To provide a game system in which each of the players in turn controls a common character (operation object) so as to enjoy a continuous electric game; and to provide a game system in which a previous player who has been replaced by another player still has willing to participate in the game.There is provided a game system to which a plurality of players can access via respective operation terminals. According to input data from the operation terminals, a calculation processing device executes a game program, judges that a plurality of players are participating in the game, establishes teams, each consisting of a plurality of players, assigns a common character to each team, decides a reference point when the operation of the character is to be performed by another player belonging to the same team according to the program, judges whether the character has reached the reference point according to the parameter of the character, and, if the judgment is yes, offers the operation right of the character to another player, and controls the game system to continue the operation of the character addording to the signal from the operation terminal of the another player.