COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
AT YALE UNIVERSITY

Box 208281
New Haven, CT 06520-8281

COWLES FOUNDATION DISCUSSION PAPER NO. 612

"The Epsilon Core of a Large Game"

Myrna Holtz Wooders

December 1981

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.