Consistency of a binary relation requires any preference cycle to involve indifference only. It has been shown that consistency is necessary and sufficient for the existence of an ordering extension of a binary relation. It is therefore of interest to examine the rationalizability of choice...

A reference-dependent choice function is a generalization of a standard choice function where chosen alternatives may depend on a reference alternative in addition to the set of feasible options. Such a function is non-deteriorating if there exists an ordering over the universal set of...

Since Amartya Sen's contribution on the impossibility of a Paretian liberal, his formulation of libertarian rights has been under debate. In this paper, the authors highlight some important strands in this debate, and achieve some conceptual clarification of the different and often incompatible...