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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)

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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