Quantum mixed duopoly games with a nonlinear demand function

In this paper, we consider a class of mixed duopoly games with a nonlinear demand function. We investigate the quantizations of mixed duopoly games by the Li-Du-Massar and Frackiewicz quantum schemes. By solving the quantum equilibrium quantities, profits and objectives, we find that the quantum equilibrium quantities and objectives are all monotonically increasing with respect to entanglement level, and the quantum equilibrium profits are monotonically decreasing with respect to entanglement level. Our main contribution is to consider some new quantum game models by the existing quantum schemes.