The invention discloses a resource allocation algorithm based on an auction theory in the game theory in a wireless cache system. When the base station of a communication operator or a family user isidle or has surplus space, the communication operator or the family user will allocate or auction the base station as resources. In the resource allocation algorithm, base stations are optimally allocated through random geometry and the framework of the game theory, so that both sides can gain maximum profits. Moreover, it is proved that the resource allocation in the wireless system can computationally converge.