Computing the optimal weights in a utilitarian model of apportionment

Antonin Macé and Rafael Treibich

Mathematical Social Sciences, 2012, vol. 63, issue 2, 141-151

Abstract: We consider a model of optimal apportionment in which individuals derive utility from the probability that the collective decision matches their own will. We suggest an iterative algorithm for the numerical optimization of the utilitarian social welfare function and apply it to the case of the European Parliament. Our results confirm that the optimal system of weights exhibits a form of degressive proportionality.

Date: 2012
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Citations: View citations in EconPapers (13)

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Working Paper: Computing the Optimal Weights in a Utilitarian Model of Apportionment (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:63:y:2012:i:2:p:141-151

DOI: 10.1016/j.mathsocsci.2011.10.007

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