Asymmetric model of the quantum Stackelberg duopoly with incomplete information

Asymmetric model of the quantum Stackelberg duopoly with complete information is more efficient than the symmetric one, since it can overcome the deficiencies encountered in the latter. However, the case of complete information is the simplest one in the game, the cases with incomplete information are more general and practical. Here, we will construct such an asymmetric model with incomplete information, where three different parameters γ, α, and ξ are introduced. The analysis shows that all the advantages of the asymmetric case with complete information are maintained. Besides that, one can better manage the market and optimize the total quantity of the product by choosing proper values of α and γ, according to the obtained uncertainty (ξ) of the incomplete information. What' more, it is also worth noticing that the new model is a general one which can degenerate to the case with complete information and that to the symmetric model.