Cournot Quantum Game Model Under Different Unit Costs Conditions

Quantum game theory is an emerging interdisciplinary as a tool of quantum information Theory.It is widely used in biology, information science, economics and many other areas. It has received more and more attention by academia. Oligopolistic market is a realistic mixed market between a pure monopoly and monopolistic competition. Though Cournot model is a typical example in the oligopolistic competition research, but they still unable to resolve the Contradictions between the overall interests and each individual game, the prisoner’s dilemma still exists. Some scholars began to explore the game from the perspective of quantum theory. They solve a number of contradictions which classic game can not solve, but they assume the same unit costs in firm. As we know, different firms have different production technology and equipment, so the unit costs may be different. Under the situations of different unit costs, few scholars have done the research of solving the contradictions between individual rationality and collective rationality. Based on this, this paper analyzes many factors which influence the equilibrium output and profits on the Cournot model of quantum research. At last, it give the best combination scheme.It can provide some decision sand inspiration for the oligopolistic competition in the real marketThe main content of this paper is that:(1) Cournot quantum game model is established by changing the measuring device under the conditions of different unit costs, without introducing the degree of entanglement. After classical Cournot model is quantized, it can get equilibrium profit and analyze the impact of the relative unit cost difference. The numerical simulation results are that: By adjusting the value of the relative unit cost difference, you can get the optimal combination of equilibrium solutions and also getting higher equilibrium profit than Li’s program.(2) Cournot quantum game model is established with the degree of entanglement which is the important decision variables of quantum information. Using the knowledge of quantum game theory, classical Cournot model is quantized and its equilibrium profit is seeking out. It analyzes the influence of the relative unit cost difference and the degree of entanglement. The numerical simulation results are that: when the relative unit cost differences take a particular value, the degree of entanglement tends to infinity, the quantum equilibrium profits in firm and the overall profits are higher than Li Hui’s scheme.