In a game machine, platen dots are provided on a traveling field. A plurality of self-propelled members are provided on the traveling field. Each self-propelled member includes a first linear motor and a second linear motor for respectively propelling the self-propelled member in a first direction and a second direction perpendicular to each other. A miniature member is coupled with a motor so as to be rotatably supported on each self-propelled member. A controller controls the motor such that a rotated angle of the miniature member is determined in accordance with a propelling direction of the self-propelled member.