Apportionment methods

H.F. Niemeyer, Alice Niemeyer

    Research output: Contribution to journalArticlepeer-review

    17 Citations (Scopus)


    Most democratic countries use apportionment methods to transform election results into whole numbers, which usually give the number of seats in a legislative body that the parties obtained. Which apportionment method does this best can be specified by measuring the error between the allocated result and the ideal proportion. We show how to find an apportionment method which is best suited to a given error function. We also discuss several properties of apportionment methods that have been labelled paradoxa. In particular we explain the highly publicised “Alabama” Paradox for the Hare/Hamilton method and show that other popular apportionment methods come with their very own paradoxa.
    Original languageEnglish
    Pages (from-to)240-253
    JournalMathematical Social Sciences
    Issue number2
    Publication statusPublished - 2008


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