On Tue, 5 Feb 2002, [iso-8859-1] Alex Small wrote: > > Definition: Two sets A and B have equal voting power if > > 1) for any set S such that if S is not a majority but S U A is a > majority then S U B is also a majority > and > 2) for any set T such that T is not a majority but S U B is a majority > then S U A is also a majority.
I assume you mean T U B and T U A in this last sentence. Are you thinking disjoint unions? I ask because it could be that T is equal to A. In that case we we would have T U B = A U B, which could easily be a majority without having the set A = T U A being a majority. Forest
