  The remoteness from a simple game to a weighted game can be measured by the
concept of the dimension or the more general Boolean dimension. It is known
that both notions can be exponential in the number of voters. For complete
simple games it was only recently shown that the dimension can also be
exponential. Here we show that this is also the case for complete simple games
with two types of voters and for the Boolean dimension of general complete
simple games, which was posed as an open problem.
