Proposed Statutory Rules for DMC: Difference between revisions

→‎Article 3: handle approval tie conditions more carefully
imported>Araucaria
(Some rewording to answer questions from Dave Ketchum)
imported>Araucaria
(→‎Article 3: handle approval tie conditions more carefully)
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== Article 3 ==
# A candidate X has a ''pairwise win'' over candidate Y, and Y suffers a ''pairwise defeat'' by X, when X defeats Y in the pairwise contest between X and Y. A qualified or write-in candidate X is called the ''Instant Round Robin winner'' when X is not pairwise defeated by any other candidate. If there is an Instant Round Robin winner, then that candidate wins the election. A ''majority winner'' is a qualified or write-in candidate such that, on a majority of the valid ballots, this candidate is ranked above every other qualified or write-in candidate. The majority winner, if it exists, will always also be the Instant Round Robin winner.
# Suppose there is no Instant Round Robin winner. A candidate is ''definitively defeated'' if that candidate suffers a pairwise defeat from any other higher-approved candidate. When no Instant Round Robin winner exists, each candidate suffers at least one pairwise defeat from another candidate, and the least-approved candidate must therefore be definitively defeated. A candidate is ''eliminated'' from the race when that candidate is removed from the set of candidates eligible to win the election. The ''Definitive Majority Choice winner'' is that candidate who, after elimination of the least-approved candidate, is the Instant Round Robin winner among all candidates remaining. While there is no Definitive Majority Choice winner, the least-approved remaining candidate is eliminated from the race. As soon as a Definitive Majority Choice winner is created, that candidate wins the election. The majority winner or the Instant Round Robin winner, if either exists, will also always be the Definitive Majority Choice winner.
# Suppose that there is no Instant Round Robin winner,; that thean elimination stage of determining the Definitive Majority Choice winner cannot take place because two or more candidates are tied for lowest approval rating,; and there is no way to resolvethat the approval rating tie cannot be resolved using thestandard usualelection methodsrecount forprocedures resolving--- ties. Forfor example, some or all candidates may have received unanimous 100% approval or 0% approval. Then the approval tie will be resolved in favor of the candidate with the highest number of,
## If any of the tied least-approved candidates is pairwise defeated by another higher-approved candidate not tied for lowest approval rating, each such least-approved candidate shall be eliminated.
## total ballots ranking that candidate in first or second place.
## Otherwise, if there are only two tied least-approved candidates, and one pairwise defeats the other, the pairwise loser shall be eliminated.
## If equal, total ballots ranking that candidate in first, second and third place.
## Otherwise, eliminate the candidate with the lowest number of
## If equal, total ballots ranking that candidate above last place.
## If equal,# total ballots ranking that candidate in first or second place.
### If equal, total ballots ranking that candidate in first, second and third place.
### If equal, total ballots ranking that candidate above last place.
### If equal, total ballots ranking that candidate in first or second place.
 
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