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Highest averages method information


In mathematics, economics, and social choice theory, the highest averages method, also called the divisor method,[1] is an apportionment algorithm most well-known for its common use in proportional representation. Divisor algorithms seek to fairly divide a legislature between several groups, such as political parties or states. More generally, divisor methods are used for rounding a set of real numbers to a whole number of objects.[1][2]

Divisor methods aim to treat voters equally by ensuring every legislator represents an equal number of voters, as nearly as possible.[3]: 30 

  1. ^ a b Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Divisor Methods of Apportionment: Divide and Round", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
  2. ^ Pukelsheim, Friedrich (2017), "From Reals to Integers: Rounding Functions, Rounding Rules", Proportional Representation: Apportionment Methods and Their Applications, Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
  3. ^ Balinski, Michel L.; Young, H. Peyton (1982). Fair Representation: Meeting the Ideal of One Man, One Vote. New Haven: Yale University Press. ISBN 0-300-02724-9.

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multiwinner elections. It is a multiwinner approval method that extends the highest averages method of apportionment commonly used to calculate apportionments...

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seats using a highest averages method, the first vote constituency seats already won are taken into account when calculating party averages, with the aim...

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