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Based on a Space-Time Block Coding Multi-Carrier Code Division Multiple Access (STBC MC-CDMA) system, a Asynchronous Distributed Pricing (ADP) Algorithm is studied in this paper, in which the cognitive radio(CR) users announces a price that reflect other users' compensation paid. The power control is implemented by updating pricing and power level. The ADP algorithm is a distributed power control scheme based on the supermodular game theory. Introduced in the STBC MC-CDMA system, it can improve the capacity and the utility of the system, and show faster convergence.