A characterization of two disproportionality and malapportionment indices: the Duncan and Duncan index and the Lijphart index

Denis Bouyssou, Thierry Marchant and M. Pirlot ()
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M. Pirlot: Université de Mons

Annals of Operations Research, 2020, vol. 284, issue 1, No 7, 147-163

Abstract: Abstract Disproportionality indices aim at measuring to what extent the composition of a parliament differs from the distribution of the votes among parties. Malapportionment indices measure to what extent the number of parliament seats attached to each district differs from the distribution of the population among districts. Since there exist many different such indices, some conditions have recently been proposed for assessing the merits of the various indices. In this paper, we propose a characterization of two disproportionality and malapportionment indices: the Duncan and Duncan index (also called Loosemore–Hanby) and the Lijphart index.

Keywords: Disproportionality index; Malapportionment; Proportional representation; Duncan and Duncan; Loosemore–Hanby; Lijphart (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10479-018-3073-y

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