The wireless sensor network,which has a range of application values,is the important carrier for the Internet of Things and the key technology extending the covering area of Internet in the future.Due to the variability of communications environment and the diversity of communications service,topology control based on the information of monolayer faces a new challenge.This paper utilizes the game theory to involve the expected node degree,the connected factor and the Interference node numbers of MAC layer into the revenue function,which also constructs the game model of topology control.Next,the paper proves the existence of Nash equilibrium and proposes an energy-balanced and reliable topology control game algorithm(EBRGA)for sensor networks. Theoretic analysis and simulations validate that it could ensure networks good characteristics of connectivity,high reliability,fast convergence and energy equilibrium etc.