Representations of Binary Decision Rules by Generalized Decisiveness Structures

This paper is motivated by two apparently dissimilar deficiencies in the theory of social choice and the theory of cooperative games. Both deficiencies stem from what we regard as an inadequate conception of decisiveness or coalitional power. Our main purpose will be to present a more general concept of decisiveness and to show that this notion allows us to characterize broad classes of games and social choice procedures.