Mixed electoral system


A mixed electoral system is one that uses different electoral systems to elect different seats in a legislature. Most often, this involves a First Past the Post combined with a proportional component. The results of the combination may be proportional representation|mixed-member proportional], where the overall results of the elections are proportional, or mixed-member majoritarian, in which case the overall results are semi-proportional, retaining disproportionalities from the majoritarian component. Systems that use multiple types of combinations are sometimes called supermixed.
Mixed-member systems also often combine local representation with regional or national representation, having multiple tiers. This also means voters often elect different types of representatives who might have different types of constituencies. Some representatives may be elected by personal elections where voters vote for candidates, and some by list elections where voters vote for electoral lists of parties.
In most mixed systems, every voter can influence both the district-based and PR aspects of an election, such as under parallel voting; however, some countries have multiple coexisting electoral systems that each apply to different voters.

Types of mixed systems

Compensatory/non-compensatory seat allocation

A major distinction is often made between mixed compensatory systems and mixed non-compensatory systems. In both types of systems, one set of seats is allocated using a plurality or majoritarian method, usually first past the post. The remaining seats are allocated to political parties partially or wholly based on a proportional allocation method such as highest averages or largest remainder. The difference is whether or not the results of the district elections are considered when allocating the PR seats.
In mixed non-compensatory systems, such as parallel voting, the proportional allocation is performed independently of the district election component.
In mixed compensatory systems, the allocation of the top-up seats is done in such a way as to compensate as much as possible for dis-proportionality produced by the district elections. MMP generally produces proportional election outcomes, meaning that a political party that wins n percent of the vote will receive roughly n percent of the seats.
The following hypothetical example based on the one by Massicotte illustrates how "top-up" PR seats are typically allocated in a compensatory system and in a non-compensatory system. The example assumes a 200-seat legislative assembly where 100 seats are filled using FPTP and the other 100 seats are awarded to parties using a form of PR. The table below gives the popular vote and FPTP results. The number of PR seats allocated to each party depends on whether the system is compensatory or non-compensatory.
In non compensatory system, each party wins its proportional share of the 100 PR seats. Under such a system, the total number of seats received by each party would not be proportional to its share of the popular vote. Party A receives just slightly less of the popular vote than Party B, but receives significantly more seats. In addition to its success in the district contests, Party A receives almost as many of the PR seats as Party B.
If the PR seats are allocated in a compensatory system, the total number of seats awarded to each party is proportional to the party's share of the popular vote. Party B wins 33 of the district seats and its proportional share of the 200 seats being filled is 80 seats so it is awarded 47 of the PR seats.
In practice, compensatory seat allocation is complicated by the possibility that one or more parties wins so many of the district seats that the available number of PR seats is insufficient to produce a fully proportional outcome. Some mixed compensatory systems have rules that address these situations by adding additional PR seats to achieve overall PR. These seats are used only until the next election, unless needed again at that time.
The two common ways compensation occurs are seat linkage compensation and vote linkage compensation. Like a non-compensatory mixed system, a compensatory mixed system may be based on the mixed single vote or it may be based on voters casting two separate votes.

