Formulation and Numerical Solution of Nash Equilibrium Multiobjective Elliptic Control Problems

DOI10.1137/120864921zbMath1263.49026OpenAlexW2027877451MaRDI QIDQ4920276

Christian Kanzow, Alfio Borzì

Publication date: 16 May 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4b8f90530b79db80780120033694cbd586990c73

zbMATH Keywords

global convergenceNash equilibriummultiobjective optimizationquadratic convergenceelliptic partial differential equationsoptimal control problemssemismooth Newton method

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Finite difference methods for boundary value problems involving PDEs (65N06) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items

Jointly convex generalized Nash equilibria and elliptic multiobjective optimal control, Extensions of Nash Games in Finite and Infinite Dimensions with Applications, A Game Theory Approach for the Groundwater Pollution Control, Generalized Nash Equilibrium Problems in Banach Spaces: Theory, Nikaido--Isoda-Based Path-Following Methods, and Applications, Analysis and Numerical Solution of a Modular Convex Nash Equilibrium Problem, The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces, ADMM-Type Methods for Generalized Nash Equilibrium Problems in Hilbert Spaces, Primal-dual proximal splitting and generalized conjugation in non-smooth non-convex optimization, On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces, Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data, Unnamed Item