  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.
