The additional-member system (AMS) is a two-vote seat-linkage-based
mixed electoral system
A mixed electoral system is one that uses different Electoral system, electoral systems to elect different seats in a legislature. Most often, this involves a First Past the Post combined with a Proportional representation, proportional component ...
used in the
United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Northwestern Europe, off the coast of European mainland, the continental mainland. It comprises England, Scotlan ...
in which most
representatives are elected in
single-member district
A single-member district or constituency is an electoral district represented by a single officeholder. It contrasts with a multi-member district, which is represented by multiple officeholders.
In some countries, such as Australia and India ...
s (SMDs), and a fixed number of other "additional members" are elected from a
closed list
Closed list describes the variant of party-list systems where voters can effectively vote for only political parties as a whole; thus they have no influence on the party-supplied order in which party candidates are elected. If voters had some in ...
to make the seat distribution in the chamber more
proportional to the votes cast for
party lists
An electoral list is a grouping of candidates for election, usually found in proportional or mixed electoral systems, but also in some plurality electoral systems. An electoral list can be registered by a political party (a party list) or can c ...
.
It is distinct from using
parallel voting
In political science, parallel voting or superposition refers to the use of two or more Electoral system, electoral systems to elect different members of a legislature. More precisely, an electoral system is a superposition if it is a mixture o ...
for the list seats (also known as the ''supplementary-member'' system) in that the "additional member" seats are awarded to parties taking into account seats won in SMDs (referred to as ''
compensation'' or ''top-up'') – these are ignored under parallel voting (a ''non-compensatory'' method).
AMS is the name given to a particular system used in the United Kingdom that aims to provide
proportional representation
Proportional representation (PR) refers to any electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to political divisions (Political party, political parties) amon ...
. However, in theory it can fail to be proportional, a situation called a
seat overhang. In practice, the proportionality of AMS depends on the number of additional ("top-up") seats and the votes cast in a specific election. In parts of the United Kingdom where it is or was used, it has produced results closer to
mixed-member proportional
Mixed-member proportional representation (MMP or MMPR) is a type of representation provided by some mixed electoral systems which combine local winner-take-all elections with a compensatory tier with party lists, in a way that produces pr ...
rather than
mixed-member majoritarian representation
Mixed-member majoritarian representation (MMM) is type of a mixed electoral system combining winner-take-all and proportional methods, where the disproportional results of the winner-take-all part are dominant over the ''proportional'' compon ...
.
This article focuses on the use of the AMS in the United Kingdom. The AMS is used to elect the
Scottish Parliament
The Scottish Parliament ( ; ) is the Devolution in the United Kingdom, devolved, unicameral legislature of Scotland. It is located in the Holyrood, Edinburgh, Holyrood area of Edinburgh, and is frequently referred to by the metonym 'Holyrood'. ...
(in a regionalized top-up system) and the
London Assembly
The London Assembly is a 25-member elected body, part of the Greater London Authority, that scrutinises the activities of the Mayor of London and has the power, with a two-thirds supermajority, to amend the Mayor's annual budget and to reject t ...
(with at-large top-up seats), and up until the 2026 election, the
Senedd
The Senedd ( ; ), officially known as the Welsh Parliament in English and () in Welsh, is the devolved, unicameral legislature of Wales. A democratically elected body, Its role is to scrutinise the Welsh Government and legislate on devolve ...
in Wales.
How AMS works

In an election using the additional member system, each voter casts two votes: a vote for a candidate standing in their local constituency (with or
without an affiliated party), and a vote for a
party list
An electoral list is a grouping of candidates for election, usually found in proportional or mixed electoral systems, but also in some plurality electoral systems. An electoral list can be registered by a political party (a party list) or can c ...
standing in a wider region made up of multiple constituencies (or a single nationwide constituency). In Scotland
list members ("top-up" seats) are elected by region; in London there is a single London-wide pooling of list votes.
Voters are not required to vote for the same party in the constituency and regional votes. If a voter votes for different parties at the constituency and regional levels this is referred to as
split-ticket voting
Split-ticket voting or ticket splitting is when a voter in an election votes for candidates from different political party, political parties when multiple political office, offices are being decided by a single election, as opposed to straight- ...
