List of voting systems

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A voting system (or electoral system) is a set of rules that determine how elections and referendums are conducted and how their results are determined.

Contents

Some voting systems elect candidate or option a single winner. while others elect multiple winners, such as members of parliament or boards of directors.

The study of formally defined electoral methods is called social choice theory or voting theory, and this study can take place within the field of political science, economics, or mathematics, and specifically within the subfields of game theory and mechanism design.

List of voting systems by types

Name of electoral system

other names(other names that may sometimes refer to other systems)

VariationsType of representation Mixed?Single/multi-winnerList / candidate-based system

(if multi-winner)

Type of decision ruleType of ballotNumber of votes / voterNumber of tiers

(if mixed)

First-past-the-post (FPTP/FPP) [1]

Single-member plurality (SMP/SMDP)

two-round system with lower than 50% requirement in first round majoritarian nosingle-winnercandidate plurality single choice1
General ticket (Plurality) party-block voting (PBV) majoritarian no multi-winner list plurality single choice1
Plurality block voting (BV)

plurality-at-large voting

(multiple non-transferable vote, MTNV)

majoritarian no multi-winner candidate plurality multiple choice=number of winners
Limited voting (LV)

limited block votingpartial block voting

(multiple non-transferable vote, MNTV)

limited party block voting semi-proportional no multi-winner candidate plurality multiple choice<number of winners
Single non-transferable vote (SNTV) semi-proportional no multi-winner candidate plurality single choice1
Single transferable vote (STV)

Hare–Clark electoral system [2]

(proportional ranked-choice voting) [3]

semi-proportional / proportional no multi-winner candidate quota ranked choice (ordinal voting)1 (effectively)
Instant-runoff voting (IRV) [4]

(Alternative vote - AV) [5]

(Ranked-choice voting - RCV) [6]

(Single-transferable vote - STV)

(Hare's method) [7]

contingent vote supplementary vote majoritarian nosingle-winnercandidate majority ranked choice (ordinal voting)1 (effectively)
Two-round system (TRS) [8]

Runoff voting

non-partisan primary multi-round voting majoritarian nosingle-winnercandidate majority single choice1 (each round)
Two-round block voting (majority block voting)(multiple non-transferable vote, MNTV) majoritarian no multi-winner candidate majority multiple choice=number of winners (each round)
Multiple transferable vote (MTV)

(Preferential block voting)

majoritarian no multi-winner candidate majority ranked choice (ordinal voting)=number of winners, effectively
Exhaustive ballot majoritarian nosingle-winner /

multi-winner

candidate majority single choice1
Cumulative voting panachage(certain types) majoritarian /

semi-proportional

nosingle-winner /

multi-winner

candidate plurality cumulative ballot>1
Approval voting (AV) [9] block approval voting majoritarian nosingle-winner /

multi-winner

candidate plurality multiple choiceany number

(max. one for one candidate)

Score voting Range voting majoritarian /

semi-proportional

nosingle-winner /

multi-winner

candidate plurality score ballot(cardinal voting)
Borda count majoritarian /

semi-proportional

nosingle-winner /

multi-winner

candidate plurality ranked choice (ordinal voting)
Party-list proportional representation (party-list PR)

list-PR

Largest remainder Highest averages Binomial voting semi-proportional / proportional no multi-winner list (+ candidate, if open list) quota or divisor method single choice1 (effectively)
Non-compensatory combination of FPTP + List-PR

Supplementary member system

(Parallel voting) [10]

(Mixed-member majoritarian representation - MMM)

Two-round system + List-PR

mixed single vote version

semi-proportional yes multi-winner(+ single-winner in districts)candidate + list mixed non-compensatorysingle choice2 (each tier)2
Seat-linkage compensatory combination of FPTP + List-PR

Additional member system (AMS) [11]

(Mixed-member proportional representation - MMP)

mixed single vote version best-loser mixed-member proportional semi-proportional / proportional yes multi-winner(+ single-winner in districts)candidate + list mixed compensatorysingle choice2 (each tier)2
Vote-linkage compensatory combination of FPTP + List-PR

Positive vote transfer system (PVT) [12]

(mixed single vote - MSV [13] )

(Additional member system - AMS)

negative vote transfer semi-proportional / proportional yes multi-winner(+ single-winner in districts)candidate + list mixed compensatorysingle choice12
Dual member proportional (DMP) [14] semi-proportional / proportional yes multi-winner list or candidate plurality single choice11

List of electoral systems used for national elections

See also

Related Research Articles

Plurality voting is an electoral system in which a candidate, or candidates, who poll more than any other counterpart, are elected. In a system based on single-member districts, it elects just one member per district and may be called first-past-the-post (FPTP), single-choice voting, simple plurality or relative/simple majority. In a system based on multi-seat districts, it elects multiple candidates in a district and may be referred to as plurality block voting. Not every winner-takes-all system is plurality voting, for example Instant-runoff voting is one non-plurality winner-takes-all system. Plurality voting is still used to elect members of a legislative assembly or executive officers in only a handful of countries in the world. It is used in most elections in the United States, the lower house in India, elections to the British House of Commons and English local elections in the United Kingdom, France and federal and provincial elections in Canada.

