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Quantum Two Player Game in Thermal Environment

Author

Listed:
  • Jerzy Dajka
  • Dawid Kłoda
  • Marcin Łobejko
  • Jan Sładkowski

Abstract

A two-player quantum game is considered in the presence of thermal decoherence. It is shown how the thermal environment modeled in terms of rigorous Davies approach affects payoffs of the players. The conditions for either beneficial or pernicious effect of decoherence are identified. The general considerations are exemplified by the quantum version of Prisoner Dilemma.

Suggested Citation

  • Jerzy Dajka & Dawid Kłoda & Marcin Łobejko & Jan Sładkowski, 2015. "Quantum Two Player Game in Thermal Environment," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-13, August.
    • Handle: RePEc:plo:pone00:0134916
    DOI: 10.1371/journal.pone.0134916
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    References listed on IDEAS

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    1. Piotrowski, Edward W. & Sładkowski, Jan, 2008. "Quantum auctions: Facts and myths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.
    2. Edward Piotrowski & Jan Sładkowski, 2004. "Quantum games in finance," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 61-67.
    3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    4. Edward W. Piotrowski & Jan Sladkowski, "undated". "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
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