Abstract: In the construction of high connectivity,low energy consumption,low interference and reasonable route multi-hop wireless networks,facing conflict between the selfish nodes and their cooperative relations,game theory is undoubtedly a good solution tool．This paper employed game theory to build the network topology control solutions, using a method of rationally designing novel revenue function．Based on non-cooperative game theory,this article designed a novel revenue function model.Theoretical studies show that the network can be controled in a stable state through such revenue functions．Finally,we evaluated the performance of simulative algorithm,and the final simulation results show that the game topology for wireless multi-hop network can significantly save energy.

Key words: Selfish nodes,Wireless multi-hop networks,Energy-efficiency,Game theoretic model