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Triangular election in France

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In French politics, a triangular election (French: élection triangulaire) is an election characteristic of the French electoral system, due to the two-round voting system for elections to the National Assembly.[1] A triangular election occurs when three candidates from the first round have reached the retention threshold and do not withdraw in the second round. The winner of this election is determined by a relative majority. Depending on the elimination thresholds adopted for the first round, the second round may also give rise to a quadrangular election (4), or even a quinquangular (5) or sexangular election (6).

Triangular elections were particularly notable in the 2024 French legislative election between the Ensemble pour la République, New Popular Front and the Union of the Far-Right.[2]

Origins

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The first triangular elections appeared with the foundation of the two-round majority single-member constituency system. This electoral system was put in place during the legislative elections of 1852, then continued during the Second French Empire. The two-round system then continued under the French Third Republic, from the elections of 1876.[3]

This voting method was originally considered favourable to the Legitimists, Orleanists and Bonapartists, three political movements of the French right wing, who suffered from division.[4] Indeed, in the case of an incomplete bipolarization, where a divided bloc withdraws in favour of the best of them during the second round, the triangular configuration is then more favourable to the political camp which has two qualified candidates.

Thus, this election characterizes the politics of France, as in-order to be represented in the National Assembly without being able to win alone, you must have the support of other parties making the result more representative in theory.

In various elections

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The presence of triangular races depends on the voting method of the elections, and more particularly on the qualification threshold for the second round:

  • It is observed less and less during legislative elections which elects deputies to the National Assembly, where it is necessary to obtain at least 12.5% ​​of registered voters to be able to remain (in the case where two other candidates have also crossed the 12.5% ​​threshold).
  • It is impossible during a presidential election as the runoff only takes place between the top two candidates. However, the French Constitution allows withdrawals in favour of another candidate, which does not prevent strategies inspired by legislative elections.
  • It has become rarer in departmental elections [fr] because successive French governments have regularly increased the threshold for remaining in the second round, to their advantage, this being now placed at 12.5% ​​of registered voters.
  • In municipal elections, since 1983, half of the seats have been distributed proportionally, but there has been a threshold for access to the second round in cities with more than 1,000 inhabitants. This is set at 10% of the votes cast, thus allowing the phenomenon of triangular and quadrangular races in politically divided municipalities.
  • In regional elections [fr], they previously had a single round, but the latest reform in 2003 modelled the municipal system, with a threshold for access to the second round of 10% of the votes cast, which gave rise to numerous three-way contests in 2004, 2010 and 2015.

Number of triangular elections

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Evolution of the number of triangular contests in legislative elections under the Fifth French Republic

Legislative elections

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Source:[5]

Regional elections

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In the 2021 French regional elections, there a number of run-offs, with the second round preventing the National Rally from winning any regions.[13]

Influential factors

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The number of three-way races in the various elections during the French Fifth Republic is thus relatively disparate; as it does not stabilize around any value. This is because many influencing factors, sometimes favouring the presence of three-way races, sometimes causing the number of second rounds with more than two candidates to fall, must be studied to better understand this evolution.

The minimum threshold to be a candidate in the second round

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Threshold

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The higher the election threshold required to qualify for the second round, the fewer candidates there will be who will reach the second round and therefore the fewer three-way races there will be.

Development

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It must also be said, concerning the legislative elections, that this bar of one eighth of registered voters has not always been the same.[14]

The information below shows the different changes of this threshold:

The minimum threshold to be a candidate for the legislative elections readjusted (period 1958–1997)
  • Following the ordinances of 1958 and 1959 which re-established among other things the ywo-round system, the minimum threshold of registered voters required to be in the second round was 5%
  • After law number 66-1022 was passed on December 29, 1966, the minimum threshold of registered voters required to be in the ballot changed to 10 % ;[15]
  • After law number 76-665 was passed on July 19, 1976, the minimum threshold of registered voters required to be in the ballot increased to: 12.5%. This remains the case today.[16]

The graph above is also very telling, as we see that the number of second rounds with more than two candidates collapses as the threshold is increased.

