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

Bouyssou, Denis; Marchant, Thierry; Marc, Pirlot (2018), A characterization of two disproportionality and malapportionment indices: the Duncan and Duncan index and the Lijphart index, Annals of Operations Research. 10.1007/s10479-018-3073-y

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Article accepté pour publication ou publié
Date
2018
Journal name
Annals of Operations Research
Publisher
Springer
Publication identifier
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Author(s)
Bouyssou, Denis cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Marchant, Thierry

Marc, Pirlot
Umons
Abstract (EN)
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.
Subjects / Keywords
Disproportionality index; Malapportionment; Proportional representation; Duncan and Duncan; Loosemore–Hanby; Lijphart