Nonlinear dynamics of a quantum Cournot duopoly game with heterogeneous players

In this paper, a dynamic quantum Cournot duopoly game with heterogeneous players is proposed by applying the Li-Du-Massar scheme. We analyze the influence of the degree of quantum entanglement (DQE) on stability and dynamics behavior of the system. The result shows that: (i) The corresponding classical Cournot duopoly game is a special case of the dynamic quantum Cournot duopoly game. (ii) The stability region may increase or decrease as the DQE increases. It depends on the relative marginal cost difference. (iii) Numerical simulations show that the complicated dynamics behaviors of quantum Cournot game is different from that of corresponding classical model.