Many-Step Two-Person Games with a Fixed Sequence of Moves under Aggregated Information on Partner's Choice

摘要

A many-step two-person game is studied with a fixed sequence of moves under aggregated information on every move at the decision making instant and on the choice of player 2 at the current move. Player 1, knowing this information at every step i, first chooses a strategy x{sub}i(·) = (x{sub}i(·),.,x{sub}n(·)), i = (1,n){top}-, and informs it for n moves to player 2 at the beginning of the game. His maximal guaranteed result and the corresponding optimal (ε-optimal) strategy are determined. Such games under complete (nonaggregated) information are formulated and a compact expression for the strategy of player 1 is derived.