Jointly convex generalized Nash equilibria and elliptic multiobjective optimal control
DOI10.1007/s10957-015-0788-7zbMath1337.49051OpenAlexW1105738938MaRDI QIDQ283960
Publication date: 17 May 2016
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-015-0788-7
state constraintsfinite element approximationcontrol box constraintselliptic PDEjointly convex generalized Nash equilibriummultiobjective optimal controlnormalized Nash equilibrium
Noncooperative games (91A10) Multi-objective and goal programming (90C29) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Numerical methods of relaxation type (49M20)
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Cites Work
- Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions
- Approximations of Nash equilibria
- Relaxation methods for generalized Nash equilibrium problems with inexact line search
- Nash equilibria for the multiobjective control of linear partial differential equations
- Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
- A globalized Newton method for the computation of normalized Nash equilibria
- Multicriterion aerodynamic shape design optimization and inverse problems using control theory and Nash games
- Note on noncooperative convex games
- Generalized Nash Equilibrium Problems in Banach Spaces: Theory, Nikaido--Isoda-Based Path-Following Methods, and Applications
- Elliptic Partial Differential Equations of Second Order
- On relaxation algorithms in computation of noncooperative equilibria
- A class of random variational inequalities and simple random unilateral boundary value problems - existence, discretization, finite element approximation
- Formulation and Numerical Solution of Nash Equilibrium Multiobjective Elliptic Control Problems
- The Mathematical Theory of Finite Element Methods
- Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
- Existence of an Equilibrium for a Competitive Economy
- Generalized Nash equilibrium problems
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