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A more efficient model of the quantum Stackelberg duopoly is proposed by using the asymmetric quantization scheme of Qin et al. In this model, two entanglement factors α and γ are introduced, which greatly expands the functions of the previously reported symmetric one. By choosing proper values of α and γ, one can better manage the market, such as suppressing the first-mover advantage and enhancing the second-mover profit to avoid abuse of oligopolistic competition, and optimizing the total quantity of the products, so to overcome the deficiencies of “first mover always wins" and “positive quantum entanglement always reduces the total quantity" in the symmetric model. The proposed model here is believed to be a good tool for the government and the department to improve the economic efficiency and develop the market. [ABSTRACT FROM AUTHOR]