Einy, EzraMoreno, DiegoShitovitz, Benyamin2009-05-142009-05-141999-02International Journal of Game Theory. 1999, vol. 28, nº 1, p. 1-141432-1270 (Online)https://hdl.handle.net/10016/4221We 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 on the space B 1 of ideal sets. We show that if the extension is concave then the core of the game v is non-empty iff is homogeneous of degree one along the diagonal of B 1. We use this result to obtain representation theorems for the core of a non-atomic game of the form v=f where μ is a finite dimensional vector of measures and f is a concave function. We also apply our results to some non-atomic games which occur in economic applications.application/pdfeng© SpringerCoalitional gameCoreNon-atomic gamesresearch articleEconomía10.1007/s001820050094open access