The minimum sum representation as an index of voting power

Josep Freixas and Serguei Kaniovski

European Journal of Operational Research, 2014, vol. 233, issue 3, 739-748

Abstract: We propose a new power index based on the minimum sum representation (MSR) of a weighted voting game. The MSR offers a redesign of a voting game, such that voting power as measured by the MSR index becomes proportional to voting weight. The MSR index is a coherent measure of power that is ordinally equivalent to the Banzhaf, Shapley–Shubik and Johnston indices. We provide a characterization for a bicameral meet as a weighted game or a complete game, and show that the MSR index is immune to the bicameral meet paradox. We discuss the computation of the MSR index using a linear integer program and the inverse MSR problem of designing a weighted voting game with a given distribution of power.

Keywords: Minimum integer sum representation; power indices; Bicameral meet; Rankings; Proportional design between shares and power (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:233:y:2014:i:3:p:739-748

DOI: 10.1016/j.ejor.2013.09.010

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