@phdthesis{vonHeusinger2009, author = {von Heusinger, Anna}, title = {Numerical Methods for the Solution of the Generalized Nash Equilibrium Problem}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-47662}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2009}, abstract = {In the generalized Nash equilibrium problem not only the cost function of a player depends on the rival players' decisions, but also his constraints. This thesis presents different iterative methods for the numerical computation of a generalized Nash equilibrium, some of them globally, others locally superlinearly convergent. These methods are based on either reformulations of the generalized Nash equilibrium problem as an optimization problem, or on a fixed point formulation. The key tool for these reformulations is the Nikaido-Isoda function. Numerical results for various problem from the literature are given.}, subject = {Spieltheorie}, language = {en} }