IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/halshs-00754695.html
   My bibliography  Save this paper

Endogenous preferences in games with Type-Indeterminate Players

Author

Listed:
  • Ariane Lambert-Mogiliansky

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

The Type Indeterminacy model is a theoretical framework that uses some elements of quantum formalism to model the constructive preference perspective suggested by Kahneman and Tversky. In this paper we extend the TI-model from simple to strategic decision-making and show that TI-games open a new field of strategic interaction. We first establish an equivalence result between static games of incomplete information and static TI-games. We next develop a new solution concept for non-commuting dynamic TI-games. The updating rule captures the novelty brought about by Type Indeterminacy namely that in addition to affecting information and payoffs, the action of a player impacts on the profile of types. We provide an example showing that TI-game predictions cannot be obtained as Bayes Nash equilibrium of the corresponding classical game.

Suggested Citation

  • Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with Type-Indeterminate Players," PSE-Ecole d'économie de Paris (Postprint) halshs-00754695, HAL.
  • Handle: RePEc:hal:pseptp:halshs-00754695
    Note: View the original document on HAL open archive server: https://pjse.hal.science/halshs-00754695
    as

    Download full text from publisher

    File URL: https://pjse.hal.science/halshs-00754695/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Danilov, V.I. & Lambert-Mogiliansky, A., 2008. "Measurable systems and behavioral sciences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 315-340, May.
    2. Pierfrancesco La Mura, 2003. "Correlated Equilibria of Classical Strategic Games with Quantum Signals," Papers quant-ph/0309033, arXiv.org.
    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. Ariane Lambert-Mogiliansky & Jerome Busemeyer, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-Control through Identity Management," Games, MDPI, vol. 3(2), pages 1-22, May.

    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. Ariane Lambert-Mogiliansky & Jerome Busemeyer, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-Control through Identity Management," Games, MDPI, vol. 3(2), pages 1-22, May.
    2. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," PSE Working Papers halshs-00564895, HAL.
    3. Ariane Lambert-Mogiliansky & Ismael Martinez-Martinez, 2014. "Basic Framework for Games with Quantum-like Players," PSE Working Papers hal-01095472, HAL.
    4. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," Working Papers halshs-00564895, HAL.
    5. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," Working Papers halshs-00566780, HAL.
    6. Ismaël Rafaï & Sébastien Duchêne & Eric Guerci & Irina Basieva & Andrei Khrennikov, 2022. "The triple-store experiment: a first simultaneous test of classical and quantum probabilities in choice over menus," Theory and Decision, Springer, vol. 92(2), pages 387-406, March.
    7. Emmanuel Haven, 2008. "Private Information and the ‘Information Function’: A Survey of Possible Uses," Theory and Decision, Springer, vol. 64(2), pages 193-228, March.
    8. Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2016. "Quantum-like models cannot account for the conjunction fallacy," Theory and Decision, Springer, vol. 81(4), pages 479-510, November.
    9. V. Danilov & A. Lambert-Mogiliansky, 2010. "Expected utility theory under non-classical uncertainty," Theory and Decision, Springer, vol. 68(1), pages 25-47, February.
    10. Brandenburger, Adam, 2010. "The relationship between quantum and classical correlation in games," Games and Economic Behavior, Elsevier, vol. 69(1), pages 175-183, May.
    11. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," PSE Working Papers halshs-00566780, HAL.
    12. Danilov, V.I. & Lambert-Mogiliansky, A., 2008. "Measurable systems and behavioral sciences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 315-340, May.
    13. Temzelides, Ted, 2010. "Modeling the act of measurement in the social sciences," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 607-615, July.
    14. David K Levine, 2005. "Quantum Games Have No News For Economics," Levine's Working Paper Archive 618897000000001000, David K. Levine.
    15. Ariane Lambert-Mogiliansky & François Dubois, 2015. "Transparency in Public Life. A Quantum Cognition Perspective," Working Papers halshs-01064980, HAL.
    16. Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2007. "Non-classical expected utility theory with application to type indeterminacy," PSE Working Papers halshs-00587721, HAL.
    17. C. Sarris & A. Proto, 2014. "Quantum models for decision making and opinion dynamics the role of the Lie algebras," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(4), pages 1945-1956, July.
    18. V. I. Danilov & A. Lambert-Mogiliansky, 2005. "Non-classical Measurement Theory: a Framework for Behavioral Sciences," Levine's Working Paper Archive 122247000000000899, David K. Levine.
    19. Boyer-Kassem, Thomas & Duchêne, Sébastien & Guerci, Eric, 2016. "Testing quantum-like models of judgment for question order effect," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 33-46.
    20. Adam Brandenburger, 2008. "The Relationship Between Classical and Quantum Correlation in Games," Levine's Working Paper Archive 122247000000002312, David K. Levine.

    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:hal:pseptp:halshs-00754695. 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: Caroline Bauer (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.