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Type indeterminacy - A Model of the KT(Khaneman Tversky)- Man

Author

Listed:
  • Ariane Lambert-Mogiliansky

    (PJSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - 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)

  • Schmuel Zamir

    (Center for the Study of Rationality - Hebrew University)

  • Hervé Zwirn

    (IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques - UP1 - Université Panthéon-Sorbonne - DEC - Département d'Etudes Cognitives - ENS Paris - ENS Paris - École normale supérieure - Paris - CNRS - Centre National de la Recherche Scientifique, CMLA - Centre de Mathématiques et de Leurs Applications - ENS Cachan - École normale supérieure - Cachan - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we propose to use elements of the mathematical formalism of Quantum Mechanics to capture the idea that agents' preferences, in addition to being typically uncertain, can also be indeterminate. They are determined (i.e., realized, and not merely revealed) only when the action takes place. An agent is described by a state that is a superposition of potential types (or preferences or behaviors). This superposed state is projected (or "collapses") onto one of the possible behaviors at the time of the interaction. In addition to the main goal