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Definite Majority Choice: Difference between revisions
Moved ''least-approved'' definition to top of article
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'''Definite Majority Choice''' (DMC) is a [[voting method]] proposed by several (name suggested by [http://lists.electorama.com/pipermail/election-methods-electorama.com/2005-March/015164.html Forest Simmons]) to select a single winner using ballots that express both ranked preferences and approval.
:The Definite Majority Choice winner is the ''least approved'' candidate who is preferred pairwise over each ''higher-approved'' candidate.▼
If there is a candidate who is preferred over the other candidates,
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Jill (pairwise) defeats both of the remaining candidates, so Jill is the DMC winner.
Note that Jill is the lowest approval candidate that pairwise defeats each of the higher approved candidates. This property is obviously true of the [[Condorcet Criterion|Condorcet Winner]] when there is one, and completely determines the DMC winner, as well
▲:The Definite Majority Choice winner is the ''least approved'' candidate who is preferred pairwise over each ''higher-approved'' candidate.
At first blush "least approved" may sound bad, but if we did not use the least approved candidate with the "defeat all above" property, then there would be another candidate that defeated everybody "seeded" above our candidate while defeating our candidate, too.
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