Methods for Solving Generalized Nash Equilibrium

Biao Qu, Jing Zhao
2013 Journal of Applied Mathematics  
The generalized Nash equilibrium problem (GNEP) is an extension of the standard Nash equilibrium problem (NEP), in which each player's strategy set may depend on the rival player's strategies. In this paper, we present two descent type methods. The algorithms are based on a reformulation of the generalized Nash equilibrium using Nikaido-Isoda function as unconstrained optimization. We prove that our algorithms are globally convergent and the convergence analysis is not based on conditions
more » ... teeing that every stationary point of the optimization problem is a solution of the GNEP.
doi:10.1155/2013/762165 fatcat:ax4x7xucgrfo3idvdwlr7vmxsq