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15
Playing Games with EPR-Type Experiments
- J. Phys. A: Math. Gen
, 2005
"... An approach towards quantum games is proposed that uses the unusual probabilities involved in EPR-type experiments directly in two-player games. Key words: Quantum games; Local hidden variable; Bell-CHSH inequality; negative probability measure. ..."
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Cited by 6 (0 self)
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An approach towards quantum games is proposed that uses the unusual probabilities involved in EPR-type experiments directly in two-player games. Key words: Quantum games; Local hidden variable; Bell-CHSH inequality; negative probability measure.
Quantum Cat’s Dilemma: an example of intransitivity in a quantum game
- Phys.Lett.A
"... 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 ou ..."
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Cited by 5 (1 self)
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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.
Quantum games and programmable quantum systems
, 2005
"... Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the cases quantum description of the system provides advantages over the classical approach. Game theory, the study of decision ..."
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Cited by 2 (0 self)
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Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the cases quantum description of the system provides advantages over the classical approach. Game theory, the study of decision making in conflict situation has already been extended to the quantum domain. We would like to review the latest development in quantum game theory that is relevant to information processing. We will begin by illustrating the general idea of a quantum game and methods of gaining an advantage over “classical opponent”. Then we review the most important game theoretical aspects of quantum information processing. On grounds of the discussed material, we reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. The idea of quantum artificial intelligence is explained.
Quantization of games: Towards quantum artificial intelligence
- Theoretical Computer Science
"... On grounds of the discussed material, we reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. The idea of quantum artificial intelligence is explained. ..."
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Cited by 1 (0 self)
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On grounds of the discussed material, we reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. The idea of quantum artificial intelligence is explained.
Quantum Game Theory in Finance
"... This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and society is also discussed. The review is addressed to non–specialists. ..."
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This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and society is also discussed. The review is addressed to non–specialists.
Combinatorial auctions 1 are the great frontier of auction theory today,....
"... Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its advantages and drawbacks. Then we describe the models that hav ..."
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Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its advantages and drawbacks. Then we describe the models that have already been put forward. A general model involves Wigner formalism and infinite dimensional Hilbert spaces – we envisage that the implementation might not be an easy task. But a restricted model advocated by the Hewlett-Packard group (Hogg et al) seems to be much easier to implement. We focus on problems related to combinatorial auctions and technical assumptions that are made. Powerful quantum algorithms for finding solutions would extend the range of possible applications. Quantum strategies, being qubits, can be teleported but are immune from cloning – therefore extreme privacy of agent’s activity could in principle be guaranteed. Then we point out some key problem that have to be solved before commercial use would be possible. With present technology, optical networks, single photon sources and detectors seems to be sufficient for experimental realization in the near future. Key words: quantum game, quantum information theory, quantum markets, quantum finance, auction theory
Combinatorial auctions are the great frontier of auction theory today,....
, 709
"... Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its advantages and drawbacks. Then we describe the models that hav ..."
Abstract
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Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its advantages and drawbacks. Then we describe the models that have already been put forward. A general model involves Wigner formalism and infinite dimensional Hilbert spaces – we envisage that the implementation might not be an easy task. But a restricted model advocated by the Hewlett-Packard group seems to be much easier to implement. Simulations involving humans have already been performed. We will focus on problems related to combinatorial auctions and technical assumptions that are made. Quantum approach offers at least two important developments. Powerful quantum algorithms for finding solutions would extend the range of possible applications. Quantum strategies, being qubits, can be teleported but are immune from cloning – therefore extreme privacy of agent’s activity could in principle be guaranteed. Then we point out some key problem that have to be solved before commercial use would be possible. With present technology, optical networks, single photon sources and detectors seems to be sufficient for experimental realization in the near future. We conclude by describing potential customers, estimating the potential market size and possible timing. Key words: quantum game, quantum information theory, quantum markets, quantum finance, auction theory
Quantum Cat’s Dilemma
, 2005
"... 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 ou ..."
Abstract
- Add to MetaCart
(Show Context)
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.
Playing games with EPR type experiments
, 2008
"... An approach towards quantum games is proposed that uses the unusual probabilities involved in EPR type experiments directly in twoplayer games. ..."
Abstract
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An approach towards quantum games is proposed that uses the unusual probabilities involved in EPR type experiments directly in twoplayer games.
