Of course, in public elections, > that strategy could be implemented probabilistically in Approval. > > But that requires information about how many votes C will get. > > To me, an FBC/ABE method is one that automatically avoids the > co-operation/defection problem, > not requiring predictive information on the part of the A voters. > > What kinds of FBC/ABE methods are proposed so far? > > Three kinds: > > 1. MMPO and MDDTR: > > Advantages: > > Simple and brief definition. A voters can unilaterally establish coalition > defeat of C. > > Disadvantage: > > Criticizable by Mono-Add-Plump or Kevin's MMPO bad-example. Those > criticisms don't > describe genuine problems. They don't amount to strategy problems for > voters. They don't prevent the > electorate from getting changes that they want. But they could be used by > opposition to distract > voters from the important considerations. > > 2. Conditional methods such as MMT, GMAT, AOC, MTAOC, MCAOC, AOCBucklin, > AC, MTAC, MCAC > and ACBucklin: > > Advantages: > > Avoids criticisms of #1. Though MMT doesn't meet Mono-Add-Plump, that > criticism is > easily answered for MMT. The other conditional methods don't have even > that criticism, or the > Kevin's MMPO bad-example criticism eitiher. > > These methods are simple, and follow from Plurality and Approval in a > simple, obvious and natural > way. Their avoidance of the co-operation/defection problem, too, is > obvious, simple, natural and > straightforward, as is its motivation. > > These methods can be offered as _options_ in an Approval election. For > example, all of them other > than MMT and GMAT can be offered together as options in an Approval > election. > > For the methods other than MMT and GMAT, the conditionality can be > optional by candidate. > > Disadvantages: > > One disadvantage: Chris doesn't like them. > > Chris doesn't like them because he evidently doesn't like coalition or > conditionality (though any > method which, in the ABE, defeats C only if the B voters co-operate is > conditional too. > > The rule-explicitness of the conditional methods' conditionality is what > makes their avoidance of > the co-operation/defection problem simple, straightforward and natural. > > Chris doesn't like MMT because of its noncompliance with Mono-Add-Plump, > though that criticism is easily answered. > > 3. Methods using Kevin's tied-at-top comparison: > > Several have been suggested. No one has claimed that any of them have the > desired properties. > They're all speculative. > > Advantages: > > At least some of them elect A in the standard ABE. In other words, like > MMPO and MDDTR, the A > voters can defeat C by unilateral coalition support. They probably avoid > the criticisms that are > used against MMPO and MDDTR. > > Disadvantages: > > Too complicated and wordy of definition. > > They're only speculations, as of this time. > > I suggest that the conditional methods are the winners. > Again, you are leaving out delegated methods; that is, SODA. It's fine if you think that delegation is unacceptable, or for some other reason still think conditional methods are best; it is not OK to persistently ignore the reality that SODA handles FBC and ABE. In fact, for the chicken dilemma / ABE, SODA clearly gets better results than any of the other methods you've mentioned; that is, it solves the problem with less real-world risk of accidentally electing C. Jameson > > Mike Ossipoff > > > > > > ---- > Election-Methods mailing list - see http://electorama.com/em for list info > >
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