Playing distributed two-party quantum games on quantum networks

Liu, Boyang; Hirata, Dai; Zhang, Ming

doi:10.1007/s11128-017-1738-0

Cited by 11 publications

(3 citation statements)

References 66 publications

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“…In other words, entanglement cannot enhance the cooperation if the profit distribution polices are not reasonable or fair. Our recent research [28] also indicates that entanglement can also be utilized to enhance the cooperation of distant players with the help of quantum networks. We come 030202-4 to realize that neither quantum entanglement nor quantum network can offer full cooperation without fair profit distribution policies.…”

Section: Discussionmentioning

confidence: 99%

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

Zhenzhou¹,

Liu²,

Hirata³

et al. 2018

Chinese Phys. B

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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.

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Section: Discussionmentioning

confidence: 99%

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

Zhenzhou¹,

Liu²,

Hirata³

et al. 2018

Chinese Phys. B

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“…It has also been exemplified in Refs. [32][33][34] that quantum entanglement and fairness will promote full cooperation among distant peoples from various interest groups based on quantization of the extended classical 'cash in a hat' game. Full cooperation relies on not only the degree of quantum entanglement but also the degree of fairness.…”

Section: -2mentioning

confidence: 99%

Impact of Distribution Fairness Degree and Entanglement Degree on Cooperation

Zhao¹,

Liu²,

Hirata³

et al. 2018

Chinese Phys. Lett.

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We explore the impact of distributional fairness degree and entanglement degree on the cooperation between different players by investigating a modified prisoner’s dilemma game. We not only introduce a new concept of distributional fairness degree, but also obtain the cooperation conditions for overcoming dilemma in terms of fairness and entanglement inequalities. It is demonstrated that distributional fairness can be of fundamental importance to promote cooperation with the help of quantum entanglement.

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“…Previous studies on quantum games generally focus on one of these two stages. For instance, the Eisert-Lewenstein-Wilkens quantum game scheme [9,[13][14][15][16] concentrates on the quantization of strategy negotiation process, where strategy operations are expanded from classical bit operators to unitary quantum gates, and the measurement basis for move decision is assumed to be constant. In contrast, players adjust the measurement basis in Marinatto's scheme [17][18][19][20][21] and Bayesian quantum games [22][23][24][25][26][27][28] to optimize their move decision policies.…”

Section: Introductionmentioning

confidence: 99%

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

Liu¹,

Zhao²,

Hirata³

et al. 2020

Chinese Phys. B

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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 game. In this model, the players’ strategy formation is regarded as a negotiation of their move contract based on their types of decision policies, honesty or trickery. Although the implementation of quantum information cannot eliminate tricky players, players in our model can always end up with higher payoffs than in the classical game. For 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 game. This research suggests that honesty will be promoted to enhance cooperation with the assistance of quantum information resources.

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Playing distributed two-party quantum games on quantum networks

Cited by 11 publications

References 66 publications

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

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

Impact of Distribution Fairness Degree and Entanglement Degree on Cooperation

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

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