Generalized Nash equilibrium

摘要

For accept/reject games and coalitionless games, the classical Roos-Nash equilibrium is generalized to a so-called strongly dependent equilibrium, which exists for a wider class of games than the classical equilibrium. The following hierarchical chain of progressively stronger equilibria is established: symmetrical active A-equilibrium, strongly dependent equilibrium, symmetrical B-equilibrium, Roos-Nash classical dependent equilibrium. The first three of these have been proposed by the author as weaker versions of the classical coalitionless equilibrium.