Part of the Politics and Economics series |
Electoral systems |
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Politicsportal Economicsportal |
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.
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.
Name(s) | Variations | Type of representation | Mixed? | Single/multi-winner | List-based OR candidate-based system | Type of decision rule | Type of ballot | Number of votes / voter | Number of tiers (if mixed) |
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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 | No | single-winner | candidate | plurality | single choice | 1 | — |
General ticket Party-block voting (PBV) | Winner-take-all | No | multi-winner (one slate) | list | plurality | single choice | 1 | — | |
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 choice | 1 | — | |
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, | Winner-take-all | No | single-winner | candidate | majority | ranked choice (ordinal voting) | 1 (effectively) | — |
Two-round system (TRS) [8] Runoff voting | Non-partisan primary, | Winner-take-all | No | single-winner | candidate | majority majoritarian | single choice | 1 (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 | No | single-winner /multi-winner | candidate | majority | single choice | 1 | — | |
Cumulative voting | panachage (certain types) | majoritarian / semi-proportional | No | single-winner /multi-winner | candidate | plurality | cumulative ballot | >1 | — |
Approval voting (AV) [9] | block approval voting | majoritarian | No | single-winner /multi-winner | candidate | plurality | multiple choice | any number (max. one for one candidate) | — |
Score voting Range voting | Approval voting (score voting 0-1) | majoritarian / semi-proportional | No | single-winner /multi-winner | candidate | plurality | score ballot(cardinal voting) | — | |
Borda count | majoritarian / semi-proportional | No | single-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 | No | single-winner | candidate | majority 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 choice | 1 (effectively) | — |
Superposition - non-compensatory combination of FPTP + List-PR (Supplementary member system) | Two-round system + List-PR | semi-proportional | Yes | multi-winner(+ single-winner in districts) | candidate + list | mixed non-compensatory | single choice | 2 (each tier) | 2 |
Seat-linkage compensatory combination of FPTP + List-PR | mixed single vote version best-loser mixed-member proportional | semi-proportional / proportional | Yes | multi-winner(+ single-winner in districts) | candidate + list | mixed compensatory | single choice | 2 (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 compensatory | single choice | 1 | 2 |
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 choice | 1 | 1 |
Electoral system | Subtype / combination | Type of representation | Countries and territories that use it to elect primary (lower) chamber of legislature |
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First-past-the-post (FPTP/FPP) [1] Single-member plurality (SMP/SMDP) | no | Winner-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) | no | Winner-take-all | Singapore |
Plurality block voting (BV) plurality-at-large voting | no | Winner-take-all | Laos, Lebanon, Mauritius, Oman, Syria, Tonga, Tuvalu, Vietnam |
Limited voting (LV) limited block voting | no | Semi-proportional | |
Single non-transferable vote (SNTV) | no | Semi-proportional | |
Single transferable vote (STV) | no | Semi-proportional / Proportional | Ireland, Malta |
Instant-runoff voting (IRV) [4] | no | Semi-proportional | Australia, Papua New Guinea |
Two-round system (TRS) [8] Runoff voting | no | Winner-take-all (single-winner) | France |
Two-round block voting majority block voting | no | Winner-take-all | |
Borda count | no | Semi-proportional | Nauru |
Modified cumulative voting | no | Semi-proportional | Norfolk Island |
Party-list proportional representation (list-PR) | Closed list | Proportional | |
Closed list, locally personalized | Proportional | Germany | |
Open list for some parties | Proportional | Colombia | |
Open list | Proportional | Albania, 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 | Proportional | Ecuador, 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-proportional | Cameroon, D.R.Congo, Japan, Kazakhstan, Kyrgyzstan, Nepal, Philippines, Russia, Taiwan, Venezuela, Thailand |
FPTP + List-PR (tied votes) | Semi-proportional | Italy | |
FPTP + List-PR (proportional to FPTP) | Winner-take-all / Semi-proportional | Pakistan, Tanzania, Zimbabwe | |
TRS + List-PR | Semi-proportional | Egypt, Lithuania, Tajikistan | |
BV/PBV + List-PR | Semi-proportional | Andorra, Mauritania, Senegal, Monaco | |
Seat-linkage compensatory combination of FPTP + List-PR | FPTP + List-PR | Semi-proportional / Proportional | Bolivia, Lesotho, New Zealand |
FPTP + List-PR (hybrid) | Semi-proportional | South Korea | |
FPTP + List-PR (limited disproportionality) | Semi-proportional | Mexico | |
Vote-linkage compensatory combination of FPTP + List-PR | FPTP + List-PR | Semi-proportional | Hungary |
Majority bonus system | List-PR with plurality bonus | Semi-proportional | Greece |
Majority jackpot system | Majority jackpot | Winner-take-all / Semi-proportional | Djibouti |
Majority/minority jackpot | Semi-proportional | Armenia | |
Two-round majority jackpot | Semi-proportional / Proportional | San Marino |
Electoral system for national legislatures (lower house or unicameral) |
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No election (e.g. Monarchy) |
An election is a formal group decision-making process by which a population chooses an individual or multiple individuals to hold public office.
