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Title: Minimally disproportional representation: generalized entropy and Stolarsky mean-divisor methods of apportionment
Authors: Lauwers, Luc
Van Puyenbroeck, Tom
Issue Date: Jul-2008
Publisher: K.U.Leuven, Faculty of Economics and Applied Economics : Department of Economics
Series Title: CES - Discussion paper series (DPS) 08.19 pages:1-23
Abstract: We study divisor methods, the primary class to solve apportionment problems, based upon Stolarsky means Sαβ. These encompass the five traditional methods. We disclose a one-to-one relation between methods of the form Sα1 and aggregate measures of seat/vote disproportionality of the generalized entropy family: using a divisor method based upon such a generalized logarithmic mean coincides with minimizing a generalized entropy inequality measure. The Balinski-Young ‘favoring small states’.-ordering ranks the generalized entropy methods. This framework improves upon an inconsistency in the traditional inequality approach to apportionment problems, which we illustrate by showing that the major rationale of the ‘method of equal proportions’.is consistently preserved by a non-traditional method.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Research Center of Econometrics, Leuven
Research Center of Public Economics, Leuven
Research Centre for Economics and Corporate Sustainability, Campus Brussels
Faculty of Economics and Business (FEB) - miscellaneous
Department of ECON-CEDON, Campus Brussels

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