Election threshold

The electoral threshold, or election threshold, is the minimum share of votes that a candidate or political party requires before they become entitled to representation or additional seats in a legislature.

This limit can operate in various ways; for example, in party-list proportional representation systems where an electoral threshold requires that a party must receive a specified minimum percentage of votes (e.g. 5%), either nationally or in a particular electoral district, to obtain seats in the legislature. In single transferable voting, the election threshold is called the quota, and it is possible to achieve it by receiving first-choice votes alone or by a combination of first-choice votes and votes transferred from other candidates based on lower preferences.

In mixed-member-proportional (MMP) systems, the election threshold determines which parties are eligible for top-up seats in the legislative chamber. Some MMP systems still allow a party to retain the seats they won in electoral districts even when they did not meet the threshold nationally; in some of these systems, top-up seats are allocated to parties that do not achieve the electoral threshold if they have won at least one district seat or have met some other minimum qualification.

The effect of this electoral threshold is to deny representation to small parties or to force them into coalitions. Such restraint is intended to make the election system more stable by keeping out fringe parties. Proponents of a stiff electoral threshold say that having a few seats in a legislature can significantly boost the profile of a party and that providing representation and possibly veto power for a party that receives only 1 percent of the vote is not appropriate. However, others argue that in the absence of a ranked ballot or proportional voting system at the district level, supporters of minor parties, barred from top-up seats, are effectively disenfranchised and denied the right to be represented by someone of their choosing.

Two boundaries can be defineda threshold of representation is the minimum vote share that might yield a party a seat under the most favorable circumstances for the party, while the threshold of exclusion is the maximum vote share that could be insufficient to yield a seat under the least favorable circumstances. Arend Lijphart suggested calculating the informal threshold as the mean of these.

The electoral threshold is a barrier to entry for political parties to the political competition.

Recommendations for electoral thresholds

The Parliamentary Assembly of the Council of Europe recommends for parliamentary elections a threshold not higher than three percent.

For single transferable vote, to produce representation for parties with approximately ten percent of the vote or more, John M. Carey and Simon Hix recommend a district magnitude of approximately six or more in the districts used. Support for a party is not homogenous across an electorate, so a party with ten percent of the general vote is expected to easily achieve the threshold in at least one district even if not in others. Most STV systems used today set the number of votes for the election of most members at the Droop quota, which in a six-member district is 14 percent of the votes cast in the district. Carey and Hix note that increasing the DM past six lowers the natural threshold in the district only in small increments and deceasingly each time.

Electoral thresholds in various countries

In Poland's Sejm, Lithuania's Seimas, Germany's Bundestag, Kazakhstan's Mäjilis and New Zealand's House of Representatives, the threshold is 5 percent (in Poland, additionally 8 percent for a coalition of two or more parties submitting a joint electoral list and in Lithuania, additionally 7 percent for coalition). However, in Germany and New Zealand, if a party wins a directly elected seat, the threshold does not apply.

Israel's Knesset uses a threshold of 3.25 percent. (It was 1% before 1992, 1.5% from 1992 to 2003, and 2% from 2003 to 2014.) The Turkish parliament uses an electoral threshold of 7 percent. In Poland, ethnic minority parties do not have to reach a threshold to get into the parliament, so there is often a small German minority representation in the Sejm. In Romania, a different threshold is used for ethnic minority parties than for national parties that run for the Chamber of Deputies.

Several countriesincluding Finland, Namibia, North Macedonia, Portugal and South Africause proportional representation systems that have no legally set electoral threshold.

Australia

The Senate of Australia is elected using single transferable vote (STV) and does not use an electoral threshold or have a predictable "natural" or "hidden" threshold. The quota ensures the election of candidates, but it is also possible to be elected with less than quota at the end of the count. At a normal election, each state returns six senators and the Australian Capital Territory and the Northern Territory each return two. (For the states, the number is doubled in a double dissolution election.) As such, the quota for election (as determined through the Droop quota) is 14.3 percent or 33.3 percent respectively. (For the states, the quota for election is halved in a double dissolution election.) However, as STV allows votes to be transferred even across party lines, candidates who receive less than the quota for election in the first round of counting may reach the Droop quota and be certain of election, or at least have enough to be elected with less than the quota. Therefore, the sixth (or, at a double dissolution election, the 12th) Senate seat in each state is often won by a candidate of a party who received considerably less than the Droop quota in primary votes. For example, at the 2022 election, the sixth Senate seat in Victoria was won by the United Australia Party even though it won only 4 percent of the primary vote in that state. The successful UAP candidate, Ralph Babet, had personally accumulated a vote tally equivalent to 12 percent of the votes cast by the end, which due to 7 percent being exhausted, meant he was the most popular when only he and one other candidate were still in the running.

