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The Next Stage: Quantum Game Theory

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  • Edward W. Piotrowski

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  • Jan Sladkowski

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Abstract

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent development in quantum game theory. 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.

Suggested Citation

  • Edward W. Piotrowski & Jan Sladkowski, "undated". "The Next Stage: Quantum Game Theory," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.
  • Handle: RePEc:sla:eakjkl:18
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    File URL: http://alpha.uwb.edu.pl/ep/RePEc/sla/eakjkl/18.pdf
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    References listed on IDEAS

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    1. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, January.
    2. Velupillai, K., 2000. "Computable Economics: The Arne Ryde Memorial Lectures," OUP Catalogue, Oxford University Press, number 9780198295273.
    3. Flitney, A.P. & Abbott, D., 2003. "Quantum models of Parrondo's games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 152-156.
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    Citations

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    Cited by:

    1. Piotrowski, Edward W. & SÅ‚adkowski, Jan, 2008. "Quantum auctions: Facts and myths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.
    2. Edward W. Piotrowski, "undated". "Problems with the Astumian's Paradox (in Polish)," Departmental Working Papers 121pl, University of Bialtystok, Department of Theoretical Physics.
    3. Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantization of Games: Towards Quantum Artificial Intelligence," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics.
    4. Edward W. Piotrowski, "undated". "The Donkey and Cat's Dilemmas (in Polish)," Departmental Working Papers 110pl, University of Bialtystok, Department of Theoretical Physics.
    5. Luca Lambertini, 2013. "John von Neumann between Physics and Economics: A methodological note," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 5(2), pages 177-189, December.
    6. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Auctions: Facts and Myths," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics.
    7. Marcin Makowski & Edward W. Piotrowski, "undated". "Quantum Cat's Dilemma: an Example of Intransitivity in a Quantum Game," Departmental Working Papers 28, University of Bialtystok, Department of Theoretical Physics.
    8. Edward W. Piotrowski & Jan Sladkowski, 2008. "A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution," Papers 0811.2084, arXiv.org.
    9. Edward W. Piotrowski, "undated". "Quantum Mind. A sketch (in Polish)," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.
    10. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Transmemetic Intelligence," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.
    11. Badredine Arfi, 2005. "Resolving the Trust Predicament: A Quantum Game-theoretic Approach," Theory and Decision, Springer, vol. 59(2), pages 127-174, September.
    12. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Games and Programmable Quantum Systems," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics.

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