Proportional representation (PR) refers to a type of electoral systems under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to geographical and political divisions of the electorate. The essence of such systems is that all votes contribute to the result—not just a plurality, or a bare majority—and that the system produces mixed, balanced representation reflecting how votes are cast.

Party-list proportional representation Family of voting systems

Party-list proportional representation is a subset of proportional representation electoral systems in which multiple candidates are elected through their position on an electoral list. They can also be used as part of mixed-member electoral systems.

Two-round system 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 a simple 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 candidate are excluded from the second round.

Single transferable vote Proportional representation voting system

Single transferable vote (STV) is a multi-winner electoral system in which voters cast 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 their preferences if their preferred candidate is eliminated, so that their vote still counts.

Mixed-member proportional representation is a mixed electoral system in which voters get two votes: one to decide the representative for their single-seat constituency, and one for a political party. Seats in the legislature are filled first by the successful constituency candidates, and second, by party candidates based on the percentage of nationwide or region-wide votes that each party received. The constituency representatives are usually elected using first-past-the-post voting (FPTP) but the Scandinavian countries have a long history of using both multi-member districts and nationally-based compensatory top-up seats.

First-past-the-post voting Plurality voting method

In a first-past-the-post electoral system ; formally called single-member plurality voting (SMP) when used in single-member districts, or (informally) choose-one voting in contrast to ranked voting or score voting), voters cast their vote for a candidate of their choice, and the candidate who receives the most votes wins. FPTP is a plurality voting method, and is primarily used in systems that use single-member electoral divisions. FPTP is used as the primary form of allocating seats for legislative elections in about a third of the world's countries, mostly in the English-speaking world. The phrase is a metaphor from British horse racing, where there is a post at the finish line.

Canada holds elections for legislatures or governments in several jurisdictions: for the federal (national) government, provincial and territorial governments, and municipal governments. Elections are also held for self-governing First Nations and for many other public and private organizations including corporations and trade unions. Municipal elections can also be held for both upper-tier and lower-tier governments.

Elections in Brazil Elections

Brazil elects on the national level a head of state—the president—and a legislature. The president is elected to a four-year term by absolute majority vote through a two-round system. The National Congress has two chambers. The Chamber of Deputies has 513 members, elected to a four-year term by proportional representation. The Federal Senate has 81 members, elected to an eight-year term, with elections every four years for alternatively one-third and two-thirds of the seats. Brazil has a multi-party system, with such numerous parties that often no one party has a chance of gaining power alone, and so they must work with each other to form coalition governments.

Labour Campaign for Electoral Reform British political organisation

The Labour Campaign for Electoral Reform (LCER) is an organisation formed of members and supporters of the British Labour Party, seeking to persuade the party to adopt in its manifesto a commitment to proportional representation in all UK elections.

FairVote, formerly the Center for Voting and Democracy, is a 501(c)(3) organization that advocates electoral reform in the United States.

Historically, the single transferable vote (STV) electoral system has seen a series of relatively modest periods of usage and disusage throughout the world; however, today it is seeing increasing popularity and proposed implementation as a method of Proportional representation and a goal of electoral reform. STV has been used in many different local, regional and national electoral systems, as well as in various other types of bodies, around the world.

Instant-runoff voting (IRV) is a voting method used in single-seat elections with more than two candidates. Instead of voting only for a single candidate, voters in IRV elections can rank the candidates in order of preference. Ballots are initially counted for each elector's top choice, losing candidates are eliminated, and ballots for losing candidates are redistributed until one candidate is the top remaining choice of a majority of the voters. When the field is reduced to two, it has become an "instant runoff" that allows a comparison of the top two candidates head-to-head.

A single-member district is an electoral district represented by a single officeholder. It contrasts with a multi-member district, which is represented by multiple officeholders. Single-member districts are also sometimes called single-winner voting, winner-takes-all, or single-member constituencies.

