IDEAS home Printed from https://ideas.repec.org/p/sla/eakjkl/28.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://alpha.uwb.edu.pl/ep/RePEc/sla/eakjkl/28.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Edward W. Piotrowski & Jan Sladkowski, "undated". "The Next Stage: Quantum Game Theory," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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 & 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.
    3. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Transmemetic Intelligence," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edward Piotrowski & Jan Sładkowski, 2004. "Quantum games in finance," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 61-67.
    2. Theodore Andronikos & Alla Sirokofskich & Kalliopi Kastampolidou & Magdalini Varvouzou & Konstantinos Giannakis & Alexander Singh, 2018. "Finite Automata Capturing Winning Sequences for All Possible Variants of the PQ Penny Flip Game," Mathematics, MDPI, vol. 6(2), pages 1-26, February.
    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 & Jan Sladkowski, 2008. "A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution," Papers 0811.2084, arXiv.org.
    5. Edward W. Piotrowski, "undated". "Quantum Mind. A sketch (in Polish)," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.
    6. 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.
    7. Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010. "Doves and hawks in economics revisited: An evolutionary quantum game theory based analysis of financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5084-5102.
    8. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Transmemetic Intelligence," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.
    9. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Games and Programmable Quantum Systems," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics.
    10. Luca Lambertini, 2013. "John von Neumann between Physics and Economics: A methodological note," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 5(2), pages 177-189, December.
    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, "undated". "Problems with the Astumian's Paradox (in Polish)," Departmental Working Papers 121pl, University of Bialtystok, Department of Theoretical Physics.
    13. Edward W. Piotrowski, "undated". "The Donkey and Cat's Dilemmas (in Polish)," Departmental Working Papers 110pl, University of Bialtystok, Department of Theoretical Physics.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sla:eakjkl:28. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/epslapl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.