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Preparing a (quantum) belief system

Author

Listed:
  • Vladimir Ivanovitch Danilov

    (CEMI - Central Institute of Economics and Mathematics of the RAS)

  • Ariane Lambert-Mogiliansky

    (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, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - 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)

Abstract

In this paper we investigate the sensitivity to persuasion linked to the quantum indeterminacy of a decision-maker's beliefs. We formulate the persuasion problem in the context of quantum-like beliefs and we provide an economic example of belief manipulation that illustrates the setting. We next establish a theoretical result showing that in the absence of constraints on measurements, any belief state can be obtained as the result of a suitable sequence of measurements. We finally discuss the practical significance of our result in the context of persuasion.

Suggested Citation

  • Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2018. "Preparing a (quantum) belief system," PSE-Ecole d'économie de Paris (Postprint) halshs-01885417, HAL.
    • Handle: RePEc:hal:pseptp:halshs-01885417
    DOI: 10.1016/j.tcs.2018.02.017
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    References listed on IDEAS

    as
    1. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    2. V. Danilov & A. Lambert-Mogiliansky, 2010. "Expected utility theory under non-classical uncertainty," Theory and Decision, Springer, vol. 68(1), pages 25-47, February.
    3. V. I. Danilov & A. Lambert-Mogiliansky & V. Vergopoulos, 2018. "Dynamic consistency of expected utility under non-classical (quantum) uncertainty," Theory and Decision, Springer, vol. 84(4), pages 645-670, June.
    4. George A. Akerlof & Robert J. Shiller, 2015. "Phishing for Phools: The Economics of Manipulation and Deception," Economics Books, Princeton University Press, edition 1, number 10534.
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    Cited by:

    1. Danilov, V.I. & Lambert-Mogiliansky, A., 2018. "Targeting in quantum persuasion problem," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 142-149.
    2. Zheng, Xiaojing & Lu, Jinfei & Chen, Yanbin & Cong, Xinrong & Sun, Cuiping, 2021. "Random belief system dynamics in complex networks under time-varying logic constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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