Divisor-based biproportional apportionment in electoral systems / Sebastian Maier in Management science, Vol. 56 N° 2 (Fevrier 2010)  

Public ISBD [article]  inManagement science > Vol. 56 N° 2 (Fevrier 2010) . - pp. 373-387 Titre : Divisor-based biproportional apportionment in electoral systems : A real-life benchmark study Type de document : texte imprimé Auteurs : Sebastian Maier, Auteur ; Petur Zachariassen, Auteur ; Martin Zachariasen, Auteur Année de publication : 2010 Article en page(s) : pp. 373-387 Note générale : Management Langues : Anglais (eng) Mots-clés : Electoral systems Divisor-based biproportional apportionment Computer simulation Index. décimale : 658 Organisation des entreprises. Techniques du commerce Résumé : Biproportional apportionment methods provide two-way proportionality in electoral systems where the electoral region is subdivided into electoral districts. The problem is to assign integral values to the elements of a matrix that are proportional to a given input matrix, and such that a set of row- and column-sum requirements are fulfilled. In a divisor-based method for biproportional apportionment, the problem is solved by computing appropriate row and column divisors, and by rounding the quotients. We present a comprehensive experimental evaluation of divisor-based biproportional apportionment in an electoral system context. By performing experiments on real-life benchmark instances (election data with multimember districts), we evaluate the general quality of divisor-based apportionments with respect to, e.g., deviation from quota, reversal orderings, and occurrences of ties. For example, we studied the frequency in which a party with a higher vote count in a district ended up with fewer seats in that district. DEWEY : 658 ISSN : 0025-1909 En ligne : http://mansci.journal.informs.org/content/56/2.toc [article] Divisor-based biproportional apportionment in electoral systems : A real-life benchmark study [texte imprimé] / Sebastian Maier, Auteur ; Petur Zachariassen, Auteur ; Martin Zachariasen, Auteur . - 2010 . - pp. 373-387. Management Langues : Anglais (eng) in Management science > Vol. 56 N° 2 (Fevrier 2010) . - pp. 373-387 Mots-clés : Electoral systems Divisor-based biproportional apportionment Computer simulation Index. décimale : 658 Organisation des entreprises. Techniques du commerce Résumé : Biproportional apportionment methods provide two-way proportionality in electoral systems where the electoral region is subdivided into electoral districts. The problem is to assign integral values to the elements of a matrix that are proportional to a given input matrix, and such that a set of row- and column-sum requirements are fulfilled. In a divisor-based method for biproportional apportionment, the problem is solved by computing appropriate row and column divisors, and by rounding the quotients. We present a comprehensive experimental evaluation of divisor-based biproportional apportionment in an electoral system context. By performing experiments on real-life benchmark instances (election data with multimember districts), we evaluate the general quality of divisor-based apportionments with respect to, e.g., deviation from quota, reversal orderings, and occurrences of ties. For example, we studied the frequency in which a party with a higher vote count in a district ended up with fewer seats in that district. DEWEY : 658 ISSN : 0025-1909 En ligne : http://mansci.journal.informs.org/content/56/2.toc

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