The core of a class of non-atomic games which arise in economic applications.

Abstract. We study the core of a non-atomic game v which is uniformly continuous with respect to the DNA-topology and continuous at the grand coalition. Such a game has a unique DNA-continuous extension v on the space B[sub 1] of ideal sets. We show that if the extension v is concave then the core of the game v is non-empty iff v is homogeneous of degree one along the diagonal of Bi. We use this result to obtain representation theorems for the core of a nonatomic game of the form v = f omicron mu where mu is a finite dimensional vector of measures and f is a concave function. We also apply our results to some nonatomic games which occur in economic applications. [ABSTRACT FROM AUTHOR]