A plurality (or "relative majority") is the largest share of something, which may or may not be a majority. For example, if an election had three candidates, who received 40%, 25%, and 35% of the vote, the candidate with 40% would have a plurality, but not a majority. Plurality is one of the most ineffective ways of counting votes. It can lead to vote leeching and highly dispised leaders. Some elections or voting methods require merely a plurality, while others require a majority, using methods such as runoff voting or borda count if a majority is not produced.
A majority is a subset of a group that is more than half of the entire group.
In parliamentary procedure (the "rules of order" concerning the conduct of business in a deliberative body), the term 'majority' refers to "more than half." As it relates to a vote, a majority is more than half of the votes cast (noting that an abstention is simply the refusal to vote).
Double majority - a majority of votes in a majority of states.
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