The ongoing restructuring of today’s labour markets and the swift changes in occupational structures and skill requirements generate a risk for unbalanced growth in the supply and demand for qualifications. This paper concentrates on the instruments employed in Scandinavia to identify labour market mismatches, understood as shortages of qualifications related to a certain occupation or educatio...

We study second-order optimality conditions for mathematical programs with equilibrium constraints (MPEC). Firstly, we improve some second-order optimality conditions for standard nonlinear programming problems using some newly discovered constraint qualifications in the literature, and apply them to MPEC. Then, we introduce some MPEC variants of these new constraint qualifications, which are a...

In mathematical programming, constraint qualifications are essential elements for duality theory. Recently, necessary and sufficient constraint qualifications for Lagrange duality results have been investigated. Also, surrogate duality enables one to replace the problem by a simpler one in which the constraint function is a scalar one. However, as far as we know, a necessary and sufficient cons...