A game device (1) is described, of the type which comprises a first moving part (2b), equipped with a plurality of numbered sectors or boxes (9), adapted to receive a ball (5), the first moving part (2b) rotating inside a second fixed part (2a), so that, by placing the ball (5) on a track (6) of the second fixed part (2a) and by launching it towards the first moving part (2b), the ball (5) ends its travel in one of the numbered boxes (9), thereby determining a winning number; the game device (1) has means adapted to determine at least one other stop position of the ball (5), inside the numbered boxes (9). A method is also described, for increasing the number of possible results which can be obtained with this game device (1).