Integration of pseudomonotone maps and the revealed preference problem

Abstract

When the behaviour of a consumer can be described via a utility function, the consumption, called the demand, is the result of the maximization of the utility function under a constraint budget. The revealed preference problem consists in recovering one utility function (it is not unique) from the demand: it corresponds to the integration of a multi-valued pseudomonotone map.

Keywords:

• consumer theory
• revealed preferences
• generalized convexity
• generalized monotonicity

AMS Subject Classifications::

• 91B42
• 90C26
• 90C25

Acknowledgements

A. Keraghel and N. Rahmani thank LIMOS for its hospitality. One part of this article is issued from the doctoral thesis of N. Rahmani prepared in LIMOS, Clermont and defended at Sétif in December 2008.