Title
A characterization of two disproportionality and malapportionment indices: the Duncan and Duncan index and the Lijphart index
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.
Year
DOI
Venue
2020
10.1007/s10479-018-3073-y
Annals of Operations Research
Keywords
Field
DocType
Disproportionality index, Malapportionment, Proportional representation, Duncan and Duncan, Loosemore–Hanby, Lijphart
Discrete mathematics,Population,Proportional representation,Parliament,Statistics,Mathematics
Journal
Volume
Issue
ISSN
284
1
1572-9338
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Denis Bouyssou132232.89
Thierry Marchant227822.85
Marc Pirlot333339.10