List of electoral systems

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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.

Contents

Some electoral systems elect a single winner (single candidate or option), 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 electoral systems by types

Key

Systems

Name(s)VariationsType of representation Mixed?Single/multi-winnerList-based OR candidate-based systemType 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 Winner-take-all Nosingle-winnercandidate plurality single choice1
General ticket

Party-block voting (PBV)

Winner-take-all No multi-winner (one slate) list plurality single choice1
Plurality block voting (BV)

plurality-at-large voting

(multiple non-transferable vote, MTNV)

limited party block voting Winner-take-all No multi-winner candidate plurality multiple choice=number of winners
Limited voting (LV)

limited block voting

partial 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, Coombs' method

Winner-take-all Nosingle-winnercandidate majority ranked choice (ordinal voting)1 (effectively)
Two-round system (TRS) [8]

Runoff voting

Non-partisan primary,

multi-round voting

Winner-take-all Nosingle-winnercandidate majority majoritarian single choice1 (each round)
Two-round block voting

(majority block voting)(multiple non-transferable vote, MNTV)

Winner-take-all 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
Approval voting (score voting 0-1) 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)
Condorcet method Copeland's method,

Dodgson's method, Kemeny–Young method, Minimax, Nanson's method, ranked pairs, Schulze method, Tideman's alternative methods

majoritarian Nosingle-winnercandidatemajority against every candidate ranked choice (ordinal voting)
Party-list proportional representation

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)
Superposition - 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 (one elected by First-past-the-post voting; the other due to party list PR system list or candidate plurality (votes cast outside district have an effect)single choice11

List of electoral systems used for national elections

Electoral systemSubtype / combinationType of representationCountries and territories that use it to elect primary (lower) chamber of legislature
First-past-the-post (FPTP/FPP) [1]
Single-member plurality (SMP/SMDP)
noWinner-take-all (single-winner)Antigua and Barbuda, Azerbaijan, Bahamas, Bangladesh, Barbados, Belarus, Belize, Bhutan, Botswana, Canada, Côte d'Ivoire, Dominica, Gambia, Ghana, Grenada, Jamaica, India, Kenya, Liberia, Madagascar, Malawi, Malaysia, Maldives, Micronesia, Myanmar, Nigeria, St. Kitts and Nevis, St. Lucia, Palau, Samoa, Solomon Islands, Trinidad and Tobago, Turkmenistan, Uganda, United Kingdom, St. Vincent and the Grenadines, Zambia
General ticket

Party-list plurality block voting (PBV)

noWinner-take-allSingapore
Plurality block voting (BV)

plurality-at-large voting

noWinner-take-allLaos, Lebanon, Mauritius, Oman, Syria, Tonga, Tuvalu, Vietnam
Limited voting (LV)

limited block voting

noSemi-proportional
Single non-transferable vote (SNTV)noSemi-proportional
Single transferable vote (STV)noSemi-proportional / ProportionalIreland, Malta
Instant-runoff voting (IRV) [4] noSemi-proportionalAustralia, Papua New Guinea
Two-round system (TRS) [8]

Runoff voting

noWinner-take-all (single-winner)France
Two-round block voting

majority block voting

noWinner-take-all
Borda count noSemi-proportionalNauru
Modified cumulative voting noSemi-proportionalNorfolk Island
Party-list proportional representation (list-PR)Closed listProportional
Closed list, locally personalizedProportionalGermany
Open list for some partiesProportionalColombia
Open listProportionalAlbania, Algeria, Austria, Belgium, Brazil, Bulgaria, Chile, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Fiji, Finland, Iceland, Indonesia, Jordan, Kosovo, Latvia, Netherlands, Norway, Peru, Poland, Sierra Leone, Slovakia, Slovenia, Sri Lanka, Suriname, Sweden
Panachage ProportionalEcuador, El Salvador, Honduras, Liechtenstein, Luxembourg, Switzerland
Superposition - non-compensatory combination of FPTP + List-PR

Parallel voting , Supplementary member system

FPTP + List-PR (two votes)Semi-proportionalCameroon, D.R.Congo, Japan, Kazakhstan, Kyrgyzstan, Nepal, Philippines, Russia, Taiwan, Venezuela, Thailand
FPTP + List-PR (tied votes)Semi-proportionalItaly
FPTP + List-PR (proportional to FPTP)Winner-take-all / Semi-proportionalPakistan, Tanzania, Zimbabwe
TRS + List-PRSemi-proportionalEgypt, Lithuania, Tajikistan
BV/PBV + List-PRSemi-proportionalAndorra, Mauritania, Senegal, Monaco
Seat-linkage compensatory combination of FPTP + List-PR

