Template-Type: ReDIF-Paper 1.0
Author-Name: Birbil, S.I.
Author-Name-Last: Birbil
Author-Name-First: Ilker
Author-Name: Bouza, G.
Author-Name-Last: Bouza
Author-Name: Frenk, J.B.G.
Author-Name-Last: Frenk
Author-Name-First: Hans
Author-Name: Still, G.J.
Author-Name-Last: Still
Title: Equilibrium Constrained Optimization Problems
Abstract: We consider equilibrium constrained optimization problems, which have a general formulationthat encompasses well-known models such as mathematical programs with equilibrium constraints, bilevel programs, and generalized semi-infinite programming problems. Based on the celebrated K K M lemma, we prove the existence of feasible points for the equilibrium constraints. Moreover, we analyze the topological and analytical structure of the feasible set. Alternative formulations of an equilibrium constrained optimization problem (ECOP) that are suitable for numerical purposes are also given. As an important _rst step for developing ef_cient algorithms, we provide a genericity analysis for the feasible set of a particular ECOP, for which all the functions are assumed to be linear.
Creation-Date: 2003-12-03
File-URL: https://repub.eur.nl/pub/1068/ERS%202003-085-LIS.pdf
File-Format: application/pdf
Series: RePEc:ems:eureir
Number: ERS-2003-085-LIS
Number: ERS-2003-085-LIS
Classification-JEL: C62, M, M11, R4
Keywords: bilevel programs, equilibrium problems, existence, generalized semi-infinite programming, genericity, mathematical programs with equilibrium constraints, problems with complementarity constraints
Handle: RePEc:ems:eureir:1068