Title

The Epsilon Core of a Large Game

Document Type

Discussion Paper

Publication Date

12-1-1981

CFDP Number

612

CFDP Pages

34

Abstract

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.

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