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

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...