Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints

Abstract

In this bibliography main directions of research as well as main fields of applications of bilevel programming problems and mathematical programs with equilibrium constraints are summarized. Focus is also on the difficulties arising from nonuniqueness of lower-level optimal solutions and on optimality conditions.

Keywords:

• Bilevel Programming
• Mathematical Programming With Equilibrium Constraints
• Set-valued Optimization
• Applications
• Optimality Conditions
• Mathematics Subject Classifications 2000 : 90c30
• 91a65
• 49k40