Additional member system - AMS [11]

Mixed-member proportional representation - MMP

FPTP + List-PRSemi-proportional / ProportionalBolivia, Lesotho, New Zealand
FPTP + List-PR (hybrid)Semi-proportionalSouth Korea
FPTP + List-PR (limited disproportionality)Semi-proportionalMexico
Vote-linkage (compensatory) combination of FPTP + List-PRFPTP + List-PRSemi-proportionalHungary
Majority bonus systemList-PR with plurality bonusSemi-proportionalGreece
Majority jackpot systemMajority jackpotWinner-take-all / Semi-proportionalDjibouti
Majority/minority jackpotSemi-proportionalArmenia
Two-round majority jackpotSemi-proportional / ProportionalSan Marino
Electoral system for national legislatures

(lower house or unicameral)

Electoral systems map simplified.svg
   Majoritarian representation (winner-take-all)
  No election (e.g. Monarchy)

See also

Related Research Articles

<span class="mw-page-title-main">Election</span> Process by which a population chooses the holder of a public office

An election is a formal group decision-making process by which a population chooses an individual or multiple individuals to hold public office.

<span class="mw-page-title-main">Proportional representation</span> Voting system that makes outcomes proportional to vote totals

Proportional representation (PR) refers to any type of electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to political divisions among voters. The essence of such systems is that all votes cast – or almost all votes cast – contribute to the result and are effectively used to help elect someone. Under other election systems, a bare plurality or a scant majority are all that are used to elect candidates. PR systems provide balanced representation to different factions, reflecting how votes are cast.

<span class="mw-page-title-main">Party-list proportional representation</span> Family of voting systems

Party-list proportional representation (list-PR) is a system of proportional representation based on preregistered political parties, with each party being allocated a certain number of seats roughly proportional to their share of the vote.

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

The two-round system, also called ballotage, top-two runoff, or two-round plurality, is a single winner voting method. It is sometimes called plurality-runoff, although this term can also be used for other, closely-related systems such as instant-runoff voting or the exhaustive ballot. It falls under the class of plurality-based voting rules, together with instant-runoff and first-past-the-post (FPP). In a two-round system, if no candidate receives a majority of the vote in the first round, the two candidates with the most votes in the first round proceed to a second round where all other candidates are excluded. Both rounds are held under choose-one voting, where the voter marks a single favored candidate.

<span class="mw-page-title-main">Single transferable vote</span> Multi-winner electoral system

The single transferable vote (STV) or 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 ballot. Voters have the option to rank candidates, and their vote may be transferred according to alternative 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.

Strategic or tactical voting is voting in consideration of possible ballots cast by other voters in order to maximize one's satisfaction with the election's results.

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

Voting refers to the process of choosing officials or policies by casting a ballot, a document used by people to formally express their preferences. Republics and representative democracies are governments where the population chooses representatives by voting.

<span class="mw-page-title-main">Droop quota</span> Quantity of votes in election studies

In the study of electoral systems, the Droop quota is the minimum number of supporters a party or candidate needs to receive in a district to guarantee they will win at least one seat in a legislature.

<span class="mw-page-title-main">Negative responsiveness</span> Property of electoral systems

In social choice, the negative responsiveness, perversity, or additional support paradox is a pathological behavior of some voting rules, where a candidate loses as a result of having "too much support" from some voters, or wins because they had "too much opposition". In other words, increasing (decreasing) a candidate's ranking or rating causes that candidate to lose (win). Electoral systems that do not exhibit perversity are said to satisfy the positive response or monotonicitycriterion.

<span class="mw-page-title-main">Quota method</span> Proportional-representation voting system

The quota or divide-and-rank methods make up a category of apportionment rules, i.e. algorithms for allocating seats in a legislative body among multiple groups. The quota methods begin by calculating an entitlement for each party, by dividing their vote totals by an electoral quota. Then, leftover seats, if any are allocated by rounding up the apportionment for some parties. These rules are typically contrasted with the more popular highest averages methods.

<span class="mw-page-title-main">Random ballot</span> Electoral system with lottery among ballots

A random ballot or random dictatorship is a randomized electoral system where the election is decided on the basis of a single randomly-selected ballot. A closely-related variant is called random serialdictatorship, which repeats the procedure and draws another ballot if multiple candidates are tied on the first ballot.

