List of electoral systems

Short description: none

Template:Electoral systems 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.

## Contents

* 1 List of electoral systems by types
* 1.1 Key
* 1.2 Systems
* 2 List of electoral systems used for national elections
* 3 See also
* 4 Notes
* 5 References

## List of electoral systems by types

### Key

* Name (abbr.) and other names of the system (other names that may sometimes refer to other systems)
* Type of representation: the most common division of electoral systems
* Winner-take-all system (also called majoritarian representation): includes all single-winner systems; no guaranteed minority representation
* Proportional representation
* Semi-proportional representation
* Other: sortition, etc.
* Mixed system (yes/no): A systems composed of multiple other electoral systems, usually containing at least one proportional and one winner-take all system.
* Superposition/parallel voting
* Coexistence
* Fusion
* Correction
* Conditional
* Supermixed
* Single-winner/multiple winner system
* List / candidate (personal election, also called nominal election) based system
* Type of ballot
* single choice (voter can cast only one vote, whether for a candidate or for a party)
* multiple choice (voter can cast multiple votes)
* cumulative (voter can cast more than one vote for a candidate)
* ranked (preferential voting; ordinal voting) (allows vote transfers)
* score (cardinal voting)
* Decision rule
* No quotas
* Plurality (candidate or candidates with most votes wins, even if not majority of votes)
* Quota (candidates must at least reach the quota to be certain of election)
* Notable quotas
* Absolute majority (candidates must receive support at least half of voters
* Hare quota
* Droop quota
* Largest remainder method (supplemental method to using quotas)
* Multi-round voting (common supplemental method to using absolute majority
* Pairwise comparisons
* Simple majority rule
* Other
* Randomization
* Number of votes/voter
* Number of tiers: number of levels e.g. local, regional, state, national

### Systems

Name(s)  | Variations  | Type of representation  | Mixed?  | Number of Winners  | List-based OR candidate-based system  | Decision Rule  | Type of ballot  | Number of votes / voter

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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  | varies (equal to 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  | varies (less than 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]

(Hare's method)[7]

| contingent vote,

supplementary vote, Coombs' method

| Winner-take-all  | No  | single-winner  | candidate  | majority  | ranked choice (ordinal voting)  | 1 (effectively)
Two-round system (TRS)[8]

Runoff voting

| Non-partisan primary,

multi-round voting

| 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  | varies (equal to 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 remainderHighest averagesBinomial voting

Closed List Open List

| 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)

(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-compensatory  | single choice  | 2 (each tier)
Seat-linkage compensatory combination of FPTP + List-PR

(Additional member system - AMS)[11]

(Mixed-member proportional representation \- MMP)

| mixed single vote versionbest-loser mixed-member proportional | semi-proportional / proportional | Yes  | multi-winner(+ single-winner in districts)  | candidate + list | mixed compensatory  | single choice  | 2 (each tier)
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
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

## List of electoral systems used for national elections

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,[lower-alpha 1] Russia, South Korea (de facto),[lower-alpha 2][lower-alpha 1] Taiwan, Venezuela, Thailand[lower-alpha 1]
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

Additional member system - AMS[11]

Mixed-member proportional representation \- MMP

| FPTP + List-PR  | Semi-proportional / Proportional  | Bolivia, Lesotho, New Zealand
FPTP + List-PR (hybrid)  | Semi-proportional  | South Korea (de jure)[lower-alpha 2][lower-alpha 1]
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

## See also

* Comparison of electoral systems
* Sortition
* Indirect voting
* Liquid democracy

## Notes

1. ↑ 1.0 1.1 1.2 1.3 The Philippines, South Korea and Thailand use the first-past-the-post voting system primarily; 80% or above of their members of parliament are elected by FPTP.
2. ↑ 2.0 2.1 South Korea uses the additional member system de jure, but it has been de facto nullified via decoy list usage by major political parties.[15]

## References

1. ↑ 1.0 1.1 "First past the post" (in en). Ministry for Culture and Heritage. 13 January 2016. https://nzhistory.govt.nz/politics/fpp-to-mmp/first-past-the-post.
2. ↑ George Howatt, Democratic Representation under the Hare-Clark System – The Need for Seven-Member Electorates
3. ↑ "How RCV Works". https://www.fairvote.org/how_rcv_works.
4. ↑ 4.0 4.1 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. http://dl.acm.org/citation.cfm?id=2028012.2028015. Retrieved 11 June 2022.
5. ↑ "Alternative Vote" (in en-US). https://www.electoral-reform.org.uk/voting-systems/types-of-voting-system/alternative-vote/.
6. ↑ FairVote.org. "Ranked Choice Voting / Instant Runoff". https://www.fairvote.org/rcv.
7. ↑ Pacuit, Eric (3 August 2011). Voting Methods. https://plato.stanford.edu/archives/fall2019/entries/voting-methods/. Retrieved 11 June 2022.
8. ↑ 8.0 8.1 "Two-Round System". https://www.electoral-reform.org.uk/voting-systems/types-of-voting-system/two-round-system/.
9. ↑ Brams, Steven; Fishburn, Peter (1978). "Approval Voting". American Political Science Review 72 (3): 831–847. doi:10.2307/1955105.
10. ↑ "Parallel —". https://aceproject.org/main/english/es/ese01.htm.
11. ↑ 11.0 11.1 "Additional-member system: Politics". Encyclopædia Britannica. http://www.britannica.com/topic/additional-member-system. 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.
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. https://era.library.ualberta.ca/items/e3ab993a-d264-4d30-b819-290ab5fd6b62. Retrieved June 11, 2022.
15. ↑ Nam, Hyun-woo (2024-02-05). "Major parties revert to criticized tactic to boost votes ahead of crucial election". The Korea Times. https://www.koreatimes.co.kr/www/nation/2024/04/113_368264.html.

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