[EM] Re: fixing DMC page on electowiki

Russ Paielli 6049awj02 at sneakemail.com
Tue May 10 19:23:24 PDT 2005

Abd ulRahman Lomax abd-at-lomaxdesign.com |EMlist| wrote:

> The whole page is not exactly a model of clarity, but I did think that I 
> understood what Definite Majority Choice meant. But here is how the text 
> in question reads now, having been changed back by Mr. Araucana:
>> >>        The least-approved candidate in the definite majority set
>> >>        pairwise defeats ''all'' higher-approved candidates, including
>> >>        all other members of the definite majority set, and is the DMC
>> >>        winner.
> So the least-approved candidate ... is the winner? Explain this thing to 
> me....

Yes, it is the true that the least-approved candidate of the *definite 
majority set* wins. However, explaining it that way is a prescription 
for confusion. A better way to explain it, I think, is that the 
least-approved candidate is eliminated until a Condorcet winner is found 
(a Condorcet winner is a candidate who beats each of the other 
candidates in a pairwise competition). That candidate will indeed be the 
least-approved of the *remaining* candidates. He wins, not because of 
that fact, but because of the fact that he is also the Condorcet winner 
of the *remaining* candidates. I hope that is clearer.


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