Germany

Germany's mixed-member proportional system has a threshold of 5 percent of party-list votes for full proportional representation in the Bundestag in federal elections. However, this is not a stringent barrier to entry: any party or independent who wins a constituency is entitled to that seat whether or not they have passed the threshold. Parties representing registered ethnic minorities have no threshold and receive proportional representation should they gain the mathematical minimum number of votes nationally to do so. The 2021 election demonstrated the exception for ethnic minority parties: the South Schleswig Voters' Association entered the Bundestag with just 0.1 percent of the vote nationally as a registered party for Danish and Frisian minorities in Schleswig-Holstein. The 5% threshold also applies to all state elections; there is none for European Parliament elections.

German electoral law also includes the ''Grundmandatsklausel'' ('basic mandate clause'), which grants full proportional seating to parties winning at least three constituencies as if they had passed the electoral threshold, even if they did not. This rule is intended to benefit parties with regional appeal. This clause has come into effect in two elections: in 1994, when the Party of Democratic Socialism, which had significantly higher support in the former East Germany, won 4.4 percent of party-list votes and four constituencies, and in 2021, when its successor, Die Linke, won 4.9 percent and three constituencies. This clause was repealed by a 2023 law intended to reduce the size of the Bundestag. However, after complaints from Die Linke and the Christian Social Union, the Federal Constitutional Court ruled a threshold with no exceptions was unconstitutional. The court provisionally reintroduced the basic mandate clause for the 2025 federal election.

Norway

In Norway, the nationwide electoral threshold of 4 percent applies only to leveling seats. A party with sufficient local support may still win the regular district seats, even if the party fails to meet the threshold. For example, the 2021 election saw the Green Party and Christian Democratic Party each win three district seats, and Patient Focus winning one district seat despite missing the threshold.

Slovenia

In Slovenia, the threshold was set at 3 parliamentary seats during parliamentary elections in 1992 and 1996. This meant that the parties needed to win about 3.2 percent of the votes in order to pass the threshold. In 2000, the threshold was raised to 4 percent of the votes.

Sweden

In Sweden, there is a nationwide threshold of 4 percent for the Riksdag, but if a party reaches 12 percent in any electoral constituency, it will take part in the seat allocation for that constituency. As of the 2022 election, nobody has been elected based on the 12 percent rule.

United States

In the United States, as the majority of elections are conducted under the first-past-the-post system, legal electoral thresholds do not apply. It is possible to be elected with less than half the votes in a district.

However, several states have threshold requirements for parties to obtain automatic ballot access to the next general election without having to submit voter-signed petitions. The threshold requirements have no practical bearing on the two main political parties (the Republican and Democratic parties) as they easily meet the requirements, but have come into play for the Green, Libertarian and other minor parties. The threshold rules also restrict independent candidates' access to the ballot.

List of electoral thresholds by country

Africa

Asia and Oceania

Europe

The electoral threshold for elections to the European Parliament varies for each member state, a threshold of up to 5 percent is applied for individual electoral districts, no threshold is applied across the whole legislative body.

North America

South America

Legal challenges

The German Federal Constitutional Court rejected an electoral threshold for the European Parliament in 2011 and in 2014 based on the principle of one person, one vote. In the case of Turkey, in 2004 the Parliamentary Assembly of the Council of Europe declared the threshold of 10 percent to be manifestly excessive and asked Turkey to lower it. On 30 January 2007 the European Court of Human Rights ruled by five votes to two and on 8 July 2008, its Grand Chamber by 13 votes to four that the former 10 percent threshold imposed in Turkey does not violate the right to free elections (Article 3 of Protocol 1 of the ECHR). It held, however, that this same threshold could violate the Convention if imposed in a different country. It was justified in the case of Turkey in order to stabilize the volatile political situation over recent decades.

