[EM] Re: fixing DMC page on electowiki

Russ Paielli 6049awj02 at sneakemail.com
Tue May 10 19:27:16 PDT 2005


Actually, I don't think I got that quite right, but I'm not feeling too 
well so I'll let someone correct it.

--Russ

Russ Paielli 6049awj02-at-sneakemail.com |EMlist| wrote:
> 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....
> 
> 
> Abd,
> 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.
> 
> --Russ
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