From the 1 of 7 linked papers with an AI index.
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State constrained convex Nash equilibrium problems coupled with linear hyperbolic PDEs
Marcelo Bongarti, Michael Hintermüller
The paper proves the existence of equilibria for convex generalized Nash equilibrium problems with state constraints that are coupled to linear hyperbolic PDEs, and derives first‑o…
Constrained Neural Parameterization for Optimization in Function Spaces
Michael Hintermüller, Jianfeng Ning
We propose constrained neural parameterization schemes for several classes of constraints arising in optimization problems in function spaces. This is achieved by constructing smoo…
Structure versus regularity of set-valued maps in convex generalized Nash equilibrium problems in Banach spaces
Marcelo Bongarti, Michael Hintermüller
A generalized Nash equilibrium problem (GNEP) in Banach space consists of optimal control problems with couplings in both the objective functions and, most importantly, in th…
Risk-averse optimal control of random elliptic variational inequalities
Amal Alphonse, Caroline Geiersbach, Michael Hintermüller +1
We consider a risk-averse optimal control problem governed by an elliptic variational inequality (VI) subject to random inputs. By deriving KKT-type optimality conditions for a pen…
A Cournot-Nash Model for a Coupled Hydrogen and Electricity Market
Pavel Dvurechensky, Caroline Geiersbach, Michael Hintermüller +3
We present a novel model of a coupled hydrogen and electricity market on the intraday time scale, where hydrogen gas is used as a storage device for the electric grid. Electricity…