. In the regional vote, the voter votes for a specific party, but has no control over which candidates from the party are elected. On the other hand, in the constituency vote, the voter votes for a specific candidate rather than a party.
Counting votes and allocating seats
The first vote is used to elect a member from their constituency under the
"first-past-the-post" first-preference plurality (FPP) system (i.e. in the constituency, the candidate with the most votes takes the seat).
The second vote is used to determine how many additional seats a party may get, which is based on how many seats a party should get in total. Parties receive additional seats to match the vote shares they received as close as possible, making the legislature more representative of voters' preferences.
In the model of the AMS as used in the United Kingdom, the regional seats are divided using a
D'Hondt method
The D'Hondt method, also called the Jefferson method or the greatest divisors method, is an apportionment method for allocating seats in parliaments among federal states, or in proportional representation among political parties. It belongs to ...
. However, the number of seats already won in the local constituencies is taken into account in the calculations for the list seats, and the first average taken in account for each party follows the number of FPTP seats won. For example, if a party won 5 constituency seats, then the first D'Hondt divisor taken for that party would be 6 (5 seats + 1), not 1. In
South Korea
South Korea, officially the Republic of Korea (ROK), is a country in East Asia. It constitutes the southern half of the Korea, Korean Peninsula and borders North Korea along the Korean Demilitarized Zone, with the Yellow Sea to the west and t ...
, which uses the
largest remainder method Party-list proportional representation
Apportionment methods
The quota or divide-and-rank methods make up a category of apportionment rules, i.e. algorithms for allocating seats in a legislative body among multiple groups (e.g. parties or f ...
, constituency seats are taken into account by subtracting the number of constituency seats that the party won from the number of seats initially won by the party proportionally (over all seats).
Example
In a 100 seat assembly 70 members are elected in single-member constituencies. Because the system generally favours the largest party and those parties/candidate that are strong in a particular region, the total result of the constituency (FPP) elections can be very disproportional. In this example, the party with a
plurality
Plurality may refer to:
Law and politics
* Plurality decision, in a decision by a multi-member court, an opinion held by more judges than any other but not by an overall majority
* Plurality (voting), when a candidate or proposition polls more ...
in the popular vote (party A) won a majority of all seats (54), while the second largest party (B) only won 11 districts. One of the two smaller parties (party C) won no districts, despite having 13% support nationwide, but a smaller (regional) party with only 3% nationally did get 5 of their candidates elected, as their voters were concentrated in those constituencies.
In the example, additional seats are assigned on a nationwide level. Parties A and D are already overrepresented, so they are not entitled to additional seats. Parties B and C receive top-up seats, as there are only 30, this is not enough to make the results proportional.
Compared to similar systems
If the 30 additional seats in the example were allocated independently by list-PR the system would be called
parallel voting
In political science, parallel voting or superposition refers to the use of two or more Electoral system, electoral systems to elect different members of a legislature. More precisely, an electoral system is a superposition if it is a mixture o ...
or a ''supplementary member'' system. This would be a
mixed-member majoritarian system (MMM), under which even party A received additional seats, even though it is overrepresented even without getting any.
Some systems called
mixed-member proportional systems (MMP), like the ones used for electing the national parliament
New Zealand
New Zealand () is an island country in the southwestern Pacific Ocean. It consists of two main landmasses—the North Island () and the South Island ()—and List of islands of New Zealand, over 600 smaller islands. It is the List of isla ...
, at least partially compensate for
overhang seats as well, by adding back that many seats to the assembly if needed, but this is not a perfect correction for the disproportionality. In
Germany
Germany, officially the Federal Republic of Germany, is a country in Central Europe. It lies between the Baltic Sea and the North Sea to the north and the Alps to the south. Its sixteen States of Germany, constituent states have a total popu ...
formerly even
more seats were adding to the Bundestag, to get fully proportional results, but as per the latest reform, parties simply may not keep overhang seats, meaning they might not be able to keep all constituency seats they "won" in.
In this example, the assembly size would be increased by 13 seats to compensate for parties B and C's seat deficits under the New Zealand type 'MMP', and by 65 (which allows parties A, B and C to receive more seats) under a flexible amount of additional leveling seats.
