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The Next Stage: Quantum Game Theory


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  • Edward W. Piotrowski


  • Jan Sladkowski



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.

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Paper provided by University of Bialtystok, Department of Theoretical Physics in its series Departmental Working Papers with number 18.

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Handle: RePEc:sla:eakjkl:18

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  1. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  2. 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.
  3. Velupillai, K., 2000. "Computable Economics: The Arne Ryde Memorial Lectures," OUP Catalogue, Oxford University Press, number 9780198295273.
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Cited by:
  1. Edward W. Piotrowski & Jan Sladkowski, 2008. "A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution," Papers 0811.2084,
  2. Marcin Makowski & Edward W. Piotrowski, . "Quantum Cat's Dilemma: an Example of Intransitivity in a Quantum Game," Departmental Working Papers 28, University of Bialtystok, Department of Theoretical Physics.
  3. Edward W. Piotrowski & Jan Sladkowski, . "Quantum Auctions: Facts and Myths," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics.
  4. Edward W. Piotrowski & Jan Sladkowski, . "Quantum Transmemetic Intelligence," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.
  5. Badredine Arfi, 2005. "Resolving the Trust Predicament: A Quantum Game-theoretic Approach," Theory and Decision, Springer, vol. 59(2), pages 127-174, 09.
  6. Edward W. Piotrowski, . "Quantum Mind. A sketch (in Polish)," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.
  7. Edward W. Piotrowski, . "The Donkey and Cat's Dilemmas (in Polish)," Departmental Working Papers 110pl, University of Bialtystok, Department of Theoretical Physics.
  8. Edward W. Piotrowski & Jan Sladkowski, . "Quantum Games and Programmable Quantum Systems," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics.
  9. Luca Lambertini, 2013. "John von Neumann between Physics and Economics: A Methodological Note," Working Paper Series 40_13, The Rimini Centre for Economic Analysis.
  10. Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, . "Quantization of Games: Towards Quantum Artificial Intelligence," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics.
  11. Edward W. Piotrowski, . "Problems with the Astumian's Paradox (in Polish)," Departmental Working Papers 121pl, University of Bialtystok, Department of Theoretical Physics.


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