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经典博弈论中引入量子叠加与纠缠产生的一些新性质

中文摘要第3-5页
英文摘要第5-7页
1 Introduction to Quantum Game Theory第11-59页
    1.1 Introduction第11-13页
    1.2 Mathematical basis of game theory第13-15页
    1.3 Quantum game framework第15-45页
        1.3.1 Quantum game basics第15-16页
        1.3.2 PQ penny flipover第16-20页
        1.3.3 Prisoner's Dilemma第20-27页
        1.3.4 Quantum Battle of the Sexes game第27-39页
        1.3.5 New Models of Quantum Games第39-41页
        1.3.6 Hawk-Dove game第41-44页
        1.3.7 The Quantum Ultimatum Game第44-45页
    1.4 Quantum games with decoherence第45-46页
    1.5 Other Examples of Quantum Game第46页
    Bibliography第46-59页
2 A Quantum Battle of the Sexes in Noninertial Frame第59-75页
    2.1 Introduction第59-61页
    2.2 Quantum Version of Battle of the Sexes in noninertial Frame第61-68页
        2.2.1 Quantization Scheme第62页
        2.2.2 The Quantum Game in noninertial Frame第62-68页
    2.3 Results and Analysis第68-71页
    2.4 Discussions and Conclusions第71-72页
    Bibliography第72-75页
3 Implementing Quantum Games by a scheme with Pre- and Post-selection第75-102页
    3.1 Introduction to Quantum Games第75-76页
    3.2 Quantum Battle of the Sexes game第76-81页
        3.2.1 Tackling the Battle of the Sexes game in classical way第77-80页
        3.2.2 The Quantization Scheme for the Battle of the Sexes Game第80-81页
    3.3 A New Scheme to Play Quantum Games第81-87页
    3.4 Quantum state tomography第87-89页
    3.5 Application of the new scheme to the game of Prisoner's Dilem-ma第89-97页
        3.5.1 Prisoner's Dilemma game with entanglement第91-92页
        3.5.2 A comparison between the new scheme and other pro-posed schemes and discussions第92-96页
        3.5.3 The New Proposal used to practise fraud in quantum games第96-97页
    3.6 Conclusion第97-98页
    Bibliography第98-102页
4 A Perspective From Quantum Mechanics to Ultimatum Game第102-113页
    4.1 Introduction第102-103页
    4.2 Quantum Ultimatum Game第103-109页
    4.3 Discussion and Conclusion第109页
    Bibliography第109-113页
5 Playing Quantum Games with Disentanglement-free State第113-134页
    5.1 Introduction第113-114页
    5.2 Disentanglement-free States第114-120页
    5.3 Redefining the disentanglement-free states第120-121页
    5.4 The Application of Disentanglement-free State in Quantum Games第121-127页
    5.5 Discussion and Conclusion第127页
    Bibliography第127-134页
6 Discussions and Summary第134-137页
Publications第137-138页
ACKNOWLEDGEMENT第138-141页

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