Cores and capacities of compound simple games

We provide an exact formula for the Nakamura number of a compound simple game. Also, we investigate the capacity of compound games. In particular, we show that if the components are not weak, then the capacity of the compound game is 2.I am grateful to R. Holzman for some helpful remarks.The first version of this paper was written when the author was visiting the Department of Economics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061.