Non-cooperative three-person games with fixed hierarchical structure

A definition, generalizing Germeier's definition for a two"-person game, is given for a three-person game with fixed hierarchical structure. The (first player's) optimal informational extension of the initial game is constructed and the determination of the first player's best guaranteed result and optimal strategy is reduced to solving a series of optimization problems. The influence of the player's information patterns on the result of the game is studied.