Seat allocation distributions and seat biases of stationary apportionment methods for proportional representation

Udo Schwingenschlögl () and Mathias Drton

Metrika: International Journal for Theoretical and Applied Statistics, 2004, vol. 60, issue 2, 202 pages

Abstract: In a proportional representation system, apportionment methods are used to round the vote proportion of a party to an integer number of seats in parliament. Assuming uniformly distributed vote proportions, we derive the seat allocation distributions for stationary divisor methods. An important characteristic of apportionment methods are seat biases, that is, expected differences between actual seat numbers and ideal shares of seats, when the parties are ordered from largest to smallest. We obtain seat bias formulas for the stationary divisor methods and for the quota method of greatest remainders. Copyright Springer-Verlag 2004

Keywords: Apportionment methods; rounding methods; Webster; Jefferson; Hamilton; Sainte-Laguë; d’Hondt; Hare (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:60:y:2004:i:2:p:191-202

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DOI: 10.1007/s001840400347

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