Natural threshold

The number of seats in each electoral district creates a "hidden" natural threshold (also called an effective, or informal threshold). The number of votes that means that a party is guaranteed a seat can be calculated by the formula ($\frac + \varepsilon$) where ε is the smallest possible number of votes. That means that in a district with four seats slightly more than 20 percent of the votes will guarantee a seat. Under more favorable circumstances, the party can still win a seat with fewer votes. The most important factor in determining the natural threshold is the number of seats to be filled by the district. Other factors are the seat allocation formula ( Saint-Laguë, D'Hondt or Hare), the number of contestant political parties and the size of the assembly. Generally, smaller districts leads to a higher proportion of votes needed to win a seat and vice versa. The lower bound (the threshold of representation or the percentage of the vote that allows a party to earn a seat under the most favorable circumstances) is more difficult to calculate. In addition to the factors mentioned earlier, the number of votes cast for smaller parties are important. If more votes are cast for parties that do not win any seat, that will mean a lower percentage of votes needed to win a seat.

In some elections, the natural threshold may be higher than the legal threshold. In Spain, the legal threshold is 3 percent of valid votes—which included blank ballots—with most constituencies having less than 10 deputies, including Soria with only two. Another example of this effect are elections to the European Parliament. In the Cyprus EU constituency, the legal threshold is 1.8 percent, explicitly replacing the threshold for national election which is 3.6 percent. Cyprus only has 6 MEPs, raising the natural threshold. An extreme example of this was in the 2004 EU Parliament elections, where For Europe won 36,112 votes (10.80%) and EDEK won 36,075 votes (10.79%); despite both parties crossing the threshold by a high margin and a difference of only 37 votes, only "For Europe" returned an MEP to the European Parliament.

Other examples include:
* Lithuania EU constituency (2004): LLRA–KŠS– LRS won percent despite a threshold of 5 percent
* Austria EU constituency (2009): BZÖ won 4.6 percent despite a threshold of 4 percent; after the Treaty of Lisbon, Ewald Stadler (BZÖ) became MEP
* Croatia EU constituency (2014): Alliance for Croatia won 6.88 percent despite a threshold of 5 percent
* Latvia EU constituency (2019): ZZS won 5.34 percent despite a threshold of 5 percent
*Croatia EU constituency (2024): "Fair Play List 9" won 5.54 percent despite a threshold of 5 percent; in 2019, its predecessor, Amsterdam Coalition, won a MEP with just 5.19 percent
*Lithuania EU constituency (2024): LRP won 5.15 percent despite a threshold of 5 percent

Notable cases

An extreme example occurred in Turkey following the 2002 Turkish general election, where almost none of the 550 incumbent MPs were returned. This was a seismic shift that rocked Turkish politics to its foundations. None of the political parties that had passed the threshold in 1999, passed it again: DYP received only 9.55 percent of the popular vote, MHP received 8.34 percent, GP 7.25 percent, DEHAP 6.23 percent, ANAP 5.13 percent, SP 2.48 percent and DSP 1.22 percent. The aggregate number of wasted votes was an unprecented 46.33 percent (14,545,438). As a result, Erdoğan's AKP gained power, winning more than two-thirds of the seats in the Parliament with just 34.28 percent of the vote, with only one opposition party ( CHP, which by itself failed to pass threshold in 1999) and 9 independents.

Other dramatic events can be produced by the loophole often added in mixed-member proportional representation (used throughout Germany since 1949, New Zealand since 1993): there the threshold rule for party lists includes an exception for parties that won 3 (Germany) or 1 (New Zealand) single-member districts. The party list vote helps calculate the desirable number of MPs for each party. Major parties can help minor ally parties overcome the hurdle, by letting them win one or a few districts:
* 2008 New Zealand general election: While New Zealand First received only 4.07 percent of the list vote (so it was not returned to parliament), ACT New Zealand won 3.65 percent of the list vote, but its leader won an electorate seat (Epsom), which entitled the party to list seats (4). In the 2011 election, leaders of the National Party and ACT had tea together before the press to promote the implicit alliance (see tea tape scandal). After their victories, the Nationals passed a confidence and supply agreement with ACT to form the Fifth National Government of New Zealand.
* In Germany, the post-communist PDS and its successor Die Linke often hovered around the 5 percent threshold: In 1994, it won only 4.4 percent of the party list vote, but won four districts in East Berlin, which saved it, earning 30 MPs in total. In 2002, it achieved only 4.0 percent of the party list vote, and won just two districts, this time excluding the party from proportional representation. This resulted in a narrow red-green majority and a second term for Gerhard Schröder, which would not have been possible had the PDS won a third constituency. In 2021, it won only 4.9 percent of the party list vote, but won the bare minimum of three districts ( Berlin-Lichtenberg, Berlin-Treptow-Köpenick, and Leipzig II), salvaging the party, which received 39 MPs.

