Research On Equilibrium Solution Of Quantum Chicken Game Model Under Two Channels

Quantum game theory is one of the important branches of game theory,which has been paid more and more attention by scholars at home and abroad.As one of the classical game models in game theory,Chicken game has a wide range of applications in economy?finance?military and other aspects,so it is of great practical significance to study Chicken game.In the classic Chicken game,one chooses cooperation and the other chooses betrayal is the pure Nash equilibrium solution of the game model,but both sides choose cooperation which is the Pareto optimal solution of the game,so there is a cooperation dilemma in the classic Chicken game.How to solve the cooperation dilemma has always been an important problem to be solved.Scholars at home and abroad have studied it from different perspectives According to the relevant theory of quantum game,using EWL quantum scheme,we construct the quantum Chicken game model respectively under different channel conditions,find out the Nash equilibrium of the model under different memory conditions,and analyze the influencing factors.It effectively solves the cooperation dilemma in the classic game,expands the effective way to study the classic Chicken game model,and provides useful enlightenment for the specific application in real life.The main content of this article:(1)Based on the theory of quantum game theory and the EWL quantum scheme,a quantum Chicken game model with noise and memory strength as parameters is established under the condition of phase damping channel.The conditions that the quantum Nash equilibrium solution satisfies are obtained.The influence of noise and memory intensity on the quantum Nash equilibrium solution is analyzed which provides an effective way to solve the cooperation dilemma of the classical Chicken game model.(2)Based on the theory of quantum game theory and the EWL quantum scheme,a quantum Chicken game model is constructed with the parameters of noise and memory intensity.Through the analysis of the equilibrium of the strategy combination of the quantum Chicken game model,the influence of the two parameters on the stability of the model equilibrium solution is discussed,and the quantum Nash equilibrium under different memory conditions is analyzed.The distribution of the solution gives a new explanation for the dilemma of the classic Chicken game model.