IDEAS home Printed from https://ideas.repec.org/a/spr/minsoc/v18y2019i1d10.1007_s11299-019-00212-5.html
   My bibliography  Save this article

The quantum-like approach to modeling classical rationality violations: an introduction

Author

Listed:
  • Franco Vaio

    (Università di Bergamo)

Abstract

Psychological empirical research has shown that human choice behavior often violates the assumptions of classical rational choice models. In the last few decades a new research field has emerged which aims to account for the observed choice behavior by resorting to the concepts and mathematical techniques developed in the realm of quantum physics, such as the “mental state vector” defined in a Hilbert space and the interference of quantum probability. This article is a short introduction to the quantum-like approach to the description of cognitive processes. I argue that the mathematical apparatus of quantum physics can account for the observed violations of classical logic and can help develop effective models of psychological and cognitive phenomena. This is illustrated through the so-called conjunction and disjunction fallacies by providing an alternative interpretation of the results of Linda test and Hawaii test. No-fallacy configurations are made possible in the quantum-like approach by sequential modeling of mental states transitions.

Suggested Citation

  • Franco Vaio, 2019. "The quantum-like approach to modeling classical rationality violations: an introduction," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 18(1), pages 105-123, June.
  • Handle: RePEc:spr:minsoc:v:18:y:2019:i:1:d:10.1007_s11299-019-00212-5
    DOI: 10.1007/s11299-019-00212-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11299-019-00212-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11299-019-00212-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Charness, Gary & Karni, Edi & Levin, Dan, 2010. "On the conjunction fallacy in probability judgment: New experimental evidence regarding Linda," Games and Economic Behavior, Elsevier, vol. 68(2), pages 551-556, March.
    2. Craig R. Fox & Amos Tversky, 1995. "Ambiguity Aversion and Comparative Ignorance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 585-603.
    3. Chow, Clare Chua & Sarin, Rakesh K, 2001. "Comparative Ignorance and the Ellsberg Paradox," Journal of Risk and Uncertainty, Springer, vol. 22(2), pages 129-139, March.
    4. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    5. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    6. Lucia Hackermüller & Klaus Hornberger & Björn Brezger & Anton Zeilinger & Markus Arndt, 2004. "Decoherence of matter waves by thermal emission of radiation," Nature, Nature, vol. 427(6976), pages 711-714, February.
    7. Dominiak, Adam & Duersch, Peter & Lefort, Jean-Philippe, 2012. "A dynamic Ellsberg urn experiment," Games and Economic Behavior, Elsevier, vol. 75(2), pages 625-638.
    8. Maria Bagassi & Laura Macchi, 2007. "The “vanishing” of the disjunction effect by sensible procrastination," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 6(1), pages 41-52, June.
    9. Heath, Chip & Tversky, Amos, 1991. "Preference and Belief: Ambiguity and Competence in Choice under Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 4(1), pages 5-28, January.
    10. Giuseppe Mosconi & Laura Macchi, 2001. "The role of pragmatic rules in the conjunction fallacy," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 2(1), pages 31-57, March.
    Full references (including those not matched with items on IDEAS)

