Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 519623, 17 pages
doi:10.1155/2009/519623
Research Article

Quasivariational Inequalities for a Dynamic Competitive Economic Equilibrium Problem

Maria Bernadette Donato, Monica Milasi, and Carmela Vitanza

Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31, 98166 Messina, Italy

Received 3 February 2009; Revised 24 August 2009; Accepted 12 October 2009

Academic Editor: Siegfried Carl

Copyright © 2009 Maria Bernadette Donato et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The aim of this paper is to consider a dynamic competitive economic equilibrium problem in terms of maximization of utility functions and of excess demand functions. This equilibrium problem is studied by means of a time-dependent quasivariational inequality which is set in the Lebesgue space L2([0,T],ℝ). This approach allows us to obtain an existence result of time-dependent equilibrium solutions.