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Maximal-Element Rationalizability
(Université de Montréal. Département de sciences économiques., 2002)
We examine the maximal-element rationalizability of choice functions with arbitrary do-mains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed ...
Upper Semicontinuous Extensions of Binary Relations
(Université de Montréal. Département de sciences économiques., 2002)
Suzumura shows that a binary relation has a weak order extension if and only if it is consistent. However, consistency is demonstrably not sufficient to extend an upper semi-continuous binary relation to an upper semicontinuous ...
Efficient and Non-Deteriorating Choice
(Université de Montréal. Département de sciences économiques., 2002)
We analyze collective choice procedures with respect to their rationalizability by means of profiles of individual preference orderings. A selection function is a generalization of a choice function where selected alternatives ...
Consistent Rationalizability
(Université de Montréal. Département de sciences économiques., 2002)
Consistency of a binary relation requires any preference cycle to involve indifference only. As shown by Suzumura (1976b), consistency is necessary and sufficient for the existence of an ordering extension of a relation. ...