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 …
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 …
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
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 …
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 …
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
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 …
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 …
minimization problems, variational inequalities, and quasi-variational inequalities in Banach …
Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods
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 …
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
This paper investigates evolutionary quasi-variational inequalities that involve multi-valued
monotone and pseudo-monotone maps. The purpose of including the pseudo-monotone …
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 …
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 …
space setting. The joint constraints are eliminated by an augmented Lagrangian-type …