A service providing apparatus transmits, at a short distance, priority control data which indicates that the priority level of a short distance wireless communication of itself for providing service data is higher than the priority level of a short distance wireless communication among mobile game apparatuses. A mobile game apparatus transmits or receives a communication request to set another mobile game apparatus as a counterpart of the short distance wireless communication. The mobile game apparatus also receives service data from the service providing apparatus. The mobile game apparatus attempts to receive priority control data, and when receiving the priority control data, prohibits the short distance wireless communication with other mobile game apparatuses.