2025/04/17 by Hintermüller, Michael, Stengl, Steven-Marian
#500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik #500 Naturwissenschaften und Mathematik::530 Physik::530 Physik #Nash games #equilibrium problems #penalty methods #quasi-variational inequalities #Γ-convergence
paper · doi:10.14279/depositonce-22630
A novel generalization of Γ-convergence applicable to a class of equilibrium problems is studied. After the introduction of the latter, a variety of its applications is discussed. The existence of equilibria with emphasis on Nash equilibrium problems is investigated. Subsequently, our Γ-convergence notion for equilibrium problems is introduced and discussed as well as applied to a class of penalized generalized Nash equilibrium problems and quasi-variational inequalities. The work ends with a comparison of our results to previous generalizations in the literature.