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In this paper, we propose a receipt-free cooperation incentive scheme for multihop wireless networks. The nodes submit lightweight payment reports containing their alleged charges and rewards, and store undeniable security evidences. The fair reports can be cleared with almost no processing overhead. For the cheating reports, the evidences are requested to identify and evict the cheating nodes. Since cheating actions are exceptional, our scheme can significantly reduce the overhead of submitting and processing the payment data. Extensive analysis and simulations demonstrate that the proposed scheme can clear the payment with almost no processing overhead while achieving the same security strength as the receipt-based schemes.