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Economies 2014, 2(1), 45-77; doi:10.3390/economies2010045
Article

Measuring Voting Power in Convex Policy Spaces

Department of Mathematics, University of Bayreuth, Universitätsstr. 30, Bayreuth D-95440, Germany
Received: 20 December 2013 / Revised: 6 February 2014 / Accepted: 20 February 2014 / Published: 6 March 2014
(This article belongs to the Special Issue Game Theory and Political Economy)
Download PDF [373 KB, uploaded 6 March 2014]

Abstract

Classical power index analysis considers the individual’s ability to influence the aggregated group decision by changing its own vote, where all decisions and votes are assumed to be binary. In many practical applications we have more options than either “yes” or “no”. Here we generalize three important power indices to continuous convex policy spaces. This allows the analysis of a collection of economic problems like, e.g., tax rates or spending that otherwise would not be covered in binary models.
Keywords: power; single peaked preferences; convex policy space; group decision making; Shapley-Shubik index; Banzhaf index; nucleolus; simple games; multiple levels of approval power; single peaked preferences; convex policy space; group decision making; Shapley-Shubik index; Banzhaf index; nucleolus; simple games; multiple levels of approval
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kurz, S. Measuring Voting Power in Convex Policy Spaces. Economies 2014, 2, 45-77.

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