Fair Apportionment in the View of the Venice Commission's Recommendation
In this paper we analyze the consequences of the fairness recommendation of the Venice Commission in allocating voting districts among larger administrative regions. This recommendation requires the size of any constituency not to differ from the average constituency size by more than a fixed limit. We show that this minimum difference constraint, while attractive per definition, is not compatible with monotonicity and Hare-quota properties, two standard requirements of apportionment rules. We present an algorithm that efficiently finds an allotment such that the differences from the average district size are lexicographically minimized. This apportionment rule is a well-defined allocation mechanism compatible with and derived from the recommendation of the Venice Commission. Finally, we compare this apportionment rule with mainstream mechanisms using real data from Hungary and the United States.
|Date of creation:||Nov 2013|
|Contact details of provider:|| Postal: 1084 Budapest, Tavaszmezö u. 15-17|
Web page: http://www.kgk.uni-obuda.hu
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Rose, Richard & Bernhagen, Patrick & Borz, Gabriela, 2012. "Evaluating competing criteria for allocating parliamentary seats," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 85-89.
- 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," PSE Working Papers halshs-00623031, HAL.
- Gabrielle Demange, 2012. "On party-proportional representation under district distortions," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00670843, HAL.
- Yukio Koriyama & Jean-François Laslier & Antonin Macé & Rafael Treibich, 2013. "Optimal Apportionment," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 584-608.
- Yukio Koriyama & Jean-François Laslier & Antonin Macé & Rafael Treibich, 2012. "Optimal Apportionment," Working Papers hal-00667852, HAL.
- Yukio Koriyama & Antonin Macé & Rafael Treibich & Jean-François Laslier, 2013. "Optimal Apportionment," Post-Print halshs-01321784, HAL.
- Lauwers, Luc & Van Puyenbroeck, Tom, 2008. "Minimally Disproportional Representation: Generalized Entropy and Stolarsky Mean-Divisor Methods of Apportionment," Working Papers 2008/24, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
- Luc Lauwers & Tom Van Puyenbroeck, 2008. "Minimally disproportional representation: generalized entropy and Stolarsky Mean-Divisor Methods of Apportionment," Working Papers Department of Economics ces0819, KU Leuven, Faculty of Economics and Business, Department of Economics.
- Kóczy Á., László & Biró, Péter & Sziklai, Balázs, 2012. "Választókörzetek igazságosan?
[Fair apportionment of voting districts in Hungary]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(11), pages 1165-1186.
- repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
- Laslier, Jean-François, 2012. "Why not proportional?," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 90-93.
- Faruk Gul & Wolfgang Pesendorfer, 2010. "Strategic Redistricting," American Economic Review, American Economic Association, vol. 100(4), pages 1616-1641, September.
- Grimmett, Geoffrey R., 2012. "European apportionment via the Cambridge Compromise," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 68-73.
- Chambers, Christopher P. & Miller, Alan D., 2013. "Measuring legislative boundaries," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 268-275. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:pkk:wpaper:1302. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alexandra Vécsey)
If references are entirely missing, you can add them using this form.