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Party-list proportional representation
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.

In these systems, parties provide lists of candidates to be elected, or candidates may declare their affiliation with a political party (in some open-list systems). Seats are distributed by election authorities to each party, in proportion to the number of votes the party receives. Voters may cast votes for parties, as in Spain, Turkey, and Israel (closed lists); or for candidates whose vote totals are pooled together to parties, as in Finland, Brazil, and the Netherlands (mixed single vote or panachage).

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Voting

In most party list systems, a voter will only support one party (a choose-one ballot). Open list systems may allow voters to support more than one candidate within a party list. Some open-list systems allow voters to support different candidates across multiple lists, which is called panachage.

Selection of party candidates

The order in which a party's list candidates get elected may be pre-determined by some method internal to the party or the candidates (a closed list system) or it may be determined by the voters at large (an open list system) or by districts (a local list system).

Closed list

Main article: Closed list

In a closed list system, each political party has pre-decided who will receive the seats allocated to that party in the elections, so that the candidates positioned highest on this list will always get a seat in the parliament while the candidates positioned very low on the closed list will not. Voters vote only for the party, not for individual candidates.

Open list

Main article: Open list

An open list describes any variant of a party-list where voters have at least some influence on the order in which a party's candidates are elected. Open lists can be anywhere from relatively closed, where a candidate can move up a predetermined list only with a certain number of votes, to completely open, where the order of the list completely depends on the number of votes each individual candidate gets.4

Apportionment of party seats

Many variations on seat allocation within party-list proportional representation exist. Different apportionment methods may favor smaller or larger parties:5

The apportionment methods can be classified into two categories:

While the allocation formula is important, equally important is the district magnitude (number of seats in a constituency). The higher the district magnitude, the more proportional an electoral system becomes, with the most proportional results being when there is no division into constituencies at all and the entire country is treated as a single constituency. In some countries the electoral system works on two levels: at-large for parties, and in constituencies for candidates, with local party-lists seen as fractions of general, national lists. In this case, magnitude of local constituencies is irrelevant, seat apportionment being calculated at national level.

List proportional representation may also be combined with other apportionment methods in various mixed systems, using either additional member systems or parallel voting.

Example

Below it can be seen how different apportionment methods yield different results when apportioning 100 seats. Here, parties B and A are

Webster's method yields the same result (though this is not always the case). Otherwise, all other methods give a different number of seats to the parties.

Notice how the D'Hondt method breaks the quota rule (shown in red text) and favors the largest party by "rounding" an ideal apportionment of 35.91 up to 37.

Adams' method greatly favors smaller parties, giving 2 seats to the smallest party, and would give at least 1 seat to every party receiving at least one vote.

PartyVotesEntitlementLargest remaindersHighest averages
HareDroop quotaD'Hondt (Jefferson)Sainte-Laguë (Webster)Huntington-HillAdams
votes seats {\displaystyle {\frac {\text{votes}}{\text{seats}}}} votes seats + 1 {\displaystyle {\frac {\text{votes}}{{\text{seats}}+1}}} votes seats + 1 {\displaystyle {\frac {\text{votes}}{{\text{seats}}+1}}} votes seats + 0.5 {\displaystyle {\frac {\text{votes}}{{\text{seats}}+0.5}}} votes seats ( seats + 1 ) {\displaystyle {\frac {\text{votes}}{\sqrt {{\text{seats}}({\text{seats}}+1)}}}} votes seats {\displaystyle {\frac {\text{votes}}{\text{seats}}}}
A101735.91363637363635
B100035.31353636353534
C38313.52141313141314
D32711.55121211121212
E632.22222223
F421.48111122
Total2832100 seats100100100100100100

Electoral threshold

Main article: Electoral threshold

List of countries using party-list proportional representation

The table below lists countries that use a proportional electoral system to fill a nationally elected legislative body. Detailed information on electoral systems applying to the first chamber of the legislature is maintained by the ACE Electoral Knowledge Network.78 Countries using PR as part of a parallel voting (mixed-member majoritarian) or other mixed system (e.g. MMP) are not included.

