List of electoral systems
Topic: Social
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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.
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
- 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
- Majoritarian: winner-takes-all systems (including all single-winner systems)
- Proportional
- Semi-proportional
- Other: sortition, etc.
- Mixed system (yes/no)
- Single-winner/multiple winner system
- List / candidate (personal election) based system
- Decision rule
- Plurality (candidates with most votes win)
- Majority (candidates must receive support at least half of voters)
- Quota (candidates must at least reach the quota)
- Type of ballot
- Number of votes/voter
- Number of tiers: number of levels e.g. local, regional, state, national
Systems
| Name(s) | Variations | Type of representation | Mixed? | Single/multi-winner | List / candidate-based system | Type of decision rule | Type of ballot | Number of votes / voter | Number 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 | No | single-winner | candidate | plurality | single choice | 1 | N/A |
| General ticket
Party-block voting (PBV) |
majoritarian | No | multi-winner | list | plurality | single choice | 1 | N/A | |
| Plurality block voting (BV)
plurality-at-large voting (multiple non-transferable vote, MTNV) |
limited party block voting | majoritarian | No | multi-winner | candidate | plurality | multiple choice | =number of winners | N/A |
| 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 | N/A |
| Single non-transferable vote (SNTV) | semi-proportional | No | multi-winner | candidate | plurality | single choice | 1 | N/A | |
| 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) | N/A | |
| 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 |
majoritarian | No | single-winner | candidate | majority | ranked choice (ordinal voting) | 1 (effectively) | N/A |
| Two-round system (TRS)[8]
Runoff voting |
Non-partisan primary,
multi-round voting |
majoritarian | No | single-winner | candidate | majority | single choice | 1 (each round) | N/A |
| 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) | N/A | |
| Multiple transferable vote (MTV)
(Preferential block voting) |
majoritarian | No | multi-winner | candidate | majority | ranked choice (ordinal voting) | =number of winners, effectively | N/A | |
| Exhaustive ballot | majoritarian | No | single-winner /multi-winner | candidate | majority | single choice | 1 | N/A | |
| Cumulative voting | panachage (certain types) | majoritarian / semi-proportional | No | single-winner /multi-winner | candidate | plurality | cumulative ballot | >1 | N/A |
| Approval voting (AV)[9] | block approval voting | majoritarian | No | single-winner /multi-winner | candidate | plurality | multiple choice | any number
(max. one for one candidate) |
N/A |
| Score voting Range voting |
Approval voting (score voting 0-1) | majoritarian / semi-proportional | No | single-winner /multi-winner | candidate | plurality | score ballot(cardinal voting) | N/A | |
| Borda count | majoritarian / semi-proportional | No | single-winner /multi-winner | candidate | plurality | ranked choice (ordinal voting) | N/A | ||
| 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) | N/A | |
| Party-list proportional representation
list-PR |
Largest remainderHighest averagesBinomial voting | semi-proportional / proportional | No | multi-winner | list (+ candidate, if open list) | quota or divisor method | single choice | 1 (effectively) | N/A |
| Superposition - non-compensatory combination of FPTP + List-PR
(Supplementary member system) |
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) | 2 |
| Seat-linkage compensatory combination of FPTP + List-PR | 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) | 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 | list or candidate | plurality | single choice | 1 | 1 |
List of electoral systems used for national elections
| Electoral system for national legislatures
(lower house or unicameral) |
|---|
|
Majoritarian representation (winner-take-all) Semi-proportional representation (non-mixed) No election (e.g. Monarchy)
|
See also
- Comparison of electoral systems
- Sortition
- Indirect voting
- Liquid democracy
References
- ↑ "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.
- ↑ George Howatt, Democratic Representation under the Hare-Clark System – The Need for Seven-Member Electorates
- ↑ "How RCV Works". https://www.fairvote.org/how_rcv_works.
- ↑ 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.
- ↑ "Alternative Vote" (in en-US). https://www.electoral-reform.org.uk/voting-systems/types-of-voting-system/alternative-vote/.
- ↑ FairVote.org. "Ranked Choice Voting / Instant Runoff". https://www.fairvote.org/rcv.
- ↑ Pacuit, Eric (3 August 2011). Voting Methods. https://plato.stanford.edu/archives/fall2019/entries/voting-methods/. Retrieved 11 June 2022.
- ↑ "Two-Round System". https://www.electoral-reform.org.uk/voting-systems/types-of-voting-system/two-round-system/.
- ↑ Brams, Steven; Fishburn, Peter (1978). "Approval Voting". American Political Science Review 72 (3): 831–847. doi:10.2307/1955105.
- ↑ "Parallel —". https://aceproject.org/main/english/es/ese01.htm.
- ↑ "Additional-member system: Politics". Encyclopædia Britannica. http://www.britannica.com/topic/additional-member-system. Retrieved 24 March 2016.
- ↑ 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.
- ↑ Golosov, G. V. (2013). "The Case for Mixed Single Vote Electoral Systems". The Journal of Social, Political, and Economic Studies.
- ↑ 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.
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