A quantum approach to static games of complete information

Marinatto, Luca; Weber, T.

doi:10.1016/s0375-9601(00)00441-2

Cited by 277 publications

(447 citation statements)

References 3 publications

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“…Thus this protocol would not reproduce the classical game when the phases are set to zero. So instead we follow [9] and suppose the initial state is already in the maximally entangled state:…”

Section: A Quantum Parrondo Gamementioning

confidence: 99%

Quantum Parrondo's games

Flitney

Abbott

2002

Physica A: Statistical Mechanics and its Applications

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Parrondo's Paradox arises when two losing games are combined to produce a winning one. A history dependent quantum Parrondo game is studied where the rotation operators that represent the toss of a classical biased coin are replaced by general SU (2) operators to transform the game into the quantum domain. In the initial state, a superposition of qubits can be used to couple the games and produce interference leading to quite different payoffs to those in the classical case.

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Section: A Quantum Parrondo Gamementioning

confidence: 99%

Quantum Parrondo's games

Flitney

Abbott

2002

Physica A: Statistical Mechanics and its Applications

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“…Marinatto and Weber extend the concept of a classical two-person static game to the quantum domain, by giving an Hilbert structure to the space of classical strategies and investigating the Battle of the Sexes game. They show that the introduction of entangled strategies leads to a unique solution of this game [18] . Quantum Cournot's duopoly are introduced by Li H et al Li Y et al, Zhou J et al Some novel features in the quantum Cournot's duopoly are observed, which are completely due to quantum entanglement.…”

Section: A the Main Classical Game Models And Its Quantum Counterpartmentioning

confidence: 99%

A survey of the current status of research on quantum games

Huang

2018

2018 4th International Conference on Information Management (ICIM)

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obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.The WestminsterResearch online digital archive at the University of Westminster aims to make the research output of the University available to a wider audience. Copyright and Moral Rights remain with the authors and/or copyright owners.Whilst further distribution of specific materials from within this archive is forbidden, you may freely distribute the URL of WestminsterResearch: ((http://westminsterresearch.wmin.ac.uk/).In case of abuse or copyright appearing without permission e-mail repository@westminster.ac.uk Huang, Dingxuan & Li, Shuliang Abstract -Quantum games have gained considerable interest from researchers. In this paper, on the basis of the Web of Science database, through the use of the social network analysis methods, the literature on quantum games is analyzed from three aspects: the keywords co-occurrence, coauthorship, and co-citation. In the process of analysis, the main quantum game models are reviewed with graphical illustrations. Our paper provides a survey and outline of the current status of research in this field, and identify directions for future work.. A Survey of the Current Status of Research on Quantum Games. In: Proceedings of the 2018 4th International Conference on Information Management (ICIM2018), 25th to 27th May 2018, Oxford, United Kingdom. IEEE. pp.46-52. ISBN: 978-1-5386-6146-8/18. A Survey of the Current Status of Research on Quantum Games

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“…The expected payoff for the each of the classical cheats is consequently 3 16 . For the quantum players sharing the singlet state Eq.…”

Section: Quantum and Classical Coalitionsmentioning

confidence: 99%

Coalitions in the quantum Minority game: Classical cheats and quantum bullies

Flitney

Greentree

2007

Physics Letters A

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In a one-off Minority game, when a group of players agree to collaborate they gain an advantage over the remaining players. We consider the advantage obtained in a quantum Minority game by a coalition sharing an initially entangled state versus that obtained by a coalition that uses classical communication to arrive at an optimal group strategy. In a model of the quantum Minority game where the final measurement basis is randomized, quantum coalitions outperform classical ones when carried out by up to four players, but an unrestricted amount of classical communication is better for larger coalition sizes.

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A quantum approach to static games of complete information

Abstract: We extend the concept of a classical two-person static game to the quantum domain, by giving an Hilbert structure to the space of classical strategies and studying the Battle of the Sexes game. We show that the introduction of entangled strategies leads to a unique solution of this game.

Cited by 277 publications

References 3 publications

Quantum Parrondo's games

Quantum Parrondo's games

A survey of the current status of research on quantum games

Coalitions in the quantum Minority game: Classical cheats and quantum bullies

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