Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
A Potential Reduction Newton Method for Constrained Equations
SIAM Journal on Optimization
Generalized Nash equilibrium problems and Newton methods
Mathematical Programming: Series A and B
Computational Optimization and Applications
On generalized Nash games and variational inequalities
Operations Research Letters
Sampling average approximation method for a class of stochastic Nash equilibrium problems
Optimization Methods & Software - the 8th International Conference on Optimization: Techniques and Applications
Stochastic Nash equilibrium problems: sample average approximation and applications
Computational Optimization and Applications
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We consider a class of stochastic generalized Nash equilibrium problems (SGNEPs). Under some mild conditions, we reformulate the SGNEP as a stochastic mixed complementarity problem (SMCP). We apply the well-known sample average approximation (SAA) method to solve the SMCP. We further introduce an interior point method to solve the SAA problems. Comprehensive convergence analysis is given as well. In addition, we demonstrate the proposed approach on a stochastic generalized Nash equilibrium model in river basin pollution game.