A new error bound result for generalized Nash equilibrium problems and its algorithmic application
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Publication:742294
DOI10.1007/s10589-013-9586-zzbMath1307.91117OpenAlexW2129083474MaRDI QIDQ742294
Axel Dreves, Francisco Facchinei, Markus Herrich, Andreas Fischer
Publication date: 18 September 2014
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-013-9586-z
global convergencelocal quadratic convergencegeneralized Nash equilibrium problemLP-Newton methodlocal error bound conditionpotential reduction algorithm
Numerical mathematical programming methods (65K05) Methods of quasi-Newton type (90C53) General equilibrium theory (91B50)
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Cites Work
- Unnamed Item
- Unnamed Item
- An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions
- An improved two-step method for solving generalized Nash equilibrium problems
- Restricted generalized Nash equilibria and controlled penalty algorithm
- Perturbation approach to generalized Nash equilibrium problems with shared constraints
- Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems
- Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
- Generalized Nash equilibrium problems and Newton methods
- Gap function approach to the generalized Nash equilibrium problem
- Error bounds: necessary and sufficient conditions
- Error bounds in mathematical programming
- Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
- A globalized Newton method for the computation of normalized Nash equilibria
- A family of Newton methods for nonsmooth constrained systems with nonisolated solutions
- Newton's method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation
- On the solution of affine generalized Nash equilibrium problems with shared constraints by Lemke's method
- On intrinsic complexity of Nash equilibrium problems and bilevel optimization
- Solving quasi-variational inequalities via their KKT conditions
- Real and Complex Monotone Communication Games
- Penalty Methods for the Solution of Generalized Nash Equilibrium Problems
- On the solution of the KKT conditions of generalized Nash equilibrium problems
- Nonconvex Games with Side Constraints
- A Potential Reduction Newton Method for Constrained Equations
- Generalized Nash equilibrium problems