Plurality (voting)

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Pie charts illustrating the difference between a mere plurality (where the green/bottom area is less than 50% of the total area) and a majority (where the green/bottom area is greater than 50% of the total area of the pie chart). Plurality versus Majority.png
Pie charts illustrating the difference between a mere plurality (where the green/bottom area is less than 50% of the total area) and a majority (where the green/bottom area is greater than 50% of the total area of the pie chart).

A plurality vote (in North American English) or relative majority (in British English) [1] describes the circumstance when a party, candidate, or proposition polls more votes than any other but does not receive more than half of all votes cast. [2]

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For example, if from 100 votes that were cast, 45 were for Candidate A, 30 were for Candidate B and 25 were for Candidate C, then Candidate A received a plurality of votes but not a majority. In some votes, the winning candidate or proposition may have only a plurality, depending on the rules of the organization holding the vote. [3]

Versus majority

In international institutional law, a "Simple Majority" (also a "plurality") is the highest number of votes cast (disregarding abstentions) among alternatives. However, in many jurisdictions, a simple majority is a stronger requirement than plurality (yet weaker than "absolute majority") in that more votes than half cast, excluding abstentions, are required.

An "Absolute Majority" (also a "majority") is a number of votes "greater than the number of votes that possibly can be obtained at the same time for any other solution", [note 1] when voting for multiple alternatives at a time. [4] [note 2]

A "Qualified Majority" (also a "supermajority") is a number of votes above a specified percentage (e.g. two-thirds); a "relative majority" (also a "plurality") is the number of votes obtained that is greater than any other option.

Henry Watson Fowler suggested that the American terms "plurality" and "majority" offer single-word alternatives for the corresponding two-word terms in British English, "relative majority" and "absolute majority", and that in British English "majority" is sometimes understood to mean "receiving the most votes" and can therefore be confused with "plurality". [1] [note 3] William Poundstone observes that systems which allow choosing by a plurality of votes are more vulnerable to the spoiler effect—where two or more similar choices each draw fewer votes than a dissimilar choice that would have lost to any individual similar choice on its own—than systems which require a majority. [5]

See also

Notes

  1. For example, 50 voters elect six office holders from a field of 11 candidates, thereby casting 300 votes. The largest absolute majority in this scenario would be 50 voters casting all their ballots for the same six candidates, which at 300 votes would be substantially higher than the simple majority of 151 votes—a result that no individual candidate can achieve, since the most votes any one can receive is 50. With the smallest absolute majority in this scenario, the six winners would receive 28 votes each, totaling 168, and the runners-up would receive either 27 or 26 votes each.
  2. An "absolute majority" can also mean a "majority of the entire membership", a voting basis that requires that more than half of all the members of a body (including those absent and those present but not voting) to vote in favour of a proposition in order for it to be passed.
  3. "With three-cornered contests as common as they now are, we may have occasion to find a convenient single word for what we used to call an absolute majority... In America the word majority itself has that meaning while a poll greater than that of any other candidate, but less than half the votes cast is called a plurality. It might be useful to borrow this distinction..." —Henry Watson Fowler

Related Research Articles

Plurality voting refers to electoral systems in which a candidate who polls more than any other is elected. In systems based on single-member districts, it elects just one member per district and may also be referred to as first-past-the-post (FPTP), single-member plurality (SMP/SMDP), or single-choice (choose-one) voting. A system that elects multiple winners elected at once with the plurality rule and where each voter casts multiple X votes in a multi-seat district is referred to as plurality block voting. A semi-proportional system that elects multiple winners elected at once with the plurality rule and where each voter casts just one vote in a multi-seat district is known as single non-transferable voting.

<span class="mw-page-title-main">Two-round system</span> Voting system

The two-round system (TRS), also known as runoff voting, second ballot, or ballotage, is a voting method used to elect a single candidate, where voters cast a single vote for their preferred candidate. It generally ensures a majoritarian result, not a simple-plurality result as under first past the post. Under the two-round election system, the election process usually proceeds to a second round only if in the first round no candidate received an absolute majority of votes cast, or some other lower prescribed percentage. Under the two-round system, usually only the two candidates who received the most votes in the first round, or only those candidates who received above a prescribed proportion of the votes, are candidates in the second round. Other candidates are excluded from the second round.

<span class="mw-page-title-main">Single transferable vote</span> Proportional representation ranked voting system

The single transferable vote (STV), sometimes known as proportional ranked choice voting (P-RCV), is a multi-winner electoral system in which each voter casts a single vote in the form of a ranked-choice ballot. Voters have the option to rank candidates, and their vote may be transferred according to alternate preferences if their preferred candidate is eliminated or elected with surplus votes, so that their vote is used to elect someone they prefer over others in the running. STV aims to approach proportional representation based on votes cast in the district where it is used, so that each vote is worth about the same as another. Formally, STV satisfies a fairness criterion known as proportionality for solid coalitions.

<span class="mw-page-title-main">Voting</span> Method to make collective decisions

Voting is a method by which a group, such as a meeting or an electorate, convenes together for the purpose of making a collective decision or expressing an opinion usually following discussions, debates or election campaigns. Democracies elect holders of high office by voting. Residents of a jurisdiction represented by an elected official are called "constituents", and the constituents who choose to cast a ballot for their chosen candidate are called "voters." There are different systems for collecting votes, but while many of the systems used in decision-making can also be used as electoral systems, any which cater to proportional representation can only be used in elections.

Coombs' method or the Coombs rule is a ranked voting system which uses a ballot counting method for ranked voting created by Clyde Coombs. Coombs' method can be thought of as a cross between instant-runoff voting and anti-plurality voting.

