A handheld terminal 200 performs wireless communication with a game apparatus 103 and determines whether the wireless communication with the game apparatus 103 is possible. The game apparatus 103 performs wireless communication with the handheld terminal 200 and determines whether the wireless communication with the handheld terminal 200 is possible. The game apparatus 103 performs a return home determination process, based on the determination about whether the wireless communication is possible, when the wireless communication with the handheld terminal 200 has become, after having become disabled, enabled again.