Sainte-Laguë method: Difference between revisions
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The modified Sainte-Laguë method is used for elections to the Danish parliament. |
The modified Sainte-Laguë method is used for elections to the Danish parliament. |
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== Allocation == |
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There is a longer article on Wikipedia on the same subject. |
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After all the votes have been tallied, successive [[quota]]s are calculated for each party. The formula for the quotient is <ref name="lijphart">{{citation|contribution=Degrees of proportionality of proportional representation formulas|first=Arend|last=Lijphart|authorlink=Arend Lijphart|pages=170–179|title=Electoral Laws and Their Political Consequences|volume=1|series=Agathon series on representation|editor1-first=Bernard|editor1-last=Grofman|editor2-first=Arend|editor2-last=Lijphart|publisher=Algora Publishing|year=2003|isbn=9780875862675}}. See in particular the section "Sainte-Lague", [https://books.google.com/books?id=o1dqas0m8kIC&pg=PA174 pp. 174–175].</ref> |
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:: <math>\text{quotient} = \frac V {2s+1}</math> |
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where: |
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* ''V'' is the total number of votes that party received, and |
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* ''s'' is the number of seats that have been allocated so far to that party, initially 0 for all parties. |
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Whichever party has the highest quotient gets the next seat allocated, and their quotient is recalculated. The process is repeated until all seats have been allocated. |
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The Webster/Sainte-Laguë method does not ensure that a party receiving more than half the votes will win at least half the seats; nor does its modified form.<ref>{{citation|contribution=Election inversions under proportional representation|url=http://userpages.umbc.edu/~nmiller/RESEARCH/NRMILLER.PCS2013.pdf|first=Nicholas R.|last=Miller|date=February 2013|title=Annual Meeting of the Public Choice Society, New Orleans, March 8-10, 2013}}.</ref> |
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== Extensions of theory == |
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Several [[cardinal PR]] methods reduce to D'Hondt if certain divisors are used. Some of which are: |
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* [[Sequential proportional approval voting]] |
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* [[Single distributed vote]] |
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* [[Reweighted Range Voting]] |
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== Notes == |
== Notes == |