Quasitransitivity and monotonic preference for freedom

Abstract

We consider a finite universal set of alternatives and the set of all feasible sets are simply the set of all non-empty subsets of this universal set. A choice function assigns to each feasible set a non-empty subset of it. In such a framework we propose and study necessary and sufficient conditions for quasi transitive rationalizability. In a final section of this paper, we analyse necessary and sufficient conditions for quasi transitive rationalizability of choice functions generated by a monotonic preference for freedom.