    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. Mercè Roca & Robin Hogarth & A. Maule, 2006. "Ambiguity seeking as a result of the status quo bias," Journal of Risk and Uncertainty, Springer, vol. 32(3), pages 175-194, May.
    2. Fox, Craig R. & Weber, Martin, 2002. "Ambiguity Aversion, Comparative Ignorance, and Decision Context," Organizational Behavior and Human Decision Processes, Elsevier, vol. 88(1), pages 476-498, May.
    3. Laure Cabantous & Denis Hilton, 2006. "De l'aversion à l'ambiguïté aux attitudes face à l'ambiguïté. Les apports d'une perspective psychologique en économie," Revue économique, Presses de Sciences-Po, vol. 57(2), pages 259-280.
    4. Jean Desrochers & J. Francois Outreville, 2013. "Uncertainty, Ambiguity and Risk Taking: an experimental investigation of consumer behavior and demand for insurance," ICER Working Papers 10-2013, ICER - International Centre for Economic Research.
    5. Paul Dolan & Martin Jones, 2004. "Explaining Attitudes Towards Ambiguity: An Experimental Test Of The Comparative Ignorance Hypothesis," Scottish Journal of Political Economy, Scottish Economic Society, vol. 51(3), pages 281-301, August.
    6. Enrico Rubaltelli & Rino Rumiati & Paul Slovic, 2010. "Do ambiguity avoidance and the comparative ignorance hypothesis depend on people’s affective reactions?," Journal of Risk and Uncertainty, Springer, vol. 40(3), pages 243-254, June.
    7. José Lara Resende & George Wu, 2010. "Competence effects for choices involving gains and losses," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 109-132, April.
    8. Paul Dolan & Martin Jones, 2002. "Explaining Attitudes towards Ambiguity: An Experimental Test of the Comparative Ignorance Hypothesis," Dundee Discussion Papers in Economics 131, Economic Studies, University of Dundee.
    9. Shaw, W. Douglass & Woodward, Richard T., 2008. "Why environmental and resource economists should care about non-expected utility models," Resource and Energy Economics, Elsevier, vol. 30(1), pages 66-89, January.
    10. Peter P. Wakker & Daniëlle R. M. Timmermans & Irma Machielse, 2007. "The Effects of Statistical Information on Risk and Ambiguity Attitudes, and on Rational Insurance Decisions," Management Science, INFORMS, vol. 53(11), pages 1770-1784, November.
    11. Irma Machielse & Danielle Timmermans & Peter Wakker, 2007. "The effects of statistical information on risk ambiguity attitudes, and on rational insurance decisions," Natural Field Experiments 00338, The Field Experiments Website.
    12. Corgnet, Brice & Hernán-González, Roberto & Kujal, Praveen, 2020. "On booms that never bust: Ambiguity in experimental asset markets with bubbles," Journal of Economic Dynamics and Control, Elsevier, vol. 110(C).
    13. Mohammed Abdellaoui & Han Bleichrodt & Cédric Gutierrez, 2023. "Unpacking Overconfident Behavior When Betting on Oneself," Post-Print hal-04383402, HAL.
    14. Gary Charness & Edi Karni & Dan Levin, 2013. "Ambiguity attitudes and social interactions: An experimental investigation," Journal of Risk and Uncertainty, Springer, vol. 46(1), pages 1-25, February.
    15. Lunn, Pete, 2011. "The Role of Decision-Making Biases in Ireland's Banking Crisis," Papers WP389, Economic and Social Research Institute (ESRI).
    16. repec:cup:judgdm:v:2:y:2007:i::p:390-397 is not listed on IDEAS
    17. Aloysius, John A., 2005. "Ambiguity aversion and the equity premium puzzle: A re-examination of experimental data on repeated gambles," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 34(5), pages 635-655, October.
    18. Aurélien Baillon & Han Bleichrodt & Umut Keskin & Olivier l’Haridon & Chen Li, 2018. "The Effect of Learning on Ambiguity Attitudes," Management Science, INFORMS, vol. 64(5), pages 2181-2198, May.
    19. Phoebe Koundouri & Nikitas Pittis & Panagiotis Samartzis, 2023. "Counterfactual Priors: A Bayesian Response to Ellsberg's Paradox," DEOS Working Papers 2307, Athens University of Economics and Business.
    20. repec:fgv:epgrbe:v:65:n:3:a:2 is not listed on IDEAS
    21. Ahsanuzzaman, & Priyo, Asad Karim Khan & Nuzhat, Kanti Ananta, 2022. "Effects of communication, group selection, and social learning on risk and ambiguity attitudes: Experimental evidence from Bangladesh," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 96(C).
    22. Farjam, Mike, 2019. "On whom would I want to depend; humans or computers?," Journal of Economic Psychology, Elsevier, vol. 72(C), pages 219-228.

    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:spr:minsoc:v:18:y:2019:i:1:d:10.1007_s11299-019-00212-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.