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Strategy Composition in Dynamic Games with Simultaneous Moves

Sometimes, in dynamic games, it is useful to reason not only about the existence of strategies for players, but also about what these strategies are, and how players select and construct them. We study dynamic games with simultaneous moves, repeated normal form games and show that this reasoning can be carried out by considering a single game, and studying composition of “local” strategies. We study a propositional modal logic in which such reasoning is carried out, and present a sound and complete axiomatization of the valid