The additional member system might provide
proportional representation
Proportional representation (PR) refers to any electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to political divisions (Political party, political parties) amon ...
when there are no overhang seats that would need to be compensated; in this case it would have the same outcome as other 'MMP' systems, if the results of the FPTP elections were completely proportional (which is almost never the case in reality). If decoy lists and tactical voting were used (see below), the results under the AMS would be the same as under parallel voting.
In all other cases the AMS is more proportional than parallel voting, but sometimes less proportional than 'MMP' in New Zealand.
Threshold
As in many systems containing or based upon
party-list representation, in order to be eligible for list seats in some AMS models, a party must earn at least a certain percentage of the total party vote, or no candidates will be elected from the party list. Candidates having won a constituency will still have won their seat. In almost all elections in the UK there are no thresholds except the "effective threshold" inherent in the regional structure. However the elections for the
London Assembly
The London Assembly is a 25-member elected body, part of the Greater London Authority, that scrutinises the activities of the Mayor of London and has the power, with a two-thirds supermajority, to amend the Mayor's annual budget and to reject t ...
have a threshold of 5% which has at times denied seats to the
Christian Peoples Alliance
The Christian Peoples Alliance (CPA) is a minor Christian right political party in the United Kingdom. The party was founded in its present form in 1999, having grown out of a cross-party advocacy group called the Movement for Christian Democrac ...
(in
the 2000 election), the
British National Party
The British National Party (BNP) is a Far-right politics, far-right, British fascism, fascist list of political parties in the United Kingdom, political party in the United Kingdom. It is headquartered in Wigton, Cumbria, and is led by Adam ...
,
Respect – The Unity Coalition (both in
the 2004 election), and the
Women's Equality Party (in
the 2016 election).
Definitions and variations of AMS
AMS vs. MMP
AMS is used by some as another term to mean the broadly same type of system called
mixed-member proportional representation
Mixed-member proportional representation (MMP or MMPR) is a type of representation provided by some mixed electoral system, mixed electoral systems which combine local Winner-take-all system, winner-take-all elections with a Compensation (el ...
(MMP) in New Zealand. As the term additional member system is used here, AMS is unlike some MMP systems more true to its name, because it does not compensate for the disproportionate results caused by a party taking so many district seats that the fixed number of top-up seats cannot compensate. Such is the case where the leading party takes
overhang seats and the legislature has a fixed number of seats. In 'true' MMP systems,
leveling seats (extra additional members) are filled in such a way as to ensure parties have proportional representation, but not in the AMS as used in the UK.
Due to the problem of district contests electing too many members for leading parties (overhang), the AMS systems discussed here, instead of producing fully proportional results, often produce only
semi-proportional representation
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. Se ...
. However, even semi-proportional representation is a considered by some a great advance on an electoral system that uses only the
first-past-the-post
First-past-the-post (FPTP)—also called choose-one, first-preference plurality (FPP), or simply plurality—is a single-winner voting rule. Voters mark one candidate as their favorite, or First-preference votes, first-preference, and the cand ...
voting system, where the number of seats a party takes only vaguely reflects the number of votes that party receives.
The term ''additional member system'', as introduced by the
Hansard Society
The Hansard Society was formed in the United Kingdom in 1944 to promote parliamentary democracy. Founded and chaired by Commander Stephen King-Hall, the first subscribers were Winston Churchill and Clement Attlee. The society's co-presidents a ...
, has been confused in the literature with the term ''mixed member proportional'' ''representation'' (in the broader sense) coined by
New Zealand
New Zealand () is an island country in the southwestern Pacific Ocean. It consists of two main landmasses—the North Island () and the South Island ()—and List of islands of New Zealand, over 600 smaller islands. It is the List of isla ...
's
Royal Commission on the Electoral System (1984–1986).
The term AMS has been conflated also with
parallel voting
In political science, parallel voting or superposition refers to the use of two or more Electoral system, electoral systems to elect different members of a legislature. More precisely, an electoral system is a superposition if it is a mixture o ...
