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Largest remainders method information


The largest remainders methods are one way of allocating seats proportionally.[1] They contrast with the more popular highest averages methods (also called divisor methods), which are generally preferred by social choice theorists.

When using the Hare quota (described below), the method is known as the Hare–Niemeyer method, Hamilton's method, or occasionally as Vinton's method.

  1. ^ Tannenbaum, Peter (2010). Excursions in Modern Mathematics. New York: Prentice Hall. p. 128. ISBN 978-0-321-56803-8.

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Largest remainders method

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The largest remainders methods are one way of allocating seats proportionally. They contrast with the more popular highest averages methods (also called...

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Hare quota

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weakly-proportional representation using the largest remainder method with Hare quota in 1997[citation needed]. Typically, largest remainders paired with the Hare quota...

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Electoral system

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the D'Hondt method (of which there are variants including Hagenbach-Bischoff) and the Webster/Sainte-Laguë method. Under largest remainder systems, parties'...

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Proportional representation

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is done by a proportional formula or method; for example, the Sainte-Laguë method – these are the same methods that may be used to allocate seats for...

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A Condorcet method (English: /kɒndɔːrˈseɪ/; French: [kɔ̃dɔʁsɛ]) is an election method that elects the candidate who wins a majority of the vote in every...

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Ranked voting

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candidates based on their ranking in the ordering. Another example (Dowdall's method) assigns 1, 1⁄2, 1⁄3... points to the 1st, 2nd, 3rd... candidates on each...

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2024 Namibian general election

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constituencies based on the regions. Seats are allocated using the largest remainder method. As President Geingob was ineligible for reelection after having...

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Comparison of the Hare and Droop quotas

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quotas in common use are the Hare quota and the Droop quota. The largest remainder method of party-list proportional representation can also use Hare quotas...

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Electoral quota

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Quota rule Single transferable vote Proportional representation Largest remainders method Lijphart, Arend (1994). "Appendix A: Proportional Representation...

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Quota rule

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apportionment method satisfies the quota rule, it must fail to satisfy some apportionment paradox. For instance, although Largest remainder method satisfies...

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2024 Rwandan general election

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with an electoral threshold of 5%; seats are allocated using the largest remainder method. The remaining 27 seats are indirectly elected by local and national...

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List of legislatures by country

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nationale, APN) Lower 5 Open list proportional representation with the largest remainder method by province 407 80,303 Council of the Nation (مجلس الأمة, Majlis...

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2024 Democratic Republic of the Congo Senate election

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single preferential vote. The distribution is done according to the largest remainder method. Each senator is elected with two substitutes. Former Presidents...

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List of electoral systems by country

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two or more of these methods, and produce chamber where different members are elected through two or more different election methods. (Mixed Member Proportional...

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National Council of Slovakia

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suffrage under proportional representation with seats distributed via largest remainder method with Hagenbach-Bischoff quota every four years. Slovakia's parliament...

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Schulze method (/ˈʃʊltsə/) is a single winner ranked-choice voting rule developed by Markus Schulze. It is also known as the beatpath method. The Schulze...

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2025 Cameroonian parliamentary election

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proportional share of the remaining half of the seats based on the largest remainder method and Hare quota. "EISA's Comprehensive African election calendar"...

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Droop quota

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needed] It is also used in South Africa to allocate seats by the largest remainder method.[citation needed] The exact form of the Droop quota for a k {\displaystyle...

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Parallel voting

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while in academic literature it is sometimes called the superposition method within mixed systems. Parallel voting, as a form of mixed member majoritarian...

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contingent vote, systems like instant-runoff voting (IRV), Coombs' method, and Baldwin's method allow for many rounds of counting, eliminating only one weakest...

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Highest averages method

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electoral quota, which can cause different states' remainders to respond erratically. Divisor methods also satisfy resource or house monotonicity, which...

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Condorcet winner criterion

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majority-rule principle, also known as the Condorcet criterion. Condorcet voting methods extend majority rule to elections with more than one candidate. Surprisingly...

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