We study the core of a class of non-atomic games which have a unique concave extension on the space of ideal sets. We show that if the extension satisfies some weak continuity properties,then the game has a non empty core iff its extension is homogeneous along the diagonal. We use this result to...

Within the framework of (pure) exchange economies, we demonstrate that the von Neumann and Morgenstern stable set in the allocation space may differ from that in the corresponding utility space. Following Harsanyi (1974, Management Sci. 20, 1472-1495), we then define the notion of the...