Furthermore, there were no more: sexangular; nor quinquangular after the threshold change of 1966, and the number of quadrangular elections also reduced drastically.[5]

Depending on its nature (in % of registered or in % of expressed)

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Finally if the threshold for remaining in the second round is a percentage of votes cast, which is the case for regional elections [fr] and municipal elections (for municipalities with more than 1,000 inhabitants) then it is then easier for a list or for a candidate to succeed in crossing this threshold, because too low a turnout would therefore have no influence on the election.[17][18]

Indeed, in the case of departmental elections [fr] and legislative elections where a percentage threshold of registered voters is in force, candidates wishing to qualify for the second round are dependent on abstention.[19][20]

The participation rate

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The voter turnout is a significant factor influencing the number of three-way races in departmental elections [fr] and legislative elections.

Indeed, within the framework of a threshold of maintenance set at (12.5%) ​​of registered voters, for 3 candidates to qualify, the 3rd must therefore win at least one eighth of the votes of registered voters. But this then assumes that at least three eighths of registered voters (37.5%) go to the polls, because if the first two candidates receive, de facto, as many or more votes as the 3rd (25% of registered voters minimum between them).

Thus, an abstention rate exceeding 62.5% prohibits any possibility of a three-way race in the second round.

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The calculation of the threshold for maintaining votes cast: divide one eighth by the participation rate.

From the participation rate, it is then possible to use the expression opposite to formulate the retention threshold as a percentage of votes cast..

In fact, we start from the retention threshold (12.5% ​​or one eighth as presented in the formula) and divide it by the ratio of voters who expressed themselves to the number of registered voters.

The retention rates for certain scenarios are set out in the table below:

Calculation of the rate of maintenance of votes cast for 12.5% ​​of registered voters
Registered voters who voted blank

or abstained (%)

0 5 10 15 20 25 30 33 35 40 45 50 62.5
Registered voters who expressed their views

(%)

100 95 90 85 80 75 70 67 65 60 55 50 37.5
Retention rate

(% expressed)

12.5 13.16 13.89 14.71 15.625 16.67 17.86 18.75 19.23 20.83 22.72 25 33.3

We then understand that the higher the participation, the more it favours the possibility of there being a triangular election because the maintenance rate, as a percentage of those expressed, is then lower.

A correlation between participation and the number of second rounds with more than two candidates is far from evident.

However, when comparing the evolution of the participation rate and the number of second rounds with more than two candidates during the legislative elections under the Fifth Republic, the correlation is far from obvious, as shown in the graph opposite.[5][12][21]

However, from this graph we can see two things:

  • Turnout must be high enough to have many second rounds with more than two candidates (1958; 1962; 1973; 1997 and 2024)
  • On the other hand, if participation is very high, this does not necessarily imply a large number of second rounds with more than two candidates (1978; 1981; 1993)

Thanks to these two curves, we can then better understand the role of participation in the frequency of appearance of triangular races: the higher it is, the more it favours the possibility of there being second rounds with more than two candidates (as was explained previously)

On the other hand, the fact that participation is very high does not systematically imply that the number of triangular races is skyrocketing, for the simple reason that other factors must be taken into account.

Bipolarization and tripolarization

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Another factor influencing the number of triangular races is the presence of partisanship, which in France is known as bipolarisation [fr] or tripolarisation .

To better understand the subject, here are some historical explanations concerning the action of these phenomena on French parliamentary life between 1958 and 1997:

