economy, but unlike the weak fine core and the set of fine value allocations, it may also contain allocations which are not …

We study the core of a non-atomic game v which is uniformly continuous with respect to the DNA-topology and continuous …. We show that if the extension ${\overline {v}}$ is concave then the core of the game v is non-empty iff ${\overline {v …}}$ is homogeneous of degree one along the diagonal of B1. We use this result to obtain representation theorems for the core …