COALITIONAL EQUILIBRIUM SITUATIONS IN METAGAMES.

For a game in normal form, metagames are considered that arise when the players exchange information on the strategies used in different ways. The following problem is investigated: What situations of the original game can be converted in some metagame into equilibrium situations relative to a given combination of coalitions? For the case of ordinary equilibrium situations a solution is found for an arbitrary game. For other combinations of coalitions, a solution is found for games for which the alpha -core coincides with the beta -core.