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

(2020) ANNALS OF OPERATIONS RESEARCH. 284(1). p.147-163
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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

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Citation

Please use this url to cite or link to this publication:

MLA
Marchant, Thierry, et al. “A Characterization of Two Disproportionality and Malapportionment Indices : The Duncan and Duncan Index and the Lijphart Index.” ANNALS OF OPERATIONS RESEARCH, vol. 284, no. 1, 2020, pp. 147–63, doi:10.1007/s10479-018-3073-y.
APA
Marchant, T., Bouyssou, D., & Pirlot, M. (2020). A characterization of two disproportionality and malapportionment indices : the Duncan and Duncan index and the Lijphart index. ANNALS OF OPERATIONS RESEARCH, 284(1), 147–163. https://doi.org/10.1007/s10479-018-3073-y
Chicago author-date
Marchant, Thierry, Denis Bouyssou, and Marc Pirlot. 2020. “A Characterization of Two Disproportionality and Malapportionment Indices : The Duncan and Duncan Index and the Lijphart Index.” ANNALS OF OPERATIONS RESEARCH 284 (1): 147–63. https://doi.org/10.1007/s10479-018-3073-y.
Chicago author-date (all authors)
Marchant, Thierry, Denis Bouyssou, and Marc Pirlot. 2020. “A Characterization of Two Disproportionality and Malapportionment Indices : The Duncan and Duncan Index and the Lijphart Index.” ANNALS OF OPERATIONS RESEARCH 284 (1): 147–163. doi:10.1007/s10479-018-3073-y.
Vancouver
1.
Marchant T, Bouyssou D, Pirlot M. A characterization of two disproportionality and malapportionment indices : the Duncan and Duncan index and the Lijphart index. ANNALS OF OPERATIONS RESEARCH. 2020;284(1):147–63.
IEEE
[1]
T. Marchant, D. Bouyssou, and M. Pirlot, “A characterization of two disproportionality and malapportionment indices : the Duncan and Duncan index and the Lijphart index,” ANNALS OF OPERATIONS RESEARCH, vol. 284, no. 1, pp. 147–163, 2020.
@article{8590773,
  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.},
  author       = {Marchant, Thierry and Bouyssou, Denis and Pirlot, Marc},
  issn         = {0254-5330},
  journal      = {ANNALS OF OPERATIONS RESEARCH},
  keywords     = {Disproportionality index,Malapportionment,Proportional representation,Duncan and Duncan,Loosemore-Hanby,Lijphart},
  language     = {eng},
  number       = {1},
  pages        = {147--163},
  title        = {A characterization of two disproportionality and malapportionment indices : the Duncan and Duncan index and the Lijphart index},
  url          = {http://dx.doi.org/10.1007/s10479-018-3073-y},
  volume       = {284},
  year         = {2020},
}

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