Instant-runoff voting (IRV) is an electoral system that uses ranked voting. Its purpose is to elect the majority choice in single-member districts in which there are more than two candidates and thus help ensure majority rule. It is a single-winner version of single transferable voting. Formerly the term "instant-runoff voting" was used for what many people now call contingent voting or supplementary vote.
In the United States, IRV is commonly referred to as ranked-choice voting (RCV) (although there are other forms of ranked voting), and it is called preferential voting in Australia, where it has seen the widest adoption. In the United Kingdom, it is generally called alternative vote (AV), whereas in some other countries it is referred to as the single transferable vote, which usually refers to only its multi-winner variant. These names are often used inconsistently.
Voters in IRV elections rank the candidates in order of preference. Ballots are initially counted to establish the number of votes for each candidate. If a candidate has more than half of the first-choice votes, that candidate wins. If not, then the candidate with the fewest votes is eliminated, and the voters who selected that candidate as their first choice have their votes added to the total of the candidate who was their next choice. That process continues until one candidate has more than half of the votes, and that person is declared the winner. IRV is not a proportional voting system but a "winner-takes-all" method, because it results in only one winner in one district.
IRV is used in national elections in several countries. In Australia, it is used to elect members of the federal House of Representatives, as well as the lower houses in most states, and in some local government elections. It is the method used to elect the President of India, the President of Ireland, and (in a modified form) the National Parliament of Papua New Guinea. When STV is used in city elections, the mayor is often elected through IRV.
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The Droop quota is the quota most commonly used in elections held under the single transferable vote (STV) system. It is also sometimes used in elections held under the largest remainder method of party-list proportional representation (list PR). Any candidate that receives quota is declared elected. Under some STV systems, especially those of the full-preferential voting variant, often all the winners receive the quota, but in others, of the optional-preferential voting or semi-optional preferential voting variants, if is common for as many as three winners in a district to be elected with less than quota.
Coombs' method or the Coombs rule is a ranked voting system which uses a ballot counting method for ranked voting created by Clyde Coombs. The Coombs' method is the application of Coombs rule to single-winner elections, similarly to instant-runoff voting, it uses candidate elimination and redistribution of votes cast for that candidate until one candidate has a majority of votes. Each voter rank-orders all of the candidates on their ballot.
"One man, one vote", or "one person, one vote", expresses the principle of equal representation in voting. This slogan is used by advocates of democracy and political equality, especially with regard to electoral reforms like universal suffrage and proportional representation. The violation of equal representation in the various systems of proportional representation can be measured with the Loosemore–Hanby index, the Gallagher index, or the amount of wasted vote.
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