Sufficient conditions for a general n-person game to have a nonempty i
nner core are established. They relate to the balancedness condition a
nd characterize a class of NTU games that is larger than the class of
compactly generated and balanced with slack games. The inner core of a
game coincides with the inner core of its cover. Moreover, it shrinks
under convex utility transformations of the game. Journal of Economic
Literature Classification Number: C71. (C) 1994 Academic Press, Inc.