The failure of one party to reach the threshold not only deprives their candidates of office and their voters of representation; it also changes the power index in the assembly, which may have dramatic implications for coalition-building.
* Slovakia, 2002. The True Slovak National Party (PSNS) split from Slovak National Party (SNS), and Movement for Democracy (HZD) split from the previously dominant People's Party – Movement for a Democratic Slovakia. All of them failed to cross the 5 percent threshold with PSNS having 3.65 percent, SNS 3.33 percent and HZD 3.26 percent respectively, thus allowing a center-right coalition despite having less than 43 percent of the vote.
* Norway, 2009. The Liberal Party received 3.9 percent of the votes, below the 4 percent threshold for leveling seats, although still winning two seats. Hence, while right-wing opposition parties won more votes between them than the parties in the governing coalition, the narrow failure of the Liberal Party to cross the threshold kept the governing coalition in power. It crossed the threshold again at the following election with 5.2 percent.
* In the 2013 German federal election, the FDP, in Parliament since 1949, received only 4.8 percent of the list vote, and won no single district, excluding the party altogether. This, along with the failure of the right-wing eurosceptic party AfD (4.7%), gave a left-wing majority in Parliament despite a center-right majority of votes ( CDU/CSU itself fell short of an absolute majority by just 5 seats). As a result, Merkel's CDU/CSU formed a grand coalition with the SPD.
* Poland, 2015. The United Left achieved 7.55 percent, which is below the 8 percent threshold for multi-party coalitions. Furthermore, KORWiN only reached 4.76 percent, narrowly missing the 5 percent threshold for individual parties. This allowed the victorious PiS to obtain a majority of seats with 37 percent of the vote. This was the first parliament without left-wing parties represented.
* Israel, April 2019. Among the 3 lists representing right-wing to far-right Zionism and supportive of Netanyahu, only one crossed the threshold the right-wing government had increased to 3.25 percent: the Union of the Right-Wing Parties with 3.70 percent, while future Prime Minister Bennett's New Right narrowly failed at 3.22 percent, and Zehut only 2.74 percent, destroying Netanyahu's chances of another majority, and leading to snap elections in September.
* Czech Republic, 2021. Přísaha (4.68%), ČSSD (4.65%) and KSČM (3.60%) all failed to cross the 5 percent threshold, thus allowing a coalition of Spolu and PaS. This was also the first time that neither ČSSD nor KSČM had representation in parliament since 1992.