  • Before the 1970s and 1980s, there were not, strictly speaking, two major political forces in opposition. Indeed, the SFIO (then the FGDS), the socialists, and the PCF the communists, did not stand down to help each other, although they were both left-wing. Similarly, the currents ranging from the radicals to the moderate right opposed the candidates of the Gaullist party. A form of multi-party democracy dominated at that time.[22]
  • The bipolarization of parliamentary life was, on the other hand, fully acquired between the elections of 1978 and 1986. Indeed, during this period, we find two large coalitions which alternately hold power: the parliamentary right (composed of the RPR and the UDF) and the parliamentary left (composed of the socialists and the communists) [22][5]
  • But from the 1986 elections, Jean-Marie Le Pen's National Front began to gain momentum during the legislative elections. More particularly in 1997, his party made a fairly significant breakthrough. Although the FN's score was respectable in the first round, it won very few seats in the National Assembly, in particular because of withdrawals in order to form
  • "a Republican Front [fr]" against the extreme right. We cannot truly speak of tripolarization, because Jean-Marie Le Pen's party had too little presence in the chamber, but we can still point to the rise of a third camp in French political life.[22][23]

The relationship between bipolarization, tripolarization and the number of second rounds is therefore as follows:

In the event of bipolarization, voters will massively shift to two political camps (in a more or less balanced way). In this situation, the other candidates will then receive very few votes: in general, they will not reach the minimum threshold of registered voters to qualify for the second round.

Bipolarization thus favours duels between two parties.

On the other hand, in the event of tripolarization, the votes of the French will be distributed in particular among 3 political groups (in a more or less balanced way). Thus, in this situation and with a fairly good turnout, the three candidates will be selected in the second round.

Tripolarization thus favours triangular elections.

By superimposing this influence factor on the curve of second rounds with more than two candidates during the legislative elections (1958 - 1997), the correlation is more accurate.

Influence of bipolarization, tripolarization and multiparty-ism on the number of 2nd rounds in French legislative elections (period 1958 - 1997)
  • During the period when multipartyism dominated, many second rounds took place with more than two candidates. Also, we note more precisely the presence of quadrangular, quinquangular and sexangular: this would not happen again during the century after the 1973 elections, the last marked by multipartyism
  • During the period of bipolarization, the number of triangular races collapses, to only one occurrence for each election
  • Finally, as the National Front began to gain momentum around 1986, the number of second rounds with more than two candidates rose again, reaching a fairly high figure in 1997. Indeed, during these elections, Jean-Marie Le Pen's party made a breakthrough: the number of three-way contests peaked at 79 (105 before the withdrawals)[5]

Withdrawals

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Finally, a final crucial factor in understanding the number of triangular elections is the phenomenon of withdrawal from the second round.

Indeed, in the case of the 2024 French legislative election in which 89 triangular races were recorded.[12] This number may be surprising because it represents only ten more than in the 1997 French legislative election, in a context where the National Front collected far fewer votes than the National Rally, and where the tripolarization of French political was similar to 2024.

To understand, you have to know that before the withdrawals, the number of three-way races was 306, a value in line with the context of tripolarization and high participation mentioned above. In the end, no less than two thirds of the three-way races were cancelled, because many candidates withdrew. The reason is as follows: while the National Rally came out on top in the first round in many constituencies, the presidential majority and the new popular front decided to withdraw their candidates who came in third place, in order to "block the extreme right" and form a "Republican Front [fr]".[12]

This process of withdrawing the least well-placed candidates to prevent the first from winning the election had already happened before, but in a much less widespread way.

The lowest placed candidates having withdrawn, this explains why the number of real three-way races is not as high as one might think.

Synthesis

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To summarize the different factors impacting the number of triangular elections and their influence, here is a summary table:

Influencing factor Nature of influence
Minimum threshold required to qualify for the 2nd round in % of votes cast increase
Minimum threshold required to qualify for the 2nd round in % of registrants decrease
Lowering of the minimum threshold required to qualify for the 2nd round increase
Increase in the minimum threshold required to qualify for the 2nd round decrease
High participation increase*
High abstention decrease*
Bipolarization decrease
Tripolarization or multipartyism increase
Disclaimers decrease

*Note that in the case of regional and municipal elections (of more than 1000 inhabitants) where the retention threshold is calculated from the number of votes cast, the participation rate has no influence on the number of three-way races.[17][18]

Quadrangular, quinquangular...

