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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