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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Gabrielle Demange, 2011. "On allocating seats to parties and districts: apportionments," Working Papers halshs-00644439, HAL.
- Gabrielle Demange, 2011. "On party-proportional representation under district distortions," Working Papers halshs-00623031, HAL.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
If references are entirely missing, you can add them using this form.