In this paper, we attempt to combine the concept of a choice function with a procedural aspect. We examine an individual’s choices over alternatives when the available options are linked either to the procedure by which these alternatives came into existence or to the degree of availability of...

In this paper we fully characterize an individual's choice behaviour according to three different so-called external references. The first system which we describe axiomatically is standard utility maximization or preference optimization. The second approach characterizes the choice of the...

This paper provides an algorithm for the construction of all PICFs on a finite set of alternatives, V, designed by an a priori given set I of initial choices as well as the determination of whether the initial set I is consistent with path independence. The algorithm is based on a new...

We provide two new, simple proofs of Afriat’s celebrated theorem stating that a finite set of price-quantity observations is consistent with utility maximization if, and only if, the observations satisfy a variation of the Strong Axiom of Revealed Preference known as the Generalized Axiom of...

Afriat’s original method of proof is restored by using the minmax theorem. Copyright Springer-Verlag Berlin Heidelberg 2013

In the present paper, we are concerned with the behavioural consequences of consumers having nontransitive preference relations. Data sets consist of finitely many observations of price vectors and consumption bundles. A preference relation rationalizes a data set provided that for every...