The problem of aggregating preferences over two alternatives is considered. Three axioms are postulated: unanimity, reducibility (two divergent preferences can be replaced by their aggregation), and anonymity. It is shown that only twelve aggregation rules satisfy the three axioms: the majority...

Two axioms are shown to characterize the relative majority rule when preferences are defined over two alternatives. According to one axiom, if all the individuals in a group are indifferent, then the associated group preference is indifference. The second axiom states that a group S prefers...

In this paper we study an expression for all additive, symmetric and efficient solutions, i.e., the set of axioms that traditionally are used to characterize the Shapley value except for the dummy axiom. Also, we obtain an expression for this kind of solutions by including the self duality...

In this paper we study an expression for all additive, symmetric and efficient solutions, i.e., the set of axioms that traditionally are used to characterize the Shapley value except for the dummy axiom. Also, we obtain an expression for this kind of solutions by including the self duality...

When preferences are defined over two alternatives, the (relative) majority rule is characterized in terms of the four axioms U, P, I, and G. U is unanimity. P is the condition that the union of two unconcerned (that is, indifferent) groups of individuals creates an unconcerned group. I asserts...