Sainte-Laguë method: Difference between revisions
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The modified Sainte-Laguë method is used for elections to the Danish parliament.
== Allocation ==
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>
:: <math>\text{quotient} = \frac V {2s+1}</math>
where:
* ''V'' is the total number of votes that party received, and
* ''s'' is the number of seats that have been allocated so far to that party, initially 0 for all parties.
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.
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>
== Extensions of theory ==
Several [[cardinal PR]] methods reduce to D'Hondt if certain divisors are used. Some of which are:
* [[Sequential proportional approval voting]]
* [[Single distributed vote]]
* [[Reweighted Range Voting]]
== Notes ==
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