Copyright © 2005 Published by Elsevier Ltd.
Bilevel decision via variational inequalities*
Accepted 1 May 2004.
References and further reading may be available for this article. To view references and further reading you must purchase this article.
Abstract
In this paper, we introduce the group decision problems in a bilevel programming structure, and its corresponding optimization with equilibrium constraints (MPEC for short) problems. For these models, we establish new existence results, which extend some known results to infinite-dimensional space setting. We also establish the links between group decision problems in a bilevel programming structure and its corresponding MPEC problems in Banach spaces. An interesting example about the mean-variance portfolio optimization is given and the existence and uniqueness results for its corresponding MPEC problems are obtained.
Keywords: Bilevel programming; Variational inequality problems; Stackelberg problems; MPEC problems; Group decision-making problems; Reflexive Banach spaces; Mean-variance portfolio optimization






E-mail Article
Add to my Quick Links

Cited By in Scopus (2)






