that although the game is not convex its core is always non-empty. Furthermore we provide a painting algorithm for large …

condition satisfied by a large class of directed acyclic graphs that is sufficient for balancedness of the associated DAG … show that in general a DAG-game is not concave, even its core might be empty, but we provide an efficiently verifiable …-game. We introduce a network canonization process and prove various structural results for the core of canonized DAG-games, for …