Quantum market games

Piotrowski, Edward W.; Sładkowski, Jan

doi:10.1016/s0378-4371(02)00842-7

Cited by 112 publications

(98 citation statements)

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“…Also distributed computing, cryptography, watermarking and information hiding tasks can be modeled as games [26][27][28][29][30][31][32]. Piotrowski and Sladkowski have modeled markets, auctions and bargaining assuming traders can use quantum protocols [33,34]. In the new quantum market games, transactions are described in terms of projective operations acting on Hilbert spaces of strategies of traders.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, quantum mechanics has features that can be used to model aspects of market behavior. For example, traders observe the actions of other players and adjust their actions [34] and the maximal capital flow at a given price corresponds to entanglement between buyers and sellers [33]. Nature may be playing quantum survival games at the molecular level [36,37].…”

Section: Introductionmentioning

confidence: 99%

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Quantum Replicator Dynamics

Hidalgo

2006

Physica A: Statistical Mechanics and its Applications

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We propose quantization relationships which would let us describe and solution problems originated by conflicting or cooperative behaviors among the members of a system from the point of view of quantum mechanical interactions. The quantum analogue of the replicator dynamics is the equation of evolution of mixed states from quantum statistical mechanics. A system and all its members will cooperate and rearrange its states to improve their present condition. They strive to reach the best possible state for each of them which is also the best possible state for the whole system. This led us to propose a quantum equilibrium in which a system is stable only if it maximizes the welfare of the collective above the welfare of the individual. If it is maximized the welfare of the individual above the welfare of the collective the system gets unstable and eventually it collapses.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum Replicator Dynamics

Hidalgo

2006

Physica A: Statistical Mechanics and its Applications

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“…After proposing a quantum-like description of markets and economics, Piotrowski further presents a simple but nontrivial class of the quantum strategies in buying-selling games [42,43] . The Giffen paradoxes in quantum game model formalism is discussed by Sladkowski [44] .…”

Section: Quantum Game Applicationsmentioning

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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“…Plenty of quantum variants of problems analysed by the traditional classical game theory (see [15,16,17]) have already been put forward. First attempts at creating quantum economy by applying quantum game theory to selected economic problems have been made too [18]. It is assumed that there exists a market where financial transactions are made with help of quantum computers operating on quantum strategies [18,19,20].…”

Section: Introductionmentioning

confidence: 99%

“…First attempts at creating quantum economy by applying quantum game theory to selected economic problems have been made too [18]. It is assumed that there exists a market where financial transactions are made with help of quantum computers operating on quantum strategies [18,19,20]. It is essential to mention here that game theory in its traditional form has been formulated in the context of economic issues.…”

Section: Introductionmentioning

confidence: 99%

Quantum cat's dilemma: an example of intransitivity in a quantum game

Makowski

Piotrowski

2006

Physics Letters A

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We study a quantum version of the sequential game illustrating problems connected with making rational decisions. We compare the results that the two models (quantum and classical) yield. In the quantum model intransitivity gains importance significantly. We argue that the quantum model describes our spontaneously shown preferences more precisely than the classical model, as these preferences are often intransitive.

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Quantum market games

Abstract: We propose a quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory.

Cited by 112 publications

References 11 publications

Quantum Replicator Dynamics

Quantum Replicator Dynamics

A survey of the current status of research on quantum games

Quantum cat's dilemma: an example of intransitivity in a quantum game

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