Types of combinations

Apart from the compensatory/non-compensatory typology, a more detailed classification is possible based on how component systems relate to each other, according to academic literature. Below is a table of different categories of mixed electoral systems based on the five main types identified by Massicotte & Blais. According to their terminology, methods of compensation are referred to as compensation is referred to as correction, while another type of dependent combination exists, called the conditional relation between sub-systems. Meanwhile, independent combinations mixed systems might have both local and national/regional tiers, but some have only one at-large tier, like the majority bonus system or only a single tier for local/regional representation.
There are also supermixed systems, like rural-urban proportional, which is a hybrid mixed system that uses two tiers: the lower tier uses a proportional system, like list-PR or STV, in urban regions, and the upper tier uses MMP either in rural regions alone or in all regions.
CombinationTypeAttributesSystemExample for use
Independent combinationFusionTwo formulas are used within each district Majority bonus France, French Polynesia
Independent combinationCoexistence Different districts use different systems in one tiere.g. FPTP/SMP in single-member districts, list-PR in multi-member districtsDemocratic Republic of the Congo, Panama
Independent combinationSuperpositionDifferent tiers use different systemsParallel voting Lithuania, Russia
Independent combinationSuperpositionDifferent tiers use different systemsSingle vote mixed-member majoritarian Italy, Pakistan
Dependent combinationCorrection (compensation)One formula uses the results of other to compensateSeat linkage mixed system with partial correction for overhang seats:
New Zealand's mixed-member proportional representation 		New Zealand
Dependent combinationCorrection (compensation)One formula uses the results of other to compensateSeat linkage mixed system with no correction for overhang seats:
UK Additional member system - a less proportional version of MMP		Scotland
Dependent combinationCorrection (compensation)One formula uses the results of other to compensateSingle vote with seat linkage Lesotho
Dependent combinationCorrection (compensation)One formula uses the results of other to compensateSingle vote with compensatory vote transfer Hungary
Dependent combinationConditionalOutcome of one formula determines the other formulae.g. conditional party block voting: party that receives more than 50%, gets all seats otherwise all seats distributed proportionally-
Combination of combinationsSupermixedSuperposition + correctionScorporo / negative vote transfer, Parallel voting + PVTHungary
Combination of combinationsSupermixedSuperposition + correctionParallel voting + seat linkageSouth Korea
Combination of combinationsSupermixedSuperposition + fusionNational plurality bonus in regional list-PRGreece
Combination of combinationsSupermixedSuperposition + coexistencee.g. some elected by PR in single national district, some are elected locally by pluralityEcuador
Combination of combinationsSupermixedCoexistence + conditionale.g. FPTP/SMP in single-member districts, conditional party block voting in multi-member districtsCameroon, Chad
Combination of combinationsSupermixedCoexistence + correctionRural-urban proportional representation Denmark, Iceland
Combination of combinationsSupermixedConditional + correction + fusionMajority jackpot systems, particularly two-round variantsArmenia, San Marino
Combination of combinationsSupermixedFusion + correctionDual-member proportional representation -

In a hybrid system, different electoral formulas are used in different contexts. These may be seen in coexistence, when different methods are used in different regions of a country, such as when FPTP is used in single-member districts and list-PR in multi-member districts, but every voter is a member of only one district. Some hybrid systems are generally not referred to as mixed systems, such as when as FPTP districts are the exception and list-PR is the rule, the overall system is usually considered proportional. Similarly, when FPTP is in single-member districts and used block voting is used in multi-member districts, the system is referred to as a majoritarian one, as all components are majoritarian. Most mixed systems are not referred to as hybrid systems

Mixed-member majoritarian and mixed-member proportional

Another distinction of mixed electoral systems is between mixed-member proportional representation and mixed-member majoritarian representation.

Parallel voting

Parallel voting is a mixed non-compensatory system with two tiers of representatives: a tier of single-member district representatives elected by a plurality/majoritarian method such as FPTP/SMP, and a tier of regional or at-large representatives elected by a separate proportional method such as party list PR. It is used for the first chamber in many countries including Japan and Russia.
This type of parallel voting provides semi-proportional results, but is often referred to as mixed-member majoritarian representation, as the lack of compensation means each party can keep all the overhang seats it might win on the majoritarian side of the electoral system.

