An <i>uncovered bargaining solution</i> is a bargaining solution for which there exists a complete and strict relation (tournament) such that, for each feasible set, the bargaining solution set coincides with the uncovered set of the tournament. We provide a characterization of a class of uncovered...

This paper extends the analysis of liberal principles in social choice recently proposed by Mariotti and Veneziani (2009a) to infinitely-lived societies. First, a novel characterisation of the inegalitarian leximax social welfare relation is provided based on the Individual Benefit Principle,...

This paper analyses Rawls's celebrated difference principle, and its lexicographic extension, in societies with a finite and an infinite number of agents. A unified framework of analysis is set up, which allows one to characterise Rawlsian egalitarian principles by means of a weaker version of a...

A multi-valued choice is weak justified if no chosen alternative is dominated by any other obtainable alternative, and for each discarded alternative there is <i>some</i> chosen alternative which dominates it. This definition allows us to build a connection between the behavioral property expressed by...

We provide three alternative characterizations of the proportional solution defined on <i>compact</i> and <i>comprehensive</i> bargaining problems with claims that are not necessarily convex. One characterization result is obtained by using, together with other standard axioms, two solidarity axioms. Another...

I study necessary and sufficient conditions for a choice function to be rationalised in the following sense: there exists a complete asymmetric relation <i>T</i> (a <i>tournament</i>) such that for each feasible (finite) choice situation, the choice coincides with the uncovered set of <i>T</i>. This notion of...

A reason-based choice correspondence rationalizes choice behaviour in terms of a two-stage choice procedure. Given a feasible set <i>S</i>, the individual eliminates from it all of the dominated alternatives according to her fixed (not necessarily complete) strict preference relation, in the first...