On Penrose's square-root law and beyond
Probability
2007-05-23 v1
Abstract
In certain bodies, like the Council of the EU, the member states have a voting weight which depends on the population of the re- spective state. In this article we ask the question which voting weight guarantees a `fair' representation of the citizens in the union. The tra- ditional answer, the square-root law by Penrose, is that the weight of a state (more precisely: the voting power) should be proportional to the square-root of the population of this state. The square root law is based on the assumption that the voters in every state cast their vote inde- pendently of each other. In this paper we concentrate on cases where the independence assumption is not valid.
Cite
@article{arxiv.math/0611418,
title = {On Penrose's square-root law and beyond},
author = {Werner Kirsch},
journal= {arXiv preprint arXiv:math/0611418},
year = {2007}
}
Comments
19 pages