Nadja Harms

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This article studies continuity and differentiability properties for a reformula-tion of a finite-dimensional quasi-variational inequality (QVI) problem using a regularized gap function approach. For a special class of QVIs, this gap function is continuously differ-entiable everywhere, in general, however, it has nondifferentiability points. We therefore(More)
1296/18-1 as well as by a grant from the international doctorate program " Identification, Optimization, and Control with Applications in Modern Technologies " within the Elite-Network of Bavaria. Abstract. A well-known technique for the solution of quasi-variational inequalities (QVIs) consists in the reformulation of QVIs as a constrained or unconstrained(More)
This article studies differentiability properties for a reformulation of a player convex generalized Nash equilibrium problem as a constrained and possibly nonsmooth minimization problem. By using several results from parametric optimization we show that, apart from exceptional cases, all locally minimal points of the reformulation are differentiability(More)
We consider a class of generalized Nash equilibrium problems (GNEPs) where both the objective functions and the constraints are allowed to depend on the decision variables of the other players. It is well-known that this problem can be reformulated as a constrained optimization problem via the (regularized) Nikaido-Isoda-function, but this reformulation is(More)
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