To display the latest game player in ranking even if the player is a beginner so as to improve the game interest by replacing one of the already stored game records by the latest game record to be stored even if the latest game record is out of ranking at the end of the latest game.

After a game by a racing device is ended, a title display part 70 showing 'RANKING' indication is displayed on the upper part, and an item display field 72 displaying a ranking order, a game player name (alphabet, or symbols and figures appendant thereto), total record (time) and a game date and a result display field 76 are displayed below the above field in a monitor 14. The result display field 76 is adapted to sequentially scroll-display in a chain line frame. At this time, the displayed ranking has 100 grade, and when the record of the latest game player is inferior to 100 grade, the record of the latest game player is displayed instead of the game player in the 100 grade up to now to give a game interest.