, which is not a compensatory system and in New Zealand was offered under the name ''supplementary member system''. AMS has also been used to mean any system with additional members (both parallel voting and compensatory systems), therefore any two-tiered mixed system with first-past-the-post and additional list members. This is also why some unconventional systems, such as
scorporo
''Scorporo'' (, ) is a partially compensatory, mixed-member majoritarian electoral system, sometimes referred to as a negative vote transfer system (NVT) whereby a portion of members are elected in single-member districts (SMDs) and a portion ...
have also occasionally been described as 'additional member systems', although with compensatory systems this was also reinforced by the conflation of compensatory mixed systems and mixed-member proportional representation in general.
Variations of AMS

The
Arbuthnott Commission recommended that Scotland change to a model where the voter can vote for a specific regional candidate as well (called an ''
open list
Open list describes any variant of party-list proportional representation where voters have at least some influence on the order in which a Political party, party's candidates are elected. This is as opposed to closed list, in which party lists ...
''), but this has not been implemented. A similar system is used in
Bavaria
Bavaria, officially the Free State of Bavaria, is a States of Germany, state in the southeast of Germany. With an area of , it is the list of German states by area, largest German state by land area, comprising approximately 1/5 of the total l ...
, where the second vote is not simply for the party but for one of the candidates on the party's regional list and both votes count for party and candidates so that every vote counts twice (Bavaria uses seven regions for this purpose). In
Baden-Württemberg
Baden-Württemberg ( ; ), commonly shortened to BW or BaWü, is a states of Germany, German state () in Southwest Germany, east of the Rhine, which forms the southern part of Germany's western border with France. With more than 11.07 million i ...
there are no lists; they use the "best near-winner" method (
Zweitmandat) in a four-region model, where the regional members are the local candidates of the under-represented party in that region who received the most votes in their local constituency without being elected in it, but this model has not been copied in the United Kingdom.
To produce more proportional results without increasing the number of seats in the chamber, reforms might include changing the way district members are elected. If STV or
SNTV is used, the district elections are likely to be more proportional than if districts seats are filled through
first-preference plurality
First-past-the-post (FPTP)—also called choose-one, first-preference plurality (FPP), or simply plurality—is a single-winner voting rule. Voters mark one candidate as their favorite, or first-preference, and the candidate with more first- ...
(FPP), and thus the available top-up seats could be used to produce more proportional overall chamber composition.
Strategic manipulation and tactical voting
Decoy lists
So-called "
decoy list
Mixed-member proportional representation (MMP or MMPR) is a type of representation provided by some mixed electoral systems which combine local winner-take-all elections with a compensatory tier with party lists, in a way that produces pr ...
s" are a trick to unhinge the compensation mechanisms contained into the proportional part of the AMS, so to ''de facto'' establish a
parallel voting
In political science, parallel voting or superposition refers to the use of two or more Electoral system, electoral systems to elect different members of a legislature. More precisely, an electoral system is a superposition if it is a mixture o ...
system.
Although a theoretical possibility,
decoy lists are not used in Scotland, Wales, or other places using AMS in the UK, where most voters vote for candidates from parties with long-standing names. In the run up to the 2007 Scottish election, the Labour party had considered not fielding list candidates in the
Glasgow
Glasgow is the Cities of Scotland, most populous city in Scotland, located on the banks of the River Clyde in Strathclyde, west central Scotland. It is the List of cities in the United Kingdom, third-most-populous city in the United Kingdom ...
,
West of Scotland, and
Central Scotland regions, as their constituency strength in the previous two elections had resulted in no list MSPs; instead they proposed to support a list composed of
Co-operative Party
The Co-operative Party () is a centre-left List of political parties in the United Kingdom, political party in the United Kingdom, supporting co-operative values and principles. The party currently has an electoral pact with the Labour Party. E ...
candidates. Before this the Co-operative party had chosen not to field candidates of its own but merely to endorse particular Labour candidates. However the
Electoral Commission
An election commission is a body charged with overseeing the implementation of electioneering process of any country. The formal names of election commissions vary from jurisdiction to jurisdiction, and may be styled an electoral commission, a c ...
ruled that as membership of the Co-operative party is dependent on membership of the Labour party they could not be considered distinct legal entities.
In contrast, in the
2007 Welsh Assembly election,
Forward Wales
Forward Wales () was a socialist political party operating in Wales. It evolved from the John Marek Independent Party (JMIP), formed by the ex- Labour member of the Welsh Assembly, John Marek who was the party's national convenor.