CountryLegislative bodyList typeVariation of open lists

(if applicable)

Apportionment methodElectoral thresholdConstituenciesGovernmental systemNotes
AlbaniaParliament (Kuvendi)Open listd'Hondt method4% nationally or 2.5% in a districtCountiesParliamentary republic
AlgeriaPeople's National AssemblyOpen listHare quota5% of votes in respective district.9Semi-presidential republic
AngolaNational AssemblyClosed listd'Hondt method5 member districts and nationwideParliamentary republic with an executive presidencyDouble simultaneous vote use to elect the President and the National Assembly at the same election.
ArgentinaChamber of DeputiesClosed listd'Hondt method3% of registered votersProvincesPresidential republic
ArmeniaNational AssemblyOpen listD'Hondt method5% (parties), 7% (blocs)Parliamentary republicParty lists run-off, but only if necessary to ensure stable majority of 54% if it is not achieved either immediately (one party) or through building a coalition.1011 If a party would win more than 2/3 seats, at least 1/3 seats are distributed to the other parties.
Closed list
ArubaParliamentOpen listD'Hondt method
AustriaNational CouncilOpen listMore open:14% on the district level (among votes for the candidates party)Hare quota4%Single-member districts within federal states (Länder)Semi-presidential republic
Open listMore open:

10% on the regional (state) level (among votes for the candidates party)

