This note considers the equilibrium outcomes of the preference revelation games in the general model of indivisible good allocation introduced by [Sönmez, T., 1999. Strategy-proofness and essentially single-valued cores. Econometrica 67, 677-689]. We adopt the concepts of coalitional equilibria...

In a simple game, coalitions belonging to a given class are supposed to be "absolutely powerful" while others have no power. We attempt to make this distinction operational. Toward this end, we propose two axioms, Exclusion and Strong Non-Discrimination. Strong Non-Discrimination describes...