For the security problem in mobile peer to peer（MP2P） networks

an adaptive mobile peer-to-peer secure topology protocol（AMPSTP） was proposed.Firstly

Fortune algorithm was used to divide a large geographical region into some small sub regions.Secondly

temporary anchor node selection and update strategies were given.Thirdly

MP2P overlay network topology construction and maintenance mechanisms were also given.Fourthly

MP2P overlay network routing discovery algorithm and node selection mechanism based on game theory for MP2P networks were successively proposed.Finally

the performance of the AMPSTP protocol was theoretically analyzed and simulated on the platform of NS-2.Theoretical analysis and simulation results show that compared with MADPastry protocol

AMPSTP protocol not only can guarantee the network security and improve network performance

but also greatly reduce the control overhead.