%0 Journal Article %T A regularization method for ill-posed bilevel optimization problems %A Ma£¿tine Bergounioux %A Mounir Haddou %J Mathematics %D 2006 %I arXiv %R 10.1051/ro:2006009 %X We present a regularization method to approach a solution of the pessimistic formulation of ill -posed bilevel problems . This allows 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. %U http://arxiv.org/abs/math/0603741v1