| Article ID: | iaor20071473 |
| Country: | France |
| Volume: | 40 |
| Issue: | 1 |
| Start Page Number: | 19 |
| End Page Number: | 35 |
| Publication Date: | Jan 2006 |
| Journal: | RAIRO Operations Research |
| Authors: | Haddou Mounir, Bergounioux Maitine |
| Keywords: | bilevel programming |
We present a regularization method to approach a solution of the pessimistic formulation of ill-posed bilevel problems. This allows us to overcome the difficulty arising from the non uniqueness of the lower level problems solutions and responses. We prove existence of approximated solutions, give convergence result using Hoffman-like assumptions. We end with objective value error estimates.