We examine the maximal-element rationalizability of choice functions with arbitrary domains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed relatively thoroughly in the earlier literature, this is not the case

All sufficient (as well as necessary) conditions for a binary relation on a metric space to admit a maximal element on every nonempty compact subset of its domain that have been found so far in the literature can be expressed as the prohibition of certain “configurations. ” No condition

Abstract. We prove some results on maximal elements using the KKM-map principle.

The wide-baseline stereo problem, i.e. the problem of establishing correspon-dences between a pair of images taken from different viewpoints is studied. A new set of image elements that are put into correspondence, the so called extremal regions, is introduced. Extremal regions possess highly de

IVIE working papers offer in advance the results of economic research under way in order to encourage a discussion process before sending them to scientific journals for their final publication. * Thanks are due to José Alcalde, J.V. Llinares and M.C. Sánchez, for helpful comments. The comments and suggestions of a referee's report have improved the work; we are most grateful to her/him. Financial

We present some mathematical theorems which are used to generalize previous results on the existence of maximal elements and of equilibrium. Our main theorem in this paper is a new existence proof for an equilibrium in an abstract economy, which is closely related to a previous result of Borglin

to the maximal elements of a Scott domain must be completely metrizable. 1

preferences. The main result to establish is on an existence criterion for maximal elements of a space equipped with a weak consistent variable preference relation. It is expressed via preference completeness condition which is equivalent to existence of aspiration points. As applications we show that a

, quasi-transitivité, cohérence, transitivité. Mots clés : fonctions de choix, rationalisabilité en termes d'éléments maximaux Abstract We examine the maximal-element rationalizability of choice functions with arbitrary domains. While rationality formulated in terms of the choice of greatest elements

We provide an extension of Browder’s fixed point theorem which is used to prove a very general existence of maximal elements result. This result generalizes previous theorems on the existence of maximal elements. It also corrects a recent claim of Mehta. 1.