In this paper we analyze the explicit representation of fixed agenda social choice correspondence under different rationality assumptions (independence, neutrality, monotonicity, ...). It is well know in the literature that, under some of theses assumptions, the existence of dictators,...

This paper deals with the existence and properties of the demand correspondence when agents' preferences are pseudotransitive. It is shown that a consumption plan belongs to the demand mapping if and only if it is a maximizer of a real-valued weak utility function. Further properties, as...

Following the work of Bandyopadhyay and Sengupta, we analyze the rationalization of a choice function in terms of the revealed preference but in a more general context: choice sets with a continuum of alternatives. Firstly it is proved that some results which are verified in the finite case are...

In a choice situation, it is usually assumed that the agents select the maximal elements inaccordance with their preference relation. Nevertheless, there are situations in which a selectioninside this maximal set is needed. In such a situation we can select randomly some of thesemaximal...

A weaker than usual continuity condition for acyclic preferences is introduced. For preorders this condition turns out to be equivalent to lower continuity, but in general this is not true. By using this condition, a numerical representation which is upper semicontinuous is obtained. This fact...

Tournaments are complete and asymmetric binary relations. This type of binary relation rules out the possibility of ties or indifferences which are common in different contexts. In this work we generalize, from a normative point of view, some important tournaments solutions (top cycle, uncovered...

The existence of maximal elements for binary preference relations is analyzed without imposing transitivity or convexity conditions. From each preference relation a new acyclic relation is defined in such a way that some maximal elements of this new relation characterize maximal elements of the...

How should scholarships be distributed among the (public) higher education students? We raise thissituation as a redistribution problem. Following the approach developed in Fleurbaey (1994) andBossert (1995), redistribution should be based on the notion of solidarity and it re-allocates...

In a distribution problem, and specifically in bankruptcy issues, the Proportional (P) and theEgalitarian (EA) divisions are two of the most popular ways to resolve the conflict. TheConstrained Equal Awards rule (CEA) is introduced in bankruptcy literature to ensure that noagent receives more...

It is usually assumed that maximal elements are the best option for an agent. But there are situations in which we can observe that maximal elements are “different” one from another. This is the case of partial orders, in which one maximal element can be strictly preferred to almost every...