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Solving free riding and selecting a reliable service provider in P2P networkshas been separately investigated in last few years. Using trust has shown to beone of the best ways of solving these problems. But using this approach tosimultaneously deal with both problems makes it impossible for newcomers tojoin the network and the expansion of network is prevented. In this paper weused the game theory to model the behavior of peers and developed a mechanismin which free riding and providing bad service are dominated strategies forpeers. At the same time newcomers can participate and are encouraged to beactive in the network. The proposed model has been simulated and the resultsshowed that the trust value of free riders and bad service providers convergeto a finite value and trust of peers who provide good service is monotonicallyincreased despite the time they join the network.

A New Approach to Cold Start in Peer to Peer File Sharing Networks