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Measurable systems and behavioral sciences

Author

Listed:
  • Vladimir Ivanovitch Danilov

    (CEMI - Central Economic Mathematical Institute - RAS - Russian Academy of Sciences [Moscow])

  • Ariane Lambert-Mogiliansky

    (PJSE - Paris-Jourdan Sciences Economiques - 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, 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

Individual choices often depend on the order in which the decisions are made. In this paper, we expose a general theory of measurable systems (an example of which is an individual characterized by her preferences) allowing for incompatible (non-commuting) measurements. The basic concepts are illustrated in an example of non-classical rational choice. We conclude with a discussion of some of the basic properties of non-classical systems in the context of social sciences. In particular, we argue that the distinctive feature of non-classical systems translates into a formulation of bounded rationality.

Suggested Citation

  • Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2008. "Measurable systems and behavioral sciences," Post-Print halshs-00754291, HAL.
    • Handle: RePEc:hal:journl:halshs-00754291
    DOI: 10.1016/j.mathsocsci.2007.10.004
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    References listed on IDEAS

    as
    1. Pierfrancesco La Mura, 2003. "Correlated Equilibria of Classical Strategic Games with Quantum Signals," Papers quant-ph/0309033, arXiv.org.
    2. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
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    Cited by:

    1. V. I. Yukalov & D. Sornette, 2012. "Quantum decision making by social agents," Papers 1202.4918, arXiv.org, revised Oct 2015.
    2. Ariane Lambert-Mogiliansky & François Dubois, 2015. "Transparency in Public Life. A Quantum Cognition Perspective," Working Papers halshs-01064980, HAL.
    3. Ariane Lambert-Mogiliansky & François Dubois, 2015. "Transparency in Public Life. A Quantum Cognition Perspective," PSE Working Papers halshs-01064980, HAL.
    4. 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.
    5. Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2007. "Non-classical expected utility theory with application to type indeterminacy," Working Papers halshs-00587721, HAL.
    6. 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.
    7. V. Danilov & A. Lambert-Mogiliansky, 2010. "Expected utility theory under non-classical uncertainty," Theory and Decision, Springer, vol. 68(1), pages 25-47, February.
    8. Vladimir Danilov, 2009. "Modelling of Non-Commuting Measurements," Journal of the New Economic Association, New Economic Association, issue 1-2, pages 10-36.
    9. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," Working Papers halshs-00564895, HAL.
    10. Hammond, Peter J, 2011. "Laboratory Games and Quantum Behaviour: The Normal Form with a Separable State Space," The Warwick Economics Research Paper Series (TWERPS) 969, University of Warwick, Department of Economics.
    11. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," PSE Working Papers halshs-00564895, HAL.
    12. 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.
    13. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with Type-Indeterminate Players," PSE-Ecole d'économie de Paris (Postprint) halshs-00754695, HAL.
    14. 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.
    15. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," Working Papers halshs-00566780, HAL.
    16. 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.
    17. Ariane Lambert-Mogiliansky & François Dubois, 2015. "Our (represented) World: A Quantum-Like Object," Working Papers halshs-01152332, HAL.
    18. Ariane Lambert-Mogiliansky & Ismael Martinez-Martinez, 2014. "Basic Framework for Games with Quantum-like Players," PSE Working Papers hal-01095472, HAL.

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