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In a partnership game, each player's utility depends on the other players' actions through a commonly observed consequence (e.g. output, profit, price), which is itself a function of the players' actions and an exogenous stochastic environment. If a partnership game is repeated infinitely, and each player's payoff in the infinite game (supergame) is the long-run average of his expected one-period utilities, then efficient combinations of one-period actions can be sustained as Nash equilibria of the supergame even if the players cannot observe other players' actions or information, but can only observe the resulting consequences.
Roy Radner (Wed,) studied this question.