On 8 Novembe ...
had its candidates (including sitting leader
John Marek) stand as independents, to attempt to gain list seats they would not be entitled to if Forward Wales candidates were elected to constituencies in the given region. However the ruse failed: Marek lost his seat in
Wrexham
Wrexham ( ; ) is a city status in the United Kingdom, city in the North East Wales, north-east of Wales. It lies between the Cambrian Mountains, Welsh mountains and the lower River Dee, Wales, Dee Valley, near the England–Wales border, borde ...
and Forward Wales failed to qualify for any top-up seats.
In the
2021 Scottish Parliament election
The 2021 Scottish Parliament election took place on 6 May 2021 under the provisions of the Scotland Act 1998. It was the sixth Scottish Parliament election since the parliament was re-established in 1999. 129 Member of the Scottish Parliament, ...
, former SNP leader,
Alex Salmond
Alexander Elliot Anderson Salmond ( ; 31 December 1954 – 12 October 2024) was a Scottish politician who served as First Minister of Scotland from 2007 to 2014. A prominent figure in the Scottish nationalist movement, he was Leader of the Sc ...
announced his leadership of the newly formed
Alba Party
The Alba Party (; ''Alba'' being the Scottish Gaelic name for Scotland) is a Scottish nationalist and Scottish independence, pro-independence political party in Scotland. Founded in February 2021, it was led by former First Minister of Scotland, ...
, with the stated aim of winning list seats for pro-independence candidates. At the party's public launch, Salmond quoted polling suggesting the SNP would receive a million votes in the forthcoming election but win no regional seats. He said that having Alba candidates on the regional lists would end the "wasted votes", and the number of independence supporting MSPs could reach 90 or more.
Use

The AMS is used in some
elections in the United Kingdom
There are five types of elections in the United Kingdom: elections to the House of Commons of the United Kingdom (commonly called 'general elections' when all seats are contested), elections to devolved parliaments and assemblies, local electio ...
*
Scotland
Scotland is a Countries of the United Kingdom, country that is part of the United Kingdom. It contains nearly one-third of the United Kingdom's land area, consisting of the northern part of the island of Great Britain and more than 790 adjac ...
: the
Scottish Parliament
The Scottish Parliament ( ; ) is the Devolution in the United Kingdom, devolved, unicameral legislature of Scotland. It is located in the Holyrood, Edinburgh, Holyrood area of Edinburgh, and is frequently referred to by the metonym 'Holyrood'. ...
* London: the
London Assembly
The London Assembly is a 25-member elected body, part of the Greater London Authority, that scrutinises the activities of the Mayor of London and has the power, with a two-thirds supermajority, to amend the Mayor's annual budget and to reject t ...
In 1976, the
Hansard Society
The Hansard Society was formed in the United Kingdom in 1944 to promote parliamentary democracy. Founded and chaired by Commander Stephen King-Hall, the first subscribers were Winston Churchill and Clement Attlee. The society's co-presidents a ...
recommended that a mixed electoral system in a form different from the German be used for
UK parliamentary elections, but instead of using closed party lists, it proposed that seats be filled by the "best runner-up" basis used by the German state of Baden-Württemberg, where the compensatory seats are filled by the party's defeated candidates who were the "best near-winner" in each of the state's four regions. It was the way that compensatory seats were allocated that made their report the origin of the additional member system, the term which the report also invented, which was then applied along with the much older "mixed system" by English-speaking writers on voting systems to West Germany's system and similar models until the term
mixed member proportional
Mixed-member proportional representation (MMP or MMPR) is a type of representation provided by some mixed electoral systems which combine local winner-take-all elections with a compensatory tier with party lists, in a way that produces p ...
(MMP) was coined for the adoption of the German system proposed for New Zealand in a royal commission report in 1986, which would explain why "AMS" and "MMP" have been used as synonyms. The system the Hansard Society proposed was eventually adopted but with closed lists instead of the "best runner-up" (popularly known in Britain as "best losers") provision for elections to the
Scottish Parliament
The Scottish Parliament ( ; ) is the Devolution in the United Kingdom, devolved, unicameral legislature of Scotland. It is located in the Holyrood, Edinburgh, Holyrood area of Edinburgh, and is frequently referred to by the metonym 'Holyrood'. ...
