Research On Asymmetric Quantum Hawk-Dove Game Model Based On Different Quantum Schemes

As a new field of game theory,the quantum game theory is produced by the combination of quantum information theory and game theory.It has been widely used in many fields and has received more and more attention by academic.In life,competition and conflict are common phenomenon,and hawk-dove game is able to reveal the rules as a classic model.In order to provide some enlightenment for the application of hawk-dove game in reality,we use the relevant theory of quantum game to promote the classic hawk-dove game model,and to study the evolutionary stability problem of asymmetric hawk-dove game model.This paper is divided into four chapters.First,the research background,research significance,current research status,the main research tools and innovations are discussed.Second,asymmetric hawk-dove game model is quantized based on Eisert quantization scheme.Third,asymmetric hawk-dove game model is quantized based on MW quantization scheme.Fourth,conclusion and the prospect.The main content of this paper is that:(1)Asymmetric hawk-dove game models established is quantized by Eisert quantization scheme,the equilibrium solution is found when entanglement degree is ?/2.At the same time,we study the evolutionary stability of equilibrium solution.And compared with the classic cases,we can obtain the conclusion:There is a unique Nash equilibrium solution in the models by the Eisert quantization scheme,and it is evolutionary stable strategy.(2)Asymmetric quantum game models with different initial states are established by using MW quantization scheme,then the Nash equilibrium solutions of the different initial conditions are calculated.At the same time,we analyze the evolutionary stability of the equilibrium solutions under different initial conditions and the influence of the initial superposition state on the evolutionary stability.