Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study
AbstractBiproportional 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.
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Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 56 (2010)
Issue (Month): 2 (February)
electoral systems; divisor-based biproportional apportionment; computer simulation;
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- Gabrielle Demange, 2011.
"On party-proportional representation under district distortions,"
PSE Working Papers
- Demange, Gabrielle, 2012. "On party-proportional representation under district distortions," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 181-191.
- Gabrielle Demange, 2011. "On party-proportional representation under district distortions," Working Papers halshs-00623031, HAL.
- Gabrielle Demange, 2011. "On allocating seats to parties and districts: apportionments," Working Papers halshs-00644439, HAL.
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