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Fairness is an important management issue for peer-to-peer file sharing systems. In this paper, we study the credit system of the P2P file sharing network eMule (http://www.emule-project.net) through a simple queueing network model. Numerical analysis and experimental results show that this local credit strategy could effectively deal with free riders and provide fairness for the system during a single file exchange. Using this model, we also investigate different management strategies for dealing with the newcomer fairness issue. We propose a simple, private history-based scheme to balance the fairness between two types of newcomers.