## Some projection-like methods for the generalized Nash equilibria.(English)Zbl 1198.91026

Summary: A generalized Nash game is an $$m$$-person noncooperative game in which each player’s strategy depends on the rivals’ strategies. Based on a quasi-variational inequality formulation for the generalized Nash game, we present two projection-like methods for solving the generalized Nash equilibria in this paper. It is shown that under certain assumptions, these methods are globally convergent. Preliminary computational experience is also reported.

### MSC:

 91A10 Noncooperative games 91A06 $$n$$-person games, $$n>2$$ 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
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