A demand function for pseudotransitive preferences

Abstract

This paper deals with the existence and properties of the demand correspondence when agents' preferences are pseudotransitive. It is shown that a consumption plan belongs to the demand mapping if and only if it is a maximizer of a real-valued weak utility function. Further properties, as hemicontinuity and convex-valuedness of the demand mapping, are also analyzed.Pseudotransitive preferences, demand function, weak utility function