Ranked-choice voting in the United States Electoral system used in some cities and states

Ranked-choice voting (RCV) is a ranked voting system being used in some states and cities in the United States in which voters may prioritize (rank) their choice of candidates among many, and a procedure exists to count lower ranked candidates if and after higher ranked candidates have been eliminated, usually in a succession of counting rounds. In practice, there are several ways this can be implemented and variations exist; instant-runoff voting (IRV) and single transferable vote (STV) are the general types of ranked-choice voting systems used in the United States.

Electoral reform is change in electoral systems to improve how public desires are expressed in election results. That can include reforms of:

Electoral system Method by which voters make a choice between options

An electoral system or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. Political electoral systems are organized by governments, while non-political elections may take place in business, non-profit organisations and informal organisations. These rules govern all aspects of the voting process: when elections occur, who is allowed to vote, who can stand as a candidate, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on campaign spending, and other factors that can affect the result. Political electoral systems are defined by constitutions and electoral laws, are typically conducted by election commissions, and can use multiple types of elections for different offices.

Rural–urban proportional representation Canadian hybrid proportional electoral system

Rural–urban proportional representation (RUP), also called Flexible District PR, is a hybrid proportional system designed by Fair Vote Canada with the intention of meeting the special challenges of Canada's geography, which includes wide-flung, sparsely populated areas. As conceived in general terms by Fair Vote Canada, the rural–urban proportional model combines the use of multi-member ridings and top-up seats to meet the different needs of both rural and urban areas, while protecting the objective of proportionality. Sweden, Denmark and Iceland use similar voting models.

The mixed ballot transferable vote (MBTV) refers to a type of vote linkage-based mixed-member electoral system where a group of members are elected on local (lower) tier, for example in single-member districts (SMDs). Other members are elected on a compensatory national (upper) tier from a list and voters cast a single ballot where they may indicate their preferences separately.

An electoral system or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. Elections and referenda have been organized by governments, business, non-profit organisations and informal organisations. There are many variations in electoral systems, with the most common systems being first-past-the-post voting, the two-round (runoff) system and proportional representation.

References

  1. "First past the post". nzhistory.govt.nz. Ministry for Culture and Heritage. 13 January 2016. Archived from the original on 24 May 2022. Retrieved 25 May 2022.
  2. George Howatt, Democratic Representation under the Hare-Clark System – The Need for Seven-Member Electorates
  3. "How RCV Works". FairVote. Archived from the original on 2022-05-25. Retrieved 2022-06-11.
  4. Cary, David (1 January 2011). "Estimating the Margin of Victory for Instant-runoff Voting". Proceedings of the 2011 Conference on Electronic Voting Technology/Workshop on Trustworthy Elections. EVT/WOTE'11: 3. Archived from the original on 3 October 2018. Retrieved 11 June 2022.
  5. "Alternative Vote". www.electoral-reform.org.uk. Archived from the original on 2019-05-28. Retrieved 2019-05-30.
  6. FairVote.org. "Ranked Choice Voting / Instant Runoff". FairVote. Archived from the original on 7 January 2021. Retrieved 12 April 2021.
  7. Pacuit, Eric (3 August 2011). "Voting Methods". Archived from the original on 21 November 2021. Retrieved 11 June 2022 via plato.stanford.edu.{{cite journal}}: Cite journal requires |journal= (help)
  8. "Two-Round System". Electoral Reform Society. Archived from the original on 12 December 2021. Retrieved 7 Nov 2019.
  9. Brams, Steven; Fishburn, Peter (1978). "Approval Voting". American Political Science Review. 72 (3): 831–847. doi:10.2307/1955105. JSTOR   1955105.
  10. "Parallel —". aceproject.org. Archived from the original on 2022-04-27. Retrieved 2022-04-21.
  11. "Additional-member system: Politics". Encyclopædia Britannica . Archived from the original on 8 April 2020. Retrieved 24 March 2016.
  12. Bochsler, D (2014). "Which mixed-member proportional electoral formula fits you best? Assessing the proportionality principle of positive vote transfer systems". Representation. 50: 113–127. doi:10.1080/00344893.2014.902222. S2CID   153691414.
  13. Golosov, G. V. (2013). "The Case for Mixed Single Vote Electoral Systems". The Journal of Social, Political, and Economic Studies.
  14. Graham, Sean (April 4, 2016). "Dual-Member Mixed Proportional: A New Electoral System for Canada". doi:10.7939/r3-qppp-b676. Archived from the original on December 4, 2020. Retrieved June 11, 2022.{{cite journal}}: Cite journal requires |journal= (help)