Additional member system

The additional member system (AMS), also known as mixed-member proportional representation (MMP) outside the United Kingdom, is a mixed electoral system with one tier of single-member district representatives, and another tier of "additional members" elected to make the overall election results more proportional.
The term "additional member system", introduced by the Hansard Society, has been largely replaced in the literature by the term "mixed member proportional" coined by New Zealand's Royal Commission on the Electoral System (1984–1986). This article focuses primarily on semi-proportional implementations of MMP designed to yield moderately proportional election results, similar to the mixed systems used in the UK and referred to locally as AMS.
Method of voting.
In an election using the additional member system, each voter casts two votes: a vote for a candidate standing in their constituency (with or without an affiliated party), and a vote for a party list standing in a wider region made up of multiple constituencies. The constituency vote is used to elect a single representative in the voter's constituency using the traditional first past the post system: the candidate with the most votes (not necessarily a majority of the electorate) wins. The regional vote is used to elect representatives from party lists to stand in regional seats, taking into account how many seats were gained by that party in the constituency vote, using a system of proportional representation: the number of seats a party receives will roughly reflect its percentage of the vote.
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. 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. The Arbuthnott Commission recommended that Scotland change to a model where the voter can vote for a specific regional candidate as well, but this has not been implemented. With a similar model in Bavaria 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: Bavaria uses seven regions for this purpose. In Baden-Württemberg there are no lists; they use the "best near-winner" method 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.
Calculation.
In the model of AMS used in the United Kingdom, the regional seats are divided using a D'Hondt method. 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. The D'Hondt method is also implemented in sequential rounds, rather than using a table to find the highest averages, although both ways produce identical results. Similar systems are used in Wales and London.
For example, in Scotland after the constituency seats have been allocated using First Past The Post, the regional seats are calculated for each region as follows:
Stage 1:
How many constituency seats did each party get?
To find out the number to divide their regional votes by, you take the number of constituency seats they won in that region, and add 1.
If they got 0 seats, the number is 0+1 = 1.
If they got 4 seats, the number is 4+1 = 5.
You then divide the party’s regional vote total by that number. This gives you their adjusted votes.
The adjusted votes are what you use to decide who has won at this stage.
At stage 1 you will need to do this for all the parties who gained constituency seats.
Whoever has the highest number of adjusted votes after this stage gets the first regional seat.
Stage 2:
You will only need to calculate ONE adjusted votes total at this stage: for whichever party just won a regional seat.
Add in their new seat to the formula seats + 1, and divide their regional vote total by that number. You now have their new adjusted vote total.
Whoever has the highest number of adjusted votes after this stage gets the next regional seat.
Stages 3 – 7:
At each stage remember to add in the new seat and divide the winning party’s regional vote total according to the formula. Repeat until you have seven seats filled.
In the Italian model of AMS, used from 1993 to 2005, for every constituency seat won by a party, that party's vote total was reduced by the number of votes received by the second-place candidate in the constituency, subject to the condition that the deduction cannot be less than either 25% of the total votes cast in the constituency, or the votes received by the winning candidate, whichever is less.
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 have a threshold of 5% which has at times denied seats to the Christian Peoples Alliance (in the 2000 election), the British National Party, Respect – The Unity Coalition (both in the 2004 election), and the Women's Equality Party (in the 2016 election). Under the AMS used in Italy from 1993 to 2005, a threshold of 4% was needed to receive proportional seats.
Since smaller parties are likely, in compensatory systems, to win a larger number of proportional seats, such additional member systems could hand additional political power to the leaders of these parties at the expense of regional directly elected representatives, unless the additional members are elected on an open regional list or a closed regional list as in Scotland and Wales. With closed lists, party-list candidates may become puppets for the party leadership, or may add diversity to the party's elected members.
The largest party in an election is likely to win a smaller number of proportional seats, so that governing parties may lose diversity, unless the members elected from the party list when it was in opposition then win local seats when the party gains enough support to form the government.
Decoy lists.
So-called "decoy lists" are a trick to unhinge the compensation mechanisms contained into the proportional part of the AMS, so to "de facto" establish a parallel voting system.
For instance in the 2001 Italian general election, one of the two main coalitions (the House of Freedoms coalition, which opposed the MMP system) linked many of their constituency candidates to a decoy list ("liste civetta") in the proportional parts, under the name "Abolizione Scorporo". As a defensive move, the other coalition, Olive Tree, felt obliged to do the same, under the name "Paese Nuovo". The constituency seats won by each coalition would not reduce the number of proportional seats they received. Between them, the two decoy lists won 360 of the 475 constituency seats, more than half of the total of 630 seats available, despite winning a combined total of less than 0.2% of the national proportional part of the vote. In the case of Forza Italia (part of the House of Freedoms), the tactic was so successful that it did not have enough candidates in the proportional part to receive as many seats as it in fact won, missing out on 12 seats.
Decoy lists are not used in Scotland, Wales, or most other places using AMS, 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, 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 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 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 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 and Forward Wales failed to qualify for any top-up seats.
For the 2020 South Korean legislative election the electoral system was changed. In response, there were two satellite parties that only ran in the proportional part, the Future Korea Party (controlled by the United Future Party) and the Platform Party (controlled by the Democratic Party of Korea). Both merged with the parent party after the election.
In the 2021 Scottish Parliament election, former SNP leader, Alex Salmond announced his leadership of the newly formed Alba Party, 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.
AMS is used in:
It was used from 1993 to 2005 in Italy (Scorporo):
It was used from 1953 to 2011 in Germany:
In 1976, the Hansard Society 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 mixed member proportional (MMP) was invented 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, Welsh Parliament (Senedd) and London Assembly, but not for that proposed for elections to the House of Commons.
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 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 this process has stalled since the No vote in the Northern England referendums in 2004.
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 Scottish National Party won 69 seats, a majority of nine.
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 fuelled a misconception that the constituency vote should be a first preference and the regional vote a second one. That misconception was not helped by the Green Party's tactic of running only regional candidates and appealing for "second votes".
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.