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 …

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 …

In this paper we generalize the concepts of well-posedness to equilibrium problems and to
optimization problems with equilibrium constraints. We establish some metric …

In topological spaces, we introduce a new class of functions (pseudocontinuous functions)
and we present some characterizations and properties. In particular, we show that any …

We present the concepts of α-well-posedness for parametric noncooperative games and for
optimization problems with constraints defined by parametric Nash equilibria. We investigate …

We enlarge the class of sufficient conditions which guarantee, on the one hand, the
sequential closedness of set-valued functions defined by minimum points and by social …

We consider a bilevel optimal control problem where the upper level, to be solved by a
leader, is a scalar optimal control problem, and the lower level, to be solved by several …

An oligopolistic market in which several firms supply a homogeneous product is considered.
One particular firm (leader) sets its decision prior to the other firms (followers), which react by …

In this chapter we consider a two-stage game with one leader and one (or more) followers
and we investigate the behavior of a Tikhonov regularization when the best reply for the …

Both pessimistic and optimistic bilevel optimization problems may be not stable under
perturbation when the lower-level problem has not a unique solution, meaning that the limit …