Hare quotaFederal states (Länder)
Open listMore open: 7% of the on the federal level (among votes for the candidates party)d'Hondt methodSingle federal (nationwide) constituency
BelgiumChamber of RepresentativeOpen listD'Hondt method5%ConstituenciesConstitutional monarchy
BéninNational AssemblyClosed listLargest remainder method10%ConstituenciesPresidential republic
BoliviaChamber of SenatorsClosed listd'Hondt methodDepartmentsPresidential republicBallots use the double simultaneous vote: voters cast a single vote for a presidential candidate and their party's list and local candidates at the same time (vote splitting is not possible/allowed)
Bosnia and HerzegovinaHouse of RepresentativeOpen listSainte-Laguë methodParliamentary directorial republic
BrazilChamber of DeputiesOpen listD'Hondt method2% distributed in at least 9 Federation Units with at least 1% of the valid votes in each one of themStates and Federal DistrictPresidential republic
BulgariaNational AssemblyOpen listHare quota4%ConstituenciesParliamentary republic
Cape VerdeClosed list
ChileOpen list
ColombiaChamber of RepresentativesClosed listUnitary presidential republic
SenateClosed list
Costa RicaClosed list
CroatiaOpen list5%
CyprusOpen list
Czech RepublicOpen list5%
DenmarkOpen list2%
Dominican RepublicClosed list
EcuadorNational CongressClosed listSainte-Laguë method
El SalvadorLegislative AssemblyOpen listD'Hondt method
EstoniaOpen list5%
Faroe Islands
FijiOpen list5%
FinlandOpen list
GermanyBundestagLocalized listSeparate vote for candidatesOnly first place candidate may win seat (but not guaranteed to)5% or 3 constituencies, first place for independents (only in constituencies)Constituencies (single-member)Federal parliamentary republicThe system was recently modified to an essentially (non-mixed) closed list proportional system with a local constituency vote to eliminate the need for overhang seats. In the new system, the number of seats a party can win is capped, if they "won" more seats by plurality, not all of their winners will be elected.12
Closed listSainte-Laguë methodFederal states (Länder)
GreenlandOpen list
GuatemalaClosed list
GuyanaClosed list
HondurasOpen list
IcelandOpen list
IndonesiaHouse of RepresentativeOpen listSainte-Laguë method4%3 to 10 members constituenciesPresidential system
IsraelClosed list3.25%
KosovoOpen listSainte-Laguë method
LatviaOpen listSainte-Laguë method5%
LebanonOpen list
LiechtensteinOpen list8%
LuxembourgChamber of DeputiesOpen listPanachage (number of votes equal to the number of members elected)d'Hondt methodNo de jure thresholdFour multi-member constituencies, ranging from 7 to 23 membersParliamentary system
MacedoniaClosed list
MoldovaParliamentClosed listd'Hondt method5% (party), 7% (electoral block), 2% (independent)13None(single nationwide constituency)Unitary parliamentary republic
MontenegroClosed list3%
NamibiaClosed list
NetherlandsHouse of RepresentativesOpen listMore open(25% of the quota to override the default party-list)d'Hondt methodNo de jure threshold, but an effective threshold of 0.67% (1/150) for a seatNone(single nationwide constituency)Parliamentary system
NorwayParliament (Storting)Open listDe facto Closed list (50% of votes to override)Sainte-Laguë method4%
ParaguayClosed list
PeruClosed list5%
PolandSejmOpen listd'Hondt method5% threshold or more for single parties, 8% or more for coalitions or 0% or more for minorities41 multi-member constituencies, ranging from 7 to 20 membersSemi-presidential republic|
PortugalAssembly of the RepublicClosed listd'Hondt methodNo thresholdSemi-presidential republic
RomaniaClosed list
San MarinoOpen list3.5%If needed to ensure a stable majority, the two best-placed parties participate in a run-off vote to receive a majority bonus.
São Tomé and PríncipeClosed list
SerbiaClosed list3%
Sierra Leone
Sint MaartenOpen list
SlovakiaOpen list5%
SloveniaOpen listLargest remainder (Droop quota)4%
d'Hondt method4%
South AfricaClosed list
SpainCongress of DeputiesClosed listd'Hondt method3%Provinces of SpainParliamentary system
Sri LankaParliamentOpen list(for 196/225 seats)Panachage(up to 3 preference votes)14d'Hondt method5%(per constituency)ConstituenciesSemi-presidential system
Closed list(for 29/225 seats)?No thresholdNone(single nationwide constituency)
SurinameNational AssemblyOpen listMost opend'Hondt methodNo thresholdDistricts of SurinameAssembly-independent republic
SwedenRiksdagOpen listMore open(5% of the party vote to override the default party-list)15Sainte-Laguë method (leveling seats)4% nationally or 12%in a given constituencyCounties of Sweden(some counties are further subdivided)Parliamentary system
SwitzerlandNational CouncilOpen listPanachageHagenbach-Bischoff systemNo thresholdCantons of SwitzerlandSemi-direct democracy under an assembly-independent1617 directorial republic
Timor-LesteOpen list
TunisiaAssembly of the Representatives of the PeopleClosed listLargest remainder methodNo thresholdConstituenciesSemi-presidential system
TurkeyGrand National AssemblyClosed listd'Hondt method7%. No threshold for independent candidates.Provinces of Turkey(some provinces are further subdivided)Presidential system
UruguayChamber of RepresentativesClosed listd'Hondt methodNo thresholdDepartments of UruguayPresidential systemBallots use the double simultaneous vote, the same ballot is used for electing the president (first round) and the two chambers
Chamber of SenatorsNone(single nationwide constituency)
WalesSeneddClosed listd'Hondt methodNo threshold

Authoritarian regimes

CountryLegislative bodyList typeApportionment methodElectoral thresholdConstituenciesGovernmental systemNotes
Burkina FasoNational AssemblyClosed listConstituenciesSemi-presidential republic
BurundiNational AssemblyClosed listD'Hondt method2%ConstituenciesPresidential republic
CambodiaNational AssemblyClosed listD'Hondt methodConstituenciesConstitutional monarchy
Equatorial GuineaChamber of DeputiesClosed list10%ConstituenciesPresidential republic
SenateClosed listConstituencies
Guinea-BissauNational People's AssemblyClosed listSemi-presidential republic
MozambiqueClosed list
RwandaClosed list
TogoNational AssemblyClosed listHighest averages methodNo thresholdConstituenciesPresidential system

