Computing the Optimal Weights in a Utilitarian Model of Apportionment

Antonin Macé and Rafael Treibich
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Rafael Treibich: X - École polytechnique - IP Paris - Institut Polytechnique de Paris

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Abstract: We consider the model of optimal apportionment introduced by Koriyama et al. (2011 [8]) and suggest an iterative algorithm for the numerical optimization of the utilitarian social welfare function that is applied to the case of the European Union (EU). Our results confirm that the optimal system of weights exhibits a form of degressive proportionality.

Date: 2011-10-01
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Journal Article: Computing the optimal weights in a utilitarian model of apportionment (2012)
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