The Epsilon Core of a Large Game
Suﬀicient conditions are given for large replica games without side payments to have non-empty approximate cores for all suﬀiciently large replications. No “balancedness” assumptions are required. The conditions are superadditivity, a very weak boundedness condition, and convexity of the payoﬀ sets. An example is provided to show that under these conditions, the (exact) core well may be empty.
Wooders, Myrna Holtz, "The Epsilon Core of a Large Game" (1981). Cowles Foundation Discussion Papers. 848.