See also

  • Politics portal

References

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  2. "Proportional Representation Open List Electoral Systems in Europe" (PDF). International Foundation for Electoral Systems. Archived from the original (PDF) on 2014-12-24. https://web.archive.org/web/20141224074108/http://www.ifes.org/~/media/Files/Publications/White%20PaperReport/2009/Proportional_Representation_Open_List_Electoral_Systems_Europe.pdf

  3. "Système électoral du Grand-Duché de Luxembourg(fr)". elections.public.lu. http://www.elections.public.lu/fr/systeme-electoral/index.html

  4. Smrek, Michal. "Mavericks or Loyalists? Popular Ballot Jumpers and Party Discipline in the Flexible-List PR Context". Political Research Quarterly. 76 (1): 323–336. doi:10.1177/10659129221087961. /wiki/Political_Research_Quarterly

  5. Benoit, Kenneth. "Which Electoral Formula Is the Most Proportional? A New Look with New Evidence" (PDF). Archived from the original (PDF) on 2010-06-24. https://web.archive.org/web/20100624102008/http://polmeth.wustl.edu/analysis/vol/8/PA84-381-388.pdf

  6. Wilson, Helen J. "The D'Hondt Method Explained" (PDF). http://www.ucl.ac.uk/~ucahhwi/dhondt.pdf

  7. ACE Project: The Electoral Knowledge Network. "Electoral Systems Comparative Data, World Map". Retrieved 24 October 2017. http://aceproject.org/epic-en/CDMap?question=ES005&set_language=en

  8. ACE Project: The Electoral Knowledge Network. "Electoral Systems Comparative Data, Table by Country". Retrieved 24 October 2017. http://aceproject.org/epic-en/CDTable?question=ES005&view=country&set_language=en

  9. "Final Report on Algeria's Legislative Elections" (pdf). ACE Project. National Democratic Institute. 10 May 2012. Retrieved 10 January 2015. http://aceproject.org/ero-en/regions/africa/DZ/algeria-final-report-legislative-elections-ndi/at_download/file

  10. "Armenia, Parliamentary Elections, 2 April 2017: Needs Assessment Mission Report". osce.org. Retrieved 2022-05-30. https://www.osce.org/odihr/elections/armenia/293546

  11. "DocumentView". www.arlis.am. https://www.arlis.am/DocumentView.aspx?DocID=109081

  12. Schorkopf, Frank (2023-03-24). "Abschied von Adenauer oder weshalb die Wahlrechtsreform ein Verfassungsrechtsproblem ist". Verfassungsblog (in German). doi:10.17176/20230324-185228-0. https://verfassungsblog.de/abschied-von-adenauer-oder-weshalb-die-wahlrechtsreform-ein-verfassungsrechtsproblem-ist/

  13. CODUL ELECTORAL [Electoral Code] (94) (in Romanian). Parliament Republic of Moldova. 21 November 1997. https://www.legis.md/cautare/getResults?doc_id=122633&lang=ro

  14. "Sri Lanka electors can vote for one party, three preferences in 2020 general elections: polls chief". EconomyNext. August 4, 2020. https://economynext.com/sri-lanka-electors-can-vote-for-one-party-three-preferences-in-2020-general-elections-polls-chief-72625

  15. Swedish Election Authority: Elections in Sweden: The way its done Archived 2009-02-25 at the Wayback Machine (page 16) http://www.val.se/pdf/electionsinsweden_webb.pdf

  16. Shugart, Matthew Søberg (December 2005). "Semi-Presidential Systems: Dual Executive And Mixed Authority Patterns". French Politics. 3 (3): 323–351. doi:10.1057/palgrave.fp.8200087. S2CID 73642272. https://doi.org/10.1057%2Fpalgrave.fp.8200087

  17. Elgie, Robert (2016). "Government Systems, Party Politics, and Institutional Engineering in the Round". Insight Turkey. 18 (4): 79–92. ISSN 1302-177X. JSTOR 26300453. /wiki/ISSN_(identifier)