24 Pages Posted: 14 Feb 2014 Last revised: 2 Mar 2016
Date Written: October 25, 2015
There are many situations in which different groups make collective decisions by committee voting, with each group represented by a single person. This paper is about two closely related problems. The first is that of how to measure the inequality of a voting system in such a setting. The second is the inverse power problem: the problem of finding voting systems that approximate equal indirect voting power as well as possible. I argue that the coefficient of variation is appropriate to measure the inequality of a voting system and to specify the inverse problem. I then show how specifying the inverse problem with the coefficient of variation compares to using existing objective functions.
Keywords: measuring inequality, inverse power problem, indirect voting power, assembly of representatives
JEL Classification: D71, D72
Suggested Citation: Suggested Citation
Weber, Matthias, Two-Tier Voting: Measuring Inequality and Specifying the Inverse Power Problem (October 25, 2015). Mathematical Social Sciences, 79:40-45, 2016. Available at SSRN: https://ssrn.com/abstract=2393381 or http://dx.doi.org/10.2139/ssrn.2393381