Pareto-optimal equilibrium points in non-cooperative multi-objective optimization problems

MS Monfared, SE Monabbati, AR Kafshgar - Expert Systems with …, 2021 - Elsevier
In this paper, we consider a class of multi-objective optimization (MOP) problems where the
objective holders are independent humans or human-based entities. These problems are …

A generalized Nash equilibrium approach for optimal control problems of autonomous cars

A Dreves, M Gerdts - Optimal Control Applications and Methods, 2018 - Wiley Online Library
We consider optimal control problems with ordinary differential equations that are coupled
by shared, possibly nonconvex, constraints. For these problems, we use the generalized …

Existence results for generalized Nash equilibrium problems under continuity-like properties of sublevel sets

D Aussel, KC Van, D Salas - SIAM Journal on Optimization, 2021 - SIAM
A generalized Nash equilibrium problem corresponds to a noncooperative interaction
between a finite set of players in which the cost function and the feasible set of each player …

Generalized Nash equilibrium problems in Banach spaces: Theory, Nikaido--Isoda-based path-following methods, and applications

M Hintermüller, T Surowiec, A Kämmler - SIAM Journal on Optimization, 2015 - SIAM
Building upon the results in [M. Hintermüller and T. Surowiec, Pac. J. Optim., 9 (2013), pp.
251--273], a class of noncooperative Nash equilibrium problems is presented, in which the …

The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces

C Kanzow, V Karl, D Steck, D Wachsmuth - SIAM Journal on Optimization, 2019 - SIAM
This paper deals with generalized Nash equilibrium problems (GNEPs) in Banach spaces.
We give an existence result for normalized equilibria of jointly convex GNEPs and then …

Lagrange multiplier methods for constrained optimization and variational problems in Banach spaces

D Steck - 2018 - opus.bibliothek.uni-wuerzburg.de
This thesis is concerned with a class of general-purpose algorithms for constrained
minimization problems, variational inequalities, and quasi-variational inequalities in Banach …

Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods

C Kanzow, D Steck - SIAM Journal on Optimization, 2019 - SIAM
This paper deals with quasi-variational inequality problems (QVIs) in a generic Banach
space setting. We provide a theoretical framework for the analysis of such problems which is …

New existence results for evolutionary quasi-hemi-variational inequalities and their optimal control

AA Khan, S Migórski, S Zeng - Optimization, 2024 - Taylor & Francis
This paper investigates evolutionary quasi-variational inequalities that involve multi-valued
monotone and pseudo-monotone maps. The purpose of including the pseudo-monotone …

Risk-neutral PDE-constrained generalized Nash equilibrium problems

DB Gahururu, M Hintermüller, TM Surowiec - Mathematical Programming, 2023 - Springer
A class of risk-neutral generalized Nash equilibrium problems is introduced in which the
feasible strategy set of each player is subject to a common linear elliptic partial differential …

ADMM-type methods for generalized Nash equilibrium problems in Hilbert spaces

E Börgens, C Kanzow - SIAM Journal on Optimization, 2021 - SIAM
We consider the generalized Nash equilibrium problem (GNEP) with N players in a Hilbert
space setting. The joint constraints are eliminated by an augmented Lagrangian-type …