A general model of a coalition production economy allowing set-up costs, indivisibilities, and non-convexities is developed. It is shown that for all sufficiently large replications, approximate cores of the economy are non-empty.

Sufficient conditions are demonstrated for the non-emptiness of asymptotic cores of sequences of replica games, i.e., for all sufficiently large replications, the games have non-empty approximate cores and the approximation can be made arbitrarily "good." The conditions are simply that the games...