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Beyond the triangular election scenario, quadrangular, quinquangular, sexangular, heptangular or even octangular elections may also occur, during which four, five, six, seven or eight candidates respectively remain in the second round.

These situations, more common during regional and municipal elections, remain extremely rare during legislative elections.

References

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  1. ^ "Législatives 2024 : qu'est-ce qu'une triangulaire ? - France Bleu". ici par France Bleu et France 3 (in French). 25 June 2024. Retrieved 12 August 2024.
  2. ^ "The three-way factor that makes France's election results so unusual". RFI. 1 July 2024. Retrieved 12 August 2024.
  3. ^ "06 - Elections législatives françaises". Communauté de Communes Nièvre et Somme (in French). 2024. Retrieved 9 August 2024.
  4. ^ Rémond, René (1954). Les Droites en France (in French). Paris: Aubier. ISBN 2-7007-0260-3.
  5. ^ a b c d e "La bipolarisation de la vie politique française". www.france-politique.fr (in French). Retrieved 3 June 2017.
  6. ^ "Soixante-seize triangulaires en présence de l'extrême droite". Le Monde (in French). 29 May 1997.
  7. ^ Vernhes, Clarisse (13 June 2002). "Il n'y aura que dix triangulaires !". RFI (in French).
  8. ^ de Montvalon, Jean-Baptiste (13 June 2007). "Le second tour des législatives ne comportera qu'une seule triangulaire". Le Monde (in French).
  9. ^ Sénécat, Adrien (26 April 2017). "Pourquoi l'issue des législatives est incertaine, quel que soit le vainqueur du 7 mai". Le Monde (in French). ISSN 1950-6244. Retrieved 14 June 2017.
  10. ^ Boichot, Loris (12 June 2017). "Législatives : avec l'abstention record, une seule triangulaire au second tour". Le Figaro (in French). ISSN 0182-5852. Retrieved 14 June 2017.
  11. ^ Quentin, Arthur (13 June 2022). "Législatives 2022: des triangulaires serrées dans sept circonscriptions". Libération (in French).
  12. ^ a b c d Le Borgne, Brice (3 July 2024). "Législatives 2024 : triangulaires, duels... Visualisez les configurations du second tour après les nombreux désistements". France Info (in French).
  13. ^ "Gains seen for far-right in French regional polls". France 24. 20 June 2021. Retrieved 12 August 2024.
  14. ^ "Mode de scrutin des élections législatives". Politiquemania. 2024. Retrieved 11 August 2024.
  15. ^ "Loi n°66-1022 du 29 décembre 1966 modifiant et completant le code electoral". Légifrance. 30 December 1966. Retrieved 9 August 2024.
  16. ^ "Loi n°76-665 du 19 juillet 1976 modifiant certaines dispositions du code electoral et du l'administration communale". Légifrance (in French). 20 July 1976. Retrieved 9 August 2024.
  17. ^ a b "Élections régionales : le mode de scrutin". Vie publique. 4 March 2021. Retrieved 8 August 2024.
  18. ^ a b "Quel est le mode de scrutin des élections municipales dans les communes de 1 000 habitants et plus ?". Vie publique. 4 September 2023. Retrieved 8 August 2024.
  19. ^ "Élections départementales : le mode de scrutin". Vie publique. 22 March 2021. Retrieved 8 August 2024.
  20. ^ "Règles du jeu, candidats… Mode d'emploi du scrutin en cinq points". La Voix Du Nord. 6 June 2017. Retrieved 11 July 2024.
  21. ^ Sheelah Delestre (8 July 2024). "Part des personnes inscrites sur les listes électorales ayant voté aux élections législatives en France entre 1928 et 2024, au premier et au second tour". Statista. Retrieved 11 August 2024.
  22. ^ a b c "Elections législatives 1958-2012". data.gouv.fr. Retrieved 2 October 2016..
  23. ^ Florian Gouthière (25 June 2024). "Législatives : triangulaires, conditions de maintien au second tour... quelles conséquences à la hausse de la participation ?". Libération. Retrieved 10 August 2024.