Olivier Huber

A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport

  • Veronika Grimm
  • Michael Hintermueller
  • Olivier Huber
  • Lars Schewe
  • Martin Schmidt
  • Gregor Zöttl
    • Categories Game Theory, Infinite Dimensional Optimization, Systems governed by Differential Equations Optimization Tags , , , ,

    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, … Read more

    Nonconvex Equilibrium Models for Energy Markets: Exploiting Price Information to Determine the Existence of an Equilibrium

  • Julia Grübel
  • Olivier Huber
  • Lukas Hümbs
  • Max Klimm
  • Martin Schmidt
  • Alexandra Schwartz
    • Categories (Mixed) Integer Linear Programming, Applications - OR and Management Sciences, Constrained Nonlinear Optimization Tags , , , ,

    Motivated by examples from the energy sector, we consider market equilibrium problems (MEPs) involving players with nonconvex strategy spaces or objective functions, where the latter are assumed to be linear in market prices. We propose an algorithm that determines if an equilibrium of such an MEP exists and that computes an equilibrium in case of … Read more