Forest 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.
Yes, sorry for the typo. >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. Good point. In my head I always had the idea that the subsets of the electoral college were disjoint, but I never thought to specify it. The physicists' lack of rigor rears its ugly head here.... Thank-you for spotting the error. Alex
