Representation of the core of convex measure games via Kantorovich potentials

We establish a representation of the core of convex measure games by means of rearrangement ideas and the notion of Kantorovich potentials. Our representation was first proved by Marinacci and Montrucchio [Marinacci M., Montrucchio L., 2004. A characterization of the core of convex games through Gateaux derivatives, Journal of Economic Theory, in press] when the underlying measurable structure is that of a standard Borel space. The approach presented here is completely different and does not require this assumption.