Block voting, also known as bloc voting, refers to certain electoral systems where multiple candidates are elected simultaneously. They do not guarantee minority representation and allow a group of voters to ensure that only their preferred candidates are elected. In these systems, a voter can select as many candidates as there are open seats. That is, the voter has as many votes to cast as the number of seats to fill. The block voting systems are among various election systems available for use in multi-member districts where the voting system allows for the selection of multiple winners at once.

A majority is more than half the total. It is a subset of a 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. "Majority" can be used to specify the voting requirement, as in a majority vote, which means more votes in favor than against. However, an absolute majority requires more than half all votes including ballots of abstention.

<span class="mw-page-title-main">Council of States (Switzerland)</span> Upper house of the Federal Assembly of Switzerland

The Council of States is the upper house of the Federal Assembly, and the lower house being the National Council. It comprises 46 members.

A supermajority is a requirement for a proposal to gain a specified level of support which is greater than the threshold of more than one-half used for a simple majority. Supermajority rules in a democracy can help to prevent a majority from eroding fundamental rights of a minority, but they can also hamper efforts to respond to problems and encourage corrupt compromises at times when action is taken. Changes to constitutions, especially those with entrenched clauses, commonly require supermajority support in a legislature. Parliamentary procedure requires that any action of a deliberative assembly that may alter the rights of a minority have a supermajority requirement, such as a two-thirds vote. In consensus democracy the supermajority rule is applied in most cases.

Majority rule is the principle that a group which has more than half of all voters should be allowed to make the decisions for a group. Majority rule is the binary decision rule most often used in decision-making bodies, including many legislatures of democratic nations. Where no one party wins a majority of the seats in a legislature, the majority of legislators that wields power is partly composed of members of other parties in support.

The majority criterion is a voting system criterion. The criterion states that "if only one candidate is ranked first by a majority of voters, then that candidate must win."

The exhaustive ballot is a voting system used to elect a single winner. Under the exhaustive ballot the elector casts a single vote for their chosen candidate. However, if no candidate is supported by an overall majority of votes then the candidate with the fewest votes is eliminated and a further round of voting occurs. This process is repeated for as many rounds as necessary until one candidate has a majority.

<span class="mw-page-title-main">Contingent vote</span> Single-winner ranked-choice electoral system

The contingent vote is an electoral system used to elect a single representative in which a candidate requires a majority of votes to win. It is a form of preferential voting. The voter ranks the candidates in order of preference, and when the votes are counted, the first preference votes only are counted. If no candidate has a majority of the votes cast, then all but the two leading candidates are eliminated and the votes received by the eliminated candidates are distributed among the two remaining candidates according to voters' preferences. This ensures that one candidate achieves a majority and is declared elected.

Deliberative assemblies – bodies that use parliamentary procedure to arrive at decisions – use several methods of voting on motions. The regular methods of voting in such bodies are a voice vote, a rising vote, and a show of hands. Additional forms of voting include a recorded vote and balloting.

The multiple non-transferable vote (MNTV) is a group of voting system, in which voters elect several representatives at once, with each voter having more than one vote. MNTV uses multi-member electoral districts or only one district, which contains all voters, which is used to provide at-large representation.

Plurality block voting, also known as plurality-at-large voting, bloc vote or block voting (BV) is a non-proportional voting system for electing representatives in multi-winner elections. Each voter may cast as many votes as the number of seats to be filled. The usual result when the candidates divide into parties is that the most popular party in the district sees its full slate of candidates elected in a seemingly landslide victory.

Instant-runoff voting (IRV), also known as plurality with elimination or plurality loser, is a ranked-choice voting system that modifies plurality by repeatedly eliminating the last-place winner until only one candidate is left. In the United Kingdom, it is generally called the alternative vote (AV). In the United States, IRV is often referred to as ranked-choice voting (RCV), by way of conflation with ranked voting systems in general.

Direct representation or proxy representation is a form of representative democracy where voters can vote for any candidate in the land, and each representative's vote is weighted in proportion to the number of citizens who have chosen that candidate to represent them.

In the United States, a contingent election is used to elect the president or vice president if no candidate receives a majority of the whole number of Electors appointed. A presidential contingent election is decided by a special vote of the United States House of Representatives, while a vice-presidential contingent election is decided by a vote of the United States Senate. During a contingent election in the House, each state delegation votes en bloc to choose the president instead of representatives voting individually. Senators, by contrast, cast votes individually for vice president.


A major branch of social choice theory is devoted to the comparison of electoral systems, otherwise known as social choice functions. Viewed from the perspective of political science, electoral systems are rules for conducting elections and determining winners from the ballots cast. From the perspective of economics, mathematics, and philosophy, a social choice function is a mathematical function that determines how a society should make choices, given a collection of individual preferences.

References

  1. 1 2 Fowler, Henry Watson (1965). A Dictionary of Modern English Usage (2 ed.). Oxford: Oxford University Press. p. 725. ISBN   0-19-953534-5.
  2. "plurality". Merriam-Webster Dictionary. Retrieved 2015-12-29. a number of votes that is more than the number of votes for any other candidate or party but that is not more than half of the total number of votes
  3. Robert, Henry M. III; Honemann, Daniel H.; Balch, Thomas J. (2011). Robert's Rules of Order Newly Revised (11 ed.). Da Capo Press. pp. 404–405. ISBN   978-0-306-82021-2.
  4. Schermers, Henry G.; Blokker, Niels M. (2011). International Institutional Law: Unity Within Diversity (5 ed.). Martinus Nijhoff Publishers. ISBN   978-9004187986.
  5. Poundstone, William (2009). Gaming the Vote: Why Elections Aren't Fair (and What We Can Do About It). New York: Macmillan. p. 352. ISBN   978-1-4299-5764-9.