March 1997 <p> Arrow's ``impossibility'' and similar classical theorems are usually proved for an unrestricted domain of preference profiles. Recent work extends Arrow's theorem to various restricted but ``saturating'' domains of privately oriented, continuous, (strictly) convex, and (strictly)...</p>

Arrow's "impossibility" and similar classical theorems are usually proved for an unrestricted domain of preference profiles. Recent work extends Arrow's theorem to various restricted but "saturating" domains of privately oriented, continuous, (strictly) convex, and (strictly) monotone "economic...

Kenneth J. Arrow's theorem holds when the set of alternatives is an Edgeworth hyperbox and the individuals have classical economic preferences over their consumption sets. (Free disposability is not assumed.) By classical individual preferences the authors mean preorders satisfying continuity,...

We investigate refinements of two solutions, the saddle and the weak saddle, defined by Shapley (1964) for two-player zero-sum games. Applied to weak tournaments, the first refinement, the mixed saddle, is unique and gives us a new solution, generally lying between the GETCHA and GOTCHA sets of...

Arrow's axioms for social welfare functions are shown to be inconsistent when the set of alternatives is the nonnegative orthant in a multidimensional Euclidean space and preferences are assumed to be either the set of analytic classical economic preferences or the set of Euclidean spatial...

In this article we use the theory of power indices to evaluate the respective influence of the two classes of electors in the polling method introduced by the electoral law of 29 June 1820, known as the law of ?double vote?. We show in a simplified framework that the voting power of the ?major?...

This article studies a model of coalition formation for the joint production (and finance) of public projects, in which agents may belong to multiple coalitions. We show that, if projects are divisible, there always exists a stable (secession-proof) structure, i.e., a structure in which no...

In the article, we use two major solutions in cooperative game theory ?the Shapley value and the nucleolus? to study electoral bargaining in the electoral environment characterizing the French Regional elections of March 2010. Classification JEL : D71, D72