2 citations · 4 across the 4 of their papers we have counts for
4 papers
Multiscale Control of Stackelberg Games
Michael Herty, Sonja Steffensen, Anna Thünen
We present a linear--quadratic Stackelberg game with a large number of followers and we also derive the mean field limit of infinitely many followers. The relation between optimiza…
Solving Quadratic Multi-Leader-Follower Games by Smoothing the Follower's Best Response
Michael Herty, Sonja Steffensen, Anna Thünen
We derive Nash equilibria for a class of quadratic multi-leader-follower games using the nonsmooth best response function. To overcome the challenge of nonsmoothness, we pursue a s…
Numerical Methods for the Optimal Control of Scalar Conservation Laws
M. Herty, L. Pareschi, S. Steffensen
We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation sche…
Implicit-Explicit Runge-Kutta schemes for numerical discretization of optimal control problems
Michael Herty, Lorenzo Pareschi, Sonja Steffensen
Implicit-explicit (IMEX) Runge-Kutta methods play a major rule in the numerical treatment of differential systems governed by stiff and non-stiff terms. This paper discusses order…