Majority-preferred Candidate
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Majority-preferred Candidate
A Condorcet winner (, ) is a candidate who would receive the support of more than half of the electorate in a one-on-one race against any one of their opponents. Voting systems where a majority winner will always win are said to satisfy the Condorcet winner criterion. The Condorcet winner criterion extends the principle of majority rule to elections with multiple candidates. Named after Nicolas de Condorcet, it is also called a majority winner, a majority-preferred candidate, a beats-all winner, or tournament winner (by analogy with round-robin tournaments). A Condorcet winner may not necessarily always exist in a given electorate: it is possible to have a rock, paper, scissors-style cycle, when multiple candidates defeat each other (Rock < Paper < Scissors < Rock). This is called , and is analogous to the counterintuitive
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Majority
A majority is more than half of a total; however, the term is commonly used with other meanings, as explained in the "#Related terms, Related terms" section below. It is a subset of a Set (mathematics), set consisting of more than half of the set's elements. For example, if a group consists of 31 individuals, a majority would be 16 or more individuals, while having 15 or fewer individuals would not constitute a majority. A majority is different from, but often confused with, a Plurality (voting), plurality, which is a subset larger than any other subset but not necessarily more than half the set. See the "#Related terms, Related terms" section below for details. Majority vote In parliamentary procedure, a majority always means precisely "more than half". Other common definitions (e.g. the frequent 50%+1) may be misleading #Common errors, (see "Common errors" below). Depending on the parliamentary authority used, there may be a difference in the total that is used to calculat ...
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