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Much work has been done to solve the unfairness problems caused by hidden terminals and exposed terminals in Ad Hoc networks. The back-off mechanism is one of the widely used methods to ensure the fair allocation of channel resources associated with other mechanisms. In this paper, a modified back-off algorithm DEIED (Dynamic Exponential Increase and Exponential Decrease) is proposed based on the previous back-off scheme EIED (Exponential Increase and Exponential Decrease), and a comparison of BEB (Binary Exponential Back-off), EIED, DEIED, is presented. Both qualitative analysis and simulation results show that the proposed back-off algorithm scheme outperforms EIED and BEB algorithms in term of the opportunities given to each node to transmit.