  In this paper we provide three new results axiomatizing the core of games in
characteristic function form (not necessarily having transferable utility)
obeying an innocuous condition (that the set of individually rational pay-off
vectors is bounded). One novelty of this exercise is that our domain is the
{\em entire} class of such games: i.e., restrictions like "non-levelness" or
"balancedness" are not required.

Theoretical Economics