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Quantum Cat's Dilemma: an Example of Intransitivity in a Quantum Game

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  • Marcin Makowski
  • Edward W. Piotrowski

Abstract

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.

Suggested Citation

  • 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.
    • Handle: RePEc:sla:eakjkl:28
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    File URL: http://alpha.uwb.edu.pl/ep/RePEc/sla/eakjkl/28.pdf
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    1. Edward W. Piotrowski & Jan Sladkowski, "undated". "The Next Stage: Quantum Game Theory," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.
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    Cited by:

    1. Szczypińska, Anna & Piotrowski, Edward W., 2008. "Projective market model approach to AHP decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.
    2. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Transmemetic Intelligence," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.
    3. Edward W. Piotrowski & Jerzy Luczka, "undated". "The relativistic velocity addition law optimizes a forecast gambler's profit," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics.

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