In this paper we address the problem of looking for resource allocation mechanisms which would be accepted as equitable from Sen's point of view, in a framework of economic environments. We simplify the idea of equalizing capabilities by means of the equalization of a capability index. Then, we...

In thib paper we provide Lagrangean conditions in a problem generalenough to encompass both the classical quasiconcave optimization problemand the maximization of binary relations.The formal results are applied to consumer theory, providinganalytical characterizations of the solution to the...

In this paper a new numerical representation of preferences (by means of set-valued real functions) is proposed. Our representation extends the usual utility function (in case preferences are preorder-type) as well as the pairwise representation (in case preferences are interval-order type)....

A diagonal image may be defined as a point in the image of agiven mapping, whose components are all equal. This paper investigates sufficient conditions for a set-valued mapping to have quasi-diagonal images(in an extended sense). More specifically, we shall show that anupper-hemicontinuous...

In this work we deal with rationing problems. In particular with claims problems with indivisible goods, that is, problems in which a certain amount of indivisible units (of an homogeneous good), has to be distributed among a group of agents, when this amount is not enough to satisfy agents'...

This paper deals with the analysis of allocation problems with single peaked preferences, under the condition of agenda-independence (that is, when the allocation rule yields the same final outcome, no matter how the problem is subdivided into partial problems). Since the Uniform rule does not...

The problem of distributing a given amount of a divisible good among a set of agents which may have individual entitlements is considered here. A solution to this problem, called the Rights-Egalitarian Solution, is proposed and characterized. This allocation rule divides equally among the agents...

In this paper a numerical representation of preferences by means of subsets of the real line is proposed. This representation turns out to be natural for partial orderings. Some results on this representation, extending those for utility functions and pairwise representations, are provided for...

The purpose of this paper is to provide a new solution concept for bargaining problems, which modifies Chun's Equal-Loss Solution in a way that ensures the individual rationality. We also consider its lexicographic extension which turns out to be both individually rational and Pareto Optimal....

Some shortcomings of the equal-loss solution for bargaining problems are noticed: in general, it is not individually rational, and in case it is, then turns out a selection of the YU solutions. Finally, a new way of proving characterization results is provided.