A game device (10) sets a standard strength (P) constituting a reception signal strength enabling communication which is stable at a range (radio wave coverage range) over which radio waves are carried from a wireless relay device (20), and game play corresponding to a mobile terminal (30) for which the reception signal strength has reached the set standard strength (P) is permitted. As a result, it is possible to enable remote play for players within an area desired by a store manager, based on a stable communication environment and free from the effects of a reduction in effective communication speed.