Fair Apportionment in the View of the Venice Commission's Recommendation

László Kóczy (), Balázs Sziklai and Péter Biró

No 1302, Working Paper Series from Óbuda University, Keleti Faculty of Business and Management

Abstract: 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.

Keywords: Apportionment; voting; elections; Venice Commission; proportionality; lexicographic ordering JEL Codes: C71; D72 (search for similar items in EconPapers)
Pages: 23 pages
Date: 2013-11
New Economics Papers: this item is included in nep-cdm, nep-gth and nep-pol
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Related works:
Journal Article: Fair apportionment in the view of the Venice Commission’s recommendation (2015)
Working Paper: Fair Apportionment in the View of the Venice Commission's Recommendation (2013)
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