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 …

Multi-level programming is characterized as mathematical programming to solve
decentralized planning problems. The decision variables are partitioned among ordered …

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 programming problems are hierarchical optimization problems where the constraints
of one problem (the so-called upper level problem) are defined in part by a second …

The use of optimization techniques has become integral to the design and analysis of most
industrial and socio-economic systems. Great strides have been made recently in the …

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 …

Optimization has been expanding in all directions at an astonishing rate during the last few
decades. New algorithmic and theoretical techniques have been developed, the diffusion …

A new branch-and-bound algorithm for linear bilevel programming is proposed. Necessary
optimality conditions expressed in terms of tightness of the follower's constraints are used to …

The multi-level linear programs of Candler, Norton and Townsley are a simple class of
sequenced-move games, in which players are restricted in their moves only by common …

We show, using small examples, that two algorithms previously published for the Bilevel
Linear Programming problem (BLP) may fail to find the optimal solution and thus must be …