Differential stability of two-stage stochastic programs

Two-stage stochastic programs with random right-hand side are considered. O ptimal values and solution sets are regarded as mappings of the expected re course functions and their perturbations, respectively. Conditions are iden tified implying that these mappings are directionally differentiable and se midifferentiable on appropriate functional spaces. Explicit formulas for th e derivatives are derived. Special attention is paid to the role of a Lipsc hitz condition for solution sets as well as of a quadratic growth condition of the objective function.