, the
Senedd
The Senedd ( ; ), officially known as the Welsh Parliament in English and () in Welsh, is the devolved, unicameral legislature of Wales. A democratically elected body, Its role is to scrutinise the Welsh Government and legislate on devolve ...
and the
London Assembly
The London Assembly is a 25-member elected body, part of the Greater London Authority, that scrutinises the activities of the Mayor of London and has the power, with a two-thirds supermajority, to amend the Mayor's annual budget and to reject t ...
, but not for that proposed for elections to the
House of Commons
The House of Commons is the name for the elected lower house of the Bicameralism, bicameral parliaments of the United Kingdom and Canada. In both of these countries, the Commons holds much more legislative power than the nominally upper house of ...
.
This system was proposed by the
Independent Commission in 1999, known as
Alternative vote top-up (AV+). This would have involved the use of the
Alternative Vote
Instant-runoff voting (IRV; ranked-choice voting (RCV), preferential voting, alternative vote) is a single-winner ranked voting election system where one or more eliminations are used to simulate runoff elections. When no candidate has a ...
for electing members from single-member constituencies, and regional
open party lists. However, contrary to the
Labour Party's earlier manifesto promises, no referendum was held before the
2001 general election and the statement was not repeated.
The AMS system in use in the London Assembly would have been used for the other proposed
regional assemblies of England, but after the overwhelming No vote in the
2004 North East England devolution referendum
The 2004 North East England devolution referendum was an all postal ballot referendum that took place on 4 November 2004 throughout North East England on whether or not to establish an elected assembly for the region. Devolution referendums i ...
, the Government abolished all the regional assemblies in 2008-2010.
Scotland
The system implemented for the Scottish Parliament is known to make it more difficult for any one party to win an outright majority, compared to the first-past-the-post system used for general elections to the UK Parliament in Westminster. However, in
2011
The year marked the start of a Arab Spring, series of protests and revolutions throughout the Arab world advocating for democracy, reform, and economic recovery, later leading to the depositions of world leaders in Tunisia, Egypt, and Yemen ...
, the
Scottish National Party
The Scottish National Party (SNP; ) is a Scottish nationalist and social democratic party. The party holds 61 of the 129 seats in the Scottish Parliament, and holds 9 out of the 57 Scottish seats in the House of Commons of the United Kingdom, ...
won 69 seats, a majority of four.
In the first election for Scotland's new Parliament, the majority of voters surveyed misunderstood some key aspects of the difference there between the "first" (constituency) vote and the "second" (regional list) vote; indeed in some ways the understanding worsened in the second election.
The
Arbuthnott Commission found references to first and second votes fueled a misconception that the constituency vote should be a first preference and the regional vote a second one.
To deal with the misunderstanding between "first" and "second" votes, the ballot for the 2007 Scottish Parliament election was changed as recommended by the Arbuthnott Commission. The British government announced on 22 November 2006 that the two separate ballot papers used in the previous Scottish Parliament elections would be replaced for the elections in May 2007 by a single paper, with the left side listing the parties standing for election as regional MSPs and the right side the candidates standing as constituency MSPs.
See also
*
Mixed-member proportional representation
Mixed-member proportional representation (MMP or MMPR) is a type of representation provided by some mixed electoral system, mixed electoral systems which combine local Winner-take-all system, winner-take-all elections with a Compensation (el ...
*
Parallel voting
In political science, parallel voting or superposition refers to the use of two or more Electoral system, electoral systems to elect different members of a legislature. More precisely, an electoral system is a superposition if it is a mixture o ...
(non-compensatory equivalents of the AMS)
*
Mixed electoral system
A mixed electoral system is one that uses different Electoral system, electoral systems to elect different seats in a legislature. Most often, this involves a First Past the Post combined with a Proportional representation, proportional component ...
*
Semi-proportional representation
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. Se ...
References
External links
{{subject bar, auto=y, d=y, Politics
Semi-proportional electoral systems
Mixed electoral systems
Electoral reform in the United Kingdom