A chess-like game involves hidden information. The information provided to a player of the game includes positions and types of game pieces on a) squares that are occupied by game pieces belonging to the player and squares that are diagonally adjacent thereto, b) squares to which one or more of the game pieces belonging to the player can move according to their respective movement patterns and which are not occupied by an enemy game piece and squares that are diagonally adjacent thereto, and c) squares occupied by enemy game pieces that can be captured or put into check by one or more of the game pieces belonging to the player can move according to their respective movement patterns. The information excludes positions and types of game pieces on any other squares. The game may also involve non-alternating moves.