This paper is devoted to bilevel optimization, a branch of mathematical programming of both
practical and theoretical interest. Starting with a simple example, we proceed towards a …

This paper contains a bibliography of all references central to bilevel and multilevel
programming that the authors know of. It should be regarded as a dynamic and permanent …

This book provides a solid foundation and an extensive study for an important class of
constrained optimization problems known as Mathematical Programs with Equilibrium …

Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

The bilevel programming problem involves two optimization problems where the data of the
first one is implicitly determined by the solution of the second. In this paper, we introduce two …

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 …

This paper provides an introductory survey of a class of optimization problems known as
bilevel programming. We motivate this class through a simple application, and then proceed …

We consider the approximation of nonlinear bilevel mathematical programs by solvable
programs of the same type, ie, bilevel programs involving linear approximations of the upper …

Using the theory of exact penalization for mathematical programs with subanalytic
constraints, the theory of error bounds for quadratic inequality systems, and the theory of …

Combinatorial bi-level optimization remains a challenging topic, especially when the lower-
level is an NP-hard problem. In this paper, we tackle large-scale and combinatorial bi-level …