Under Different Information Conditions The Hawk-dove Game Model Quantization Research And Promotion

Since the nineteen eighties, game theory is widely used in Economics. So theapplication of game theory is considered to be the important development inmicrocosmic economics. The game process can be viewed as information processingprocess，and it is also a physical process, So quantum theory and game theorycombining produces a new discipline, that known as quantum game theory. Under theconditions of symmetric information and asymmetric information,this paper used thequantum game theory methods to analysis the hawk-dove game model. Thus thisextend the participant’s strategy space, Draw a only Nash equilibrium strategy for thetype of general hawk-dove game, Also a best strategy combination for group income.And this conclusion is promoted to the prisoner’s dilemma model and2x2asymmetric game model.The full text is divided into five chapters. The first chapter analyzes thebackground, research progress, research tools and innovation. Under symmetricinformation, the second chapter uses quantum theory to study the hawk-dove gamemodel. Under the condition of asymmetry information, the third chapter uses thequantum theory to analysis the hawk-dove game model. The fourth chapter furtherpopularized the hawk-dove game model conclusion. The fifth chapter is theconclusion and the prospect. The main outcomes of this paper are as follows:(1) The paper studies the Nash equilibrium strategy of hawk-dove game undersymmetric information. This paper first gives the classic Nash’s equilibrium strategyunder symmetric information condition, and points out that the classical gameproblems. Then after quantization, the paper finds out both income of variableentanglement and the Nash equilibrium strategy for fixed entanglement. Finally, whenthe entanglement is γ=π／2, the symmetry hawk-dove game model gets the only Nashequilibrium strategy which have nothing with the conflict costs C of Both sides takingthe hawk strategy. And it solves the not one Nash’s equilibrium strategy and smallgroup income problems existing in the classic game.(2) The paper studies the Nash equilibrium strategy of hawk-dove game under asymmetric information. This paper first gives the classic Nash’s equilibrium strategyunder asymmetric information condition, and points out the problems. Then afterquantization, the paper finds out both income of variable entanglement. Last, whenthe entanglement is γ=π／2, the asymmetry of the hawk-dove game model gets theonly Nash equilibrium strategy which have nothing with the conflict costs C. And itsolves the not one Nash equilibrium strategy and small group income problemsexisting in the classic game.(3) The third chapter promotes the hawk-dove game model conclusion to themodel of2x2symmetric game and the prisoner’s dilemma game.