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On fairness,full cooperation,and quantum game with incomplete information

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Chinese Physics B 2018年第3期27卷 120-124页

作者： Zhen-Zhou Lei Bo-Yang Liu Ying Yi Hong-Yi Dai Ming Zhang College of Intelligent Science National University of Defense Technology Changsha 410073 China School of Management Xiamen University Xiamen 361005 China Department of Physics National University of Defense Technology Changsha 410073 China Automobile NCO Academy Army Military Transportation University Bengbu 233011 China

quantum entanglement has emerged as a new resource to enhance cooperation and remove dilemmas. This paper aims to explore conditions under which full cooperation is achievable even when the information of payoff is incomplete. Based on the quantum version of the extended classical cash in a hat game, we demonstrate that quantum entanglement may be used for achieving full cooperation or avoiding moral hazards with the reasonable profit distribution policies even when the profit is uncertain to a certain degree. This research further suggests that the fairness of profit distribution should play an important role in promoting full cooperation. It is hopeful that quantum entanglement and fairness will promote full cooperation among distant people from various interest groups when quantum networks and quantum entanglement are accessible to the public.

关键词： quantum game fairness cooperation

Theoretical analysis of quantum game in cavity QED

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Chinese Physics B 2009年第3期18卷 898-901页

作者：曹帅方卯发刘建斌汪新文郑小娟李海 College of Sciences South China Agricultural University College of Physics and Information Science Hunan Normal University Department of Physics Hunan University of Science and Engineering Department of Physics Beijing Normal University School of Physics Science and Technology Central South University

Recent years, several ways of implementing quantum games in different physical systems have been presented. In this paper, we perform a theoretical analysis of an experimentally feasible way to implement a two player quantum game in cavity quantum electrodynamic（QED）. In the scheme, the atoms interact simultaneously with a highly detuned cavity mode with the assistance of a classical field. So the scheme is insensitive to the influence from the cavity decay and the thermal field, and it does not require the cavity to remain in the vacuum state throughout the procedure.

关键词： entanglement quantum game cavity QED

Proposal of Realization Restricted quantum game with Linear Optic Method

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Communications in Theoretical Physics 2006年第1期45卷 75-78页

作者： ZHAO Hai-Jun PANG Xi-Ming Department of Physics Hunan Normal University Changsha 410081 China

We present a quantum game with the restricted strategic space and its realization with linear optical system, which can be played by two players who are separated remotely. This game can also be realized on any other quantum computers. We find that the constraint brings some interesting properties that are useful for making game models.

关键词： quantum game restriction equilibrium linear optic

Scheme for Implementation of quantum game in Cavity QED

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Communications in Theoretical Physics 2008年第1期49卷 100-102页

作者： CAO Shu-Ai FANG Mao-Fa ZHENG Xiao-Juan WANG Xin-Wen LI Ze-Hua College of Science South China Agricultural University Guangzhou 510642 China College of Physics and Information Science Hunan Normal University Changsha 410081 China School of Physical Science and Technology Central South University Changsha 410083 China Department of Physics Hunan University of Science and Engineering Yongzhou 425100 China

We propose an experimentally feasible scheme to implement two-player quantum game in cavity quantum electrodynamics （QED）. During the process, the cavity is only virtually excited, thus our scheme is insensitive to ... 详细信息

关键词： entanglement quantum game cavity QED

Linear optics implementation for quantum game under quantum noise

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Chinese Physics B 2006年第2期15卷 276-280页

作者：曹帅方卯发 College of Physics and Information Science Hunan Normal University Changsha 410081 China

It has recently been shown that linear optics alone would suffice to implement efficient quantum computation. quantum computation circuits using coherent states as the logical qubits can be constructed from very simple linear networks, conditional measurements and coherent superposition resource states. We present the quantum game under quantum noise and a proposal for implementing the noisy quantum game using only linear optics.

关键词： entanglement quantum game linear optics

The effect of quantum noise on the restricted quantum game

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Chinese Physics B 2006年第1期15卷 60-65页

作者：曹帅方卯发 College of Physics and Information Science Hunan Normal University Changsha 410081 China

It has recently been established that quantum strategies have great advantage over classical ones in quantum games. However, quantum states are easily affected by the quantum noise resulting in decoherence. In this paper, we investigate the effect of quantum noise on the restricted quantum game in which one player is restricted in classical strategic space, another in quantum strategic space and only the quantum player is affected by the quantum noise. Our results show that in the maximally entangled state, no Nash equilibria exist in the range of 0 〈 p ≤ 0.422 （p is the quantum noise parameter）, while two special Nash equilibria appear in the range of 0.422 〈 p 〈 1. The advantage that the quantum player diminished only in the limit of maximum quantum noise. Increasing the amount of quantum noise leads to the increase of the classical player＇s payoff and the reduction of the quantum player＇s payoff, but is helpful in forming two Nash equilibria.

关键词： entanglement quantum game qnantum noise Nash equilibria

The effect of quantum noise on multiplayer quantum game

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Chinese Physics B 2007年第4期16卷 915-918页

作者：曹帅方卯发郑小娟 College of Physics and Information Science Human Normal University Changsha 410081 China College of Sciences South China Agricultural University Guangzhou 510642 China School of Physics Science and Technology Central South University Changsha 410083 China

It has recently been realized that quantum strategies have a great advantage over classical ones in quantum games. However, quantum states are easily affected by the quantum noise, resulting in decoherence. In this paper, we investigate the effect of quantum noise on a multiplayer quantum game with a certain strategic space, with all players affected by the same quantum noise at the same time. Our results show that in a maximally entangled state, a special Nash equilibrium appears in the range of 0≤p≤0.622 （p is the quantum noise parameter）, and then disappears in the range of 0.622 〈 p≤ 1. Increasing the amount of quantum noise leads to the reduction of the quantum player＇s payoff.

关键词： entanglement quantum game quantum noise Nash equilibrium

The impact of honesty and trickery on a Bayesian quantum prisoners’ dilemma game

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Chinese Physics B 2020年第7期29卷 221-227页

作者： Bo-Yang Liu Xin Zhao Hong-Yi Dai Ming Zhang Ying Liao Xiao-Feng Guo Wei Gao Information Engineering University Zhengzhou 450001China College of Artificial Intelligence National University of Defense TechnologyChangsha 410073China Department of Physics College of ScienceNational University of Defense TechnologyChangsha 410073China Interdisciplinary Center for quantum Information National University of Defense TechnologyChangsha 410073China

To explore the influence of quantum information on the common social problem of honesty and trickery,we propose a Bayesian model for the quantum prisoners’dilemma *** this model,the players’strategy formation is regarded as a negotiation of their move contract based on their types of decision policies,honesty or *** the implementation of quantum information cannot eliminate tricky players,players in our model can always end up with higher payoffs than in the classical *** a good proportion of a credibility parameter value,a rational player will take an honest action,which is in remarkable contrast to the observation that players tend to defect in the classical prisoners’dilemma *** research suggests that honesty will be promoted to enhance cooperation with the assistance of quantum information resources.

关键词： quantum game Bayesian game quantum contract

Generalized quantum games with Nash Equilibrium

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Communications in Theoretical Physics 2004年第4期41卷 553-556页

作者： LIUXu-Feng DepartmentofMathematics PekingUniversityBeijing100871China

We define generalized quantum games by introducing the coherent payoff operators and propose a simple scheme to illustrate *** scheme is implemented with a single spin qubit system and a two-entangled-qubit *** Nash E... 详细信息

关键词： quantum game Nash equilibrium