On information structure and topology on a set of trajectories in multistage games with separated dynamics

To describe the information of a player the concept of information vector-function is introduced for the first time. Also for the first time the axiomatics of multistage games with separated dynamics the base of which is the concept of information solvability of an ordered according to players collection of information functions is given. The theorem on necessary and sufficient conditions of compactness of a game trajectories set in Tikhonov topology is proved.