Memorable dramatic losses due to electoral threshold

* In the 1990 German federal election, the Western Greens did not meet the threshold, which was applied separately for former East and West Germany. The Greens could not take advantage of this, because the " Alliance 90" (which had absorbed the East German Greens) ran separately from "The Greens" in the West. Together, they would have narrowly passed the 5.0 percent threshold (West: 4.8%, East: 6.2%). The Western Greens returned to the Bundestag in 1994.
* Israel, 1992. The extreme right-wing Tehiya (Revival) received 1.2 percent of the votes, which was below the threshold which it had itself voted to raise to 1.5 percent. It thus lost its three seats.
* In Bulgaria, the so-called "blue parties" or "urban right" which include SDS, DSB, Yes, Bulgaria!, DBG, ENP and Blue Unity frequently get just above or below the electoral threshold depending on formation of electoral alliances: In the EP election 2007, DSB (4.74%) and SDS (4.35%) were campaigning separately and both fell below the natural electoral of around 5 percent. In 2009 Bulgarian parliamentary election, DSB and SDS ran together as Blue Coalition gaining 6.76 percent. In 2013 Bulgarian parliamentary election, campaigning separately DGB received 3.25 percent, DSB 2.93 percent, SDS 1.37 percent and ENP 0.17 percent, thus all of them failed to cross the threshold this even led to a tie between the former opposition and the parties right of the centre. In the EP election 2014, SDS, DSB and DBG ran as Reformist Bloc gaining 6.45 percent and crossing the electoral threshold, while Blue Unity campaigned separately and did not cross the electoral threshold. In 2017 Bulgarian parliamentary election, SDS and DBG ran as Reformist Bloc gaining 3.06 percent, "Yes, Bulgaria!" received 2.88 percent, DSB 2.48 percent, thus all of them failed to cross the electoral threshold. In the EP election 2019, "Yes, Bulgaria!" and DBG ran together as Democratic Bulgaria and crossed the electoral threshold with 5.88 percent. In November 2021, electoral alliance Democratic Bulgaria crossed electoral threshold with 6.28 percent.
* Slovakia, 2010. Both the Party of the Hungarian Community which (including their predecessors) hold seats in parliament since the Velvet Revolution and the People's Party – Movement for a Democratic Slovakia, which dominated in the 1990s, received 4.33 percent and thus failed to achieve the 5 percent threshold.
* Slovakia, 2016. The Christian Democratic Movement achieved 4.94 percent missing only 0.06 percent votes to reach the threshold which meant the first absence of the party since the Velvet Revolution and the first democratic elections in 1990.
* Slovakia, 2020. The coalition between Progressive Slovakia and SPOLU won 6.96 percent of votes, falling only 0.04 percent short of the 7 percent threshold for coalitions. This was an unexpected defeat since the coalition had won seats in the 2019 European election and won the 2019 presidential election less than a year earlier. In addition, two other parties won fewer votes but were able to win seats due to the lower threshold for single parties (5%). This was also the first election since the Velvet Revolution in which no party of the Hungarian minority crossed the 5 percent threshold.
* Lithuania, 2020. The LLRA–KŠS won only 4.80 percent of the party list votes.
* Madrid, Spain, 2021. Despite achieving 26 seats with 19.37 percent of the votes in the previous election, the liberal Ciudadanos party crashed down to just 3.54 percent in the 2021 snap election called by Isabel Díaz Ayuso, failing to get close to the 5 percent threshold.
* Slovenia, 2022. Democratic Party of Pensioners of Slovenia only achieved 0.62 percent of the vote. This was the first time when DeSUS did not reached the 4 percent since 1996 which was part of almost every coalition since its foundation.
* Germany, 2022 Saarland state election. Alliance 90/The Greens fell 23 votes or 0.005 percent short of reaching representation. The Left fell from 12.8 percent to below the electoral threshold with 2.6 percent in their only western stronghold. Total percentage of votes not represented was 22.3 percent.
* Israel, 2022 Israeli legislative election. Meretz fell to 3.16 percent thus failed to cross the threshold for the first time.
* Germany, 2025. Both the Free Democratic Party (FDP) – part of the previous government coalition – and the Sahra Wagenknecht Alliance (BSW) – formed by a recent party split – fell just short of the threshold, with the FDP on 4.33% and BSW on 4.97%, just 0.03% short.

Coalitions due to electoral thresholds

There has been cases of attempts to circumvent thresholds:
* Slovakia, 1998. Slovak Democratic Coalition ran as a single political party to help its component parties get over the threshold.
* Turkey, 2007 and 2011. The DTP/ BDP-led Thousand Hope Candidates and Labour, Democracy and Freedom Bloc only gained 3.81 percent (2007) and 5.67 percent (2011) of the vote not crossing the 10 percent threshold but because they ran as independents they won 22 and 36 seats.
* Poland, 2019. After the United Left and KORWiN failed to cross the thresholds in 2015 both of them with their new alliances bypassed the coalition threshold by either running under SLD label ( Lewica) or registering their alliance as a party itself (Confederation). Similarly to Lewica, the Polish Coalition ran under Polish People's Party label. Lewica and Polish Coalition would have crossed the coalition threshold of 8 percent with 12.56 percent and 8.55 percent respectively while Confederation only gained 6.81 percent of the vote.
* Czechia, 2021. The Tricolour–Svobodní– Soukromníci alliance tried to bypass the coalition threshold by renaming Tricolour to include the names of their partners but they only received 2.76 percent, failing to cross the usual 5 percent threshold.

Number of wasted votes

Electoral thresholds can sometimes seriously affect the relationship between the percentages of the popular vote achieved by each party and the distribution of seats. The proportionality between seat share and popular vote can be measured by the Gallagher index while the number of wasted votes is a measure of the total number of voters not represented by any party sitting in the legislature.