An electoraldistrict, sometimes called a constituency, riding, or ward, is a subdivision of a larger state created to provide its population with representation in the larger state's legislature. That body, or the state's constitution or a body established for that purpose, determines each district's boundaries and whether each will be represented by a single member or multiple members. Generally, only voters (constituents) who reside within the district are permitted to vote in an election held there. District representatives may be elected by a first-past-the-post system, a proportional representative system, or another voting method. They may be selected by a direct election under universal suffrage, an indirect election, or another form of suffrage.

<span class="mw-page-title-main">Hare quota</span> Electoral system quota formula

In the study of apportionment, the Harequota is the number of voters represented by each legislator under an idealized system of proportional representation, where every legislator represents an equal number of voters and where every vote is used to elect someone. The Hare quota is the total number of votes divided by the number of seats to be filled. The Hare quota was used in the original proposal for a single transferable vote system, and is still occasionally used, although it has since been largely supplanted by the Droop quota.

In electoral systems, a wasted vote is any vote cast that is not "used" to elect a winner, and so is not represented in the outcome. However, the term is vague and ill-defined, having been used to refer to a wide variety of unrelated concepts and metrics. The precise definition of a wasted vote can have a major impact on the conclusions of an analysis. For example, under the narrowest possible definition of a wasted vote, the single transferable vote (STV) can be considered to waste zero votes. However, if the wasted vote definition is expanded even slightly, it is possible for up to 100% of STV votes to be classified as wasted because STV fails the unanimity criterion; that is, it is possible to elect a legislature that every single voter agrees is worse than some alternative.

The single transferable vote (STV) is a proportional representation system that elects multiple winners. It is one of several ways of choosing winners from ballots that rank candidates by preference. Under STV, an elector's vote is initially allocated to their first-ranked candidate. Candidates are elected (winners) if their vote tally reaches quota. After the winners in the first count are determined, if seats are still open, surplus votes — those in excess of an electoral quota— are transferred from winners to the remaining candidates (hopefuls) according to the surplus ballots' next usable back-up preference.

<span class="mw-page-title-main">FairVote</span> U.S. electoral reform organization

FairVote is a 501(c)(3) organization and lobbying group in the United States. It was founded in 1992 as Citizens for Proportional Representation to support the implementation of proportional representation in American elections. Its focus changed over time to emphasize instant-runoff voting (IRV), a national popular vote, and universal voter registration. It changed its name to the Center for Voting and Democracy in 1993 and to FairVote in 2004.

<span class="mw-page-title-main">Semi-proportional representation</span> Family of electoral systems

Semi-proportional representation characterizes multi-winner electoral systems which allow representation of minorities, but are not intended to reflect the strength of the competing political forces in close proportion to the votes they receive. Semi-proportional voting systems are generally used as a compromise between complex and expensive but more-proportional systems and simple winner-take-all systems. Examples of semi-proportional systems include the single non-transferable vote, limited voting, and parallel voting.

<span class="mw-page-title-main">Electoral system</span> Method by which voters make a choice between options

An electoral or voting system is a set of rules used to determine the results of an election. Electoral systems are used in politics to elect 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.

<span class="mw-page-title-main">Ranked voting</span> Voting systems that use ranked ballots

Ranked voting is any voting system that uses voters' rankings of candidates to choose a single winner or multiple winners. More formally, a ranked system is one that depends only on which of two candidates is preferred by a voter, and as such does not incorporate any information about intensity of preferences. Ranked voting systems vary dramatically in how preferences are tabulated and counted, which gives them very different properties. In instant-runoff voting (IRV) and the single transferable vote system (STV), lower preferences are used as contingencies and are only applied when all higher-ranked preferences on a ballot have been eliminated or when one of the higher ranked preferences has been elected and surplus votes need to be transferred.

<span class="mw-page-title-main">Mixed-member majoritarian representation</span> Type of mixed electoral system

Mixed-member majoritarian representation (MMM) is type of a mixed electoral system combining winner-take-all and proportional methods, where the disproportional results of the winner-take-all part are dominant over the proportional component. Mixed member majoritarian systems are therefore categorized under semi-proportional representation, and are usually contrasted with mixed-member proportional representation (MMP) which aims to provide proportional representation compensation ("top-up") seats.

References

  1. 1 2 "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. 1 2 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. 1 2 "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. S2CID   251092061.
  10. "Parallel —". aceproject.org. Archived from the original on 2022-04-27. Retrieved 2022-04-21.
  11. 1 2 "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)