TY - INPR A1 - Grimm, Veronika A1 - Hintermüller, Michael A1 - Huber, Olivier A1 - Schewe, Lars A1 - Schmidt, Martin A1 - Zöttl, Gregor T1 - A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport N2 - We investigate a class of generalized Nash equilibrium problems (GNEPs) in which the objectives of the individuals are interdependent and the shared constraint consists of a system of partial differential equations. This setup is motivated by the modeling of strategic interactions of competing firms, which explicitly take into account the dynamics of transporting a commodity, such as natural gas, through a network. We establish the existence of a variational equilibrium of the GNEP. In the case of symmetric firms, we identify an equivalent optimization problem. We use this model to numerically explore the impact of linepacking, that is the use of the network as a temporary storage device. In particular, we study the firms' decisions under various linepacking abilities and analyze which market participants benefit from it. Y1 - 2021 UR - https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/458 ER -