In this note we introduce weak stability, a relaxation of the concept of stability for the marriage model by assuming that the agents are no longer myopic in choosing a blocking pair. The new concept is based on threats within blocking pairs: an individually rational matching is weakly stable if...

A general procedure inspired by the Shapley value is proposed for decompodsing any inequality index by factor components or by populations subgroups. To do so we define two types of inequality games. Although these games cannot be expressed in terms of unanimity games, an axiomatization of the...

The condorcet winner in an lection is the candidate who would be able to defeat all other candidates in a series pairwise elections. The Condorcet efficiency of a voting procedure is the conditional probability that it will elect the Condorcet winner, given that a Condorcet exists. The study...