Abstract
An n-tuple is defined for each n-person monotonic characteristic function game. This n-tuple is an imputation when the sum of the components of it is equal to v(N). On the boundary of the set of all monotonic games, we can obtain a condition for the n-tuple being an imputation. The n-tuple belongs to the core when it is an imputation. If the sum of the components of it exceeds v(N), the kernel of the game consists only of interior points of the imputation set.