CFDP 612

The Epsilon Core of a Large Game


Publication Date: December 1981

Pages: 34


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.