Plurality voting refers to electoral systems in which the candidate in an electoral district who poll more than any other are elected.
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. Further, a PR system is one that produces mixed and balanced representation, reflecting how votes are cast.
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.
The two-round system, also called ballotage, top-two runoff, or two-round plurality, is a voting method used to elect a single winner. In the United States, it is often called a jungle or nonpartisan primary. It is sometimes called plurality runoff, although this term can also be used for other systems.
The single transferable vote (STV), sometimes mistakenly conflated with 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 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. For example, in plurality or instant-runoff, a voter may recognize their favorite candidate is unlikely to win and so instead support a candidate they think is more likely to win.
Single non-transferable vote or SNTV is an electoral system used to elect multiple winners. It is a generalization of first-past-the-post, applied to multi-member districts with each voter casting just one vote. Unlike FPTP, which is a single-winner system, in SNTV multiple winners are elected, typically in electoral districts; additionally, unlike FPTP, SNTV produces mixed representation and makes it unlikely for a single party to take all the seats in a city or a set area, which can happen under FPTP.
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.
Third party, or minor party, is a term used in the United States' two-party system for political parties other than the Republican and Democratic parties.
An electoral district, also known as an election district, legislative district, voting district, constituency, riding, ward, division, electorate, or (election) precinct, 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.
In electoral systems, a wasted vote is any vote cast that does not impact the final election outcome.
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.
Instant-runoff voting (IRV) is a ranked voting method used in single-winner elections. IRV is also known outside the US as the alternative vote (AV). Today it is in use at a national level to elect the Australian House of Representatives, the National Parliament of Papua New Guinea, the President of Ireland and President of India. In Australia it is also used for elections to the legislative assemblies of all states and territories except Tasmania and the Australian Capital Territory, and for the Tasmanian Legislative Council.
Instant-runoff voting (IRV), also known as ranked-choice voting or the alternative vote (AV), combines ranked voting together with a system for choosing winners from these rankings by repeatedly eliminating the candidate with the fewest first-place votes and reassigning their votes until only one candidate is left. It can be seen as a modified form of a runoff election or exhaustive ballot in which, after eliminating some candidates, the choice among the rest is made from already-given voter rankings rather than from a separate election. Many sources conflate this system of choosing winners with ranked-choice voting more generally, for which several other systems of choosing winners have also been used.
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.
An electoral or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. 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.
Rural–urban proportional representation (RUP), also called flexible district PR, is a mixed electoral system which combines the use of single- and multi-member constituencies in a lower tier and top-up seats in an upper tier to meet the different needs of both rural and urban areas, while protecting the objective of proportionality. The term was coined by Fair Vote Canada, which devised a rural–urban system with the intention of meeting the special challenges of Canada's geography, which includes wide-flung, sparsely populated areas.
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.
The spare vote is a version of single transferable voting applied to the ranking of parties, first proposed for elections in Germany in 2013. This preferential party system is a ranked proportional representation electoral system applying to political parties instead of individual candidates. The spare vote refers to a secondary vote (preference) of the voter, which only comes into play if the first preference for the political party preferred by the voter, is below the electoral threshold. In Germany, there were draft laws for the spare vote system in Saarland, Schleswig-Holstein and Brandenburg federal states, but they were not implemented.
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