The failure of one party to reach the threshold not only deprives their candidates of office and their voters of representation; it also changes the power index in the assembly, which may have dramatic implications for coalition-building.

The number of wasted votes changes from one election to another, here shown for New Zealand. The wasted vote changes depending on voter behavior and size of effective electoral threshold, for example in 2005 New Zealand general election every party above 1 percent received seats due to the electoral threshold in New Zealand of at least one seat in first-past-the-post voting, which caused a much lower wasted vote compared to the other years.

In the Russian parliamentary elections in 1995, with a threshold excluding parties under 5 percent, more than 45 percent of votes went to parties that failed to reach the threshold. In 1998, the Russian Constitutional Court found the threshold legal, taking into account limits in its use.

After the first implementation of the threshold in Poland in 1993 34.4 percent of the popular vote did not gain representation.

There had been a similar situation in Turkey, which had a 10 percent threshold, easily higher than in any other country. The justification for such a high threshold was to prevent multi-party coalitions and put a stop to the endless fragmentation of political parties seen in the 1960s and 1970s. However, coalitions ruled between 1991 and 2002, but mainstream parties continued to be fragmented and in the 2002 elections as many as 45 percent of votes were cast for parties which failed to reach the threshold and were thus unrepresented in the parliament. All parties which won seats in 1999 failed to cross the threshold, thus giving Justice and Development Party 66 percent of the seats.

In the Ukrainian elections of March 2006, for which there was a threshold of 3 percent (of the overall vote, i.e. including invalid votes), 22 percent of voters were effectively disenfranchised, having voted for minor candidates. In the parliamentary election held under the same system, fewer voters supported minor parties and the total percentage of disenfranchised voters fell to about 12 percent.

In Bulgaria, 24 percent of voters cast their ballots for parties that would not gain representation in the elections of 1991 and 2013.

In the 2020 Slovak parliamentary election, 28.47 percent of all valid votes did not gain representation. In the 2021 Czech legislative election 19.76 percent of voters were not represented. In the 2022 Slovenian parliamentary election 24 percent of the vote went to parties which did not reach the 4 percent threshold including several former parliamentary parties ( LMŠ, PoS, SAB, SNS and DeSUS).

Electoral thresholds can produce a spoiler effect, similar to that in the first-past-the-post voting system, in which minor parties unable to reach the threshold take votes away from other parties with similar ideologies. Fledgling parties in these systems often find themselves in a vicious circle: if a party is perceived as having no chance of meeting the threshold, it often cannot gain popular support; and if the party cannot gain popular support, it will continue to have little or no chance of meeting the threshold. As well as acting against extremist parties, it may also adversely affect moderate parties if the political climate becomes polarized between two major parties at opposite ends of the political spectrum. In such a scenario, moderate voters may abandon their preferred party in favour of a more popular party in the hope of keeping the even less desirable alternative out of power.

On occasion, electoral thresholds have resulted in a party winning an outright majority of seats without winning an outright majority of votes, the sort of outcome that a proportional voting system is supposed to prevent. For instance, the Turkish AKP won a majority of seats with less than 50 percent of votes in three consecutive elections (2002, 2007 and 2011). In the 2013 Bavarian state election, the Christian Social Union failed to obtain a majority of votes, but nevertheless won an outright majority of seats due to a record number of votes for parties which failed to reach the threshold, including the Free Democratic Party (the CSU's coalition partner in the previous state parliament). In Germany in 2013 15.7 percent voted for a party that did not meet the 5 percent threshold.

In contrast, elections that use the ranked voting system can take account of each voter's complete indicated ranking preference. For example, the single transferable vote redistributes first preference votes for candidates below the threshold. This permits the continued participation in the election by those whose votes would otherwise be wasted. Minor parties can indicate to their supporters before the vote how they would wish to see their votes transferred. The single transferable vote is a proportional voting system designed to achieve proportional representation through ranked voting in ''multi-seat'' (as opposed to single seat) organizations or constituencies (voting districts). Ranked voting systems are widely used in Australia and Ireland. Other methods of introducing ordinality into an electoral system can have similar effects.

See also

* List of democracy and elections-related topics

Notes

External links

PACE report on electoral thresholds, 2010
{{voting systems

Voting theory