Seat linkage compensatory systems

Like parallel voting, MMP and AMS also have a tier of district representatives typically elected by FPTP, and a tier of regional or at-large representatives elected by PR. Unlike parallel voting, MMP and AMS are mixed compensatory systems, meaning that the PR seats are allocated in a manner that corrects disproportionality caused by the district tier. MMP corrects disproportionalities by adding as many leveling seats as needed, this system is used by Germany and New Zealand.
A type of MMP used in the UK which does not always yield proportional results, but sometimes only "mixed semi-proportional representation" is called the additional member system. If the fixed number of compensatory seats are enough to compensate the results of the majoritarian FPTP/SMP side of the election, AMS is equivalent to MMP, but if not, AMS does not compensate for remaining overhang seats. The AMS models used in parts of the UK, with small regions with a fixed number of seats tend to produce only moderately proportional election outcomes.
In Lesotho, where a single vote versions seat linkage us used with a relatively large number of compensatory seats, results are usually proportional.
AV+ is a mixed compensatory system similar to the additional member system, with the notable difference that the district seats are awarded using the alternative vote. The system was proposed by the Jenkins Commission as a possible alternative to FPTP for elections to the Parliament of the United Kingdom.
Dual member mixed proportional is a mixed compensatory system using the same principle as more common variants of MMP, except that the plurality and PR seats are paired and dedicated to dual-member districts. Proposed as an alternative to FPTP for Canadian elections, DMP appeared as an option on a 2016 [Prince Edward Island electoral reform referendum|2016 plebiscite] in Prince Edward Island and a 2018 [British Columbia electoral reform referendum|2018 referendum] in British Columbia.

Vote linkage compensatory systems

Vote linkage compensatory systems are an alternative to seat linkage compensation, currently only used in Hungary as part of a supermixed system. Such systems in use have been described as mixed member proportional, but they were more commonly between MMP and MMM in nature, or closer to mixed-member majoritarian representation, offering little compensatory power.
MBTV is a mixed compensatory type of systems similar to MSV, except voters can vote separately for a local candidate and as a transfer vote on the compensatory tier. It is different from MMP/AMS and AV+ in that there is a vote linkage between the tiers. The two parts of the dual ballot are tied in a way that only those lists votes get counted, which are on ballots that would be transfer votes in an equivalent positive vote transfer MSV system.
Scorporo is a two-tier mixed system similar to MMP in that voters have two votes, except that disproportionality caused by the single-member district tier is partially addressed through a vote transfer mechanism. Votes that are critical to the election of district-winning candidates are excluded from the PR seat allocation, for this reason the method used by scorporo is referred to as a negative vote transfer system. The system was used in Italy from 1993 to 2005

Majority bonus and majority jackpot systems

Electoral systems with a majority bonus or jackpot have been referred to as "unconventional mixed systems", which fall into the mixed-member majoritarian type, but they may be compensatory or non-compensatory. Employed by Armenia, Greece, and San Marino, as well as Italy from 2006 to 2013, majority bonuses help the most popular party or alliance win a majority of the seats with a minority of the votes, similar in principle to plurality/majoritarian systems. However, PR is used to distribute the rest of seats and possibly within the governing alliance.

Number of votes

Double vote

Most mixed systems allow voters to cast separate votes for different formulas of the electoral system, including:
  • Parallel voting
  • Most "MMP" systems
  • AV+
  • Scorporo

Mixed single vote (MSV)

MSV is a type of mixed systems using only a single vote that serves both as a vote for a local candidate and as a party list vote, split ticket voting is not possible. The system was used in Germany in a mixed proportional system, and is currently used in Hungary as a semi-proportional system as well as Italy in a non-compensatory system. Other mixed systems using a single vote include majority bonus/jackpot systems and DMP.
Other systems that are usually considered mixed, which use a single vote are:
  • Majority bonus and jackpot
  • DMP
The RUP systems formerly used in Denmark and Iceland used a single vote, applicable both for the lower-tier constituencies - FPTP in the rural single-member constituencies, and list PR in the urban multi-member constituencies - and for the upper-tier national leveling seats. The implementation of RUP proposed in Canada foresees urban multi-member districts that use a single transferable vote, alongside single-member rural districts that are grouped in large multi-member regions; the rural districts and their corresponding regions.

Double simultaneous vote (DSV)

A simultaneous vote is a single vote that used in more than one elections held at once, which means it is not a typically regarded as a mixed system.

List of countries using mixed systems

The table below lists the countries that use a mixed electoral system for the primary chamber of the legislature. Countries with coexistence-based hybrid systems have been excluded from the table, as have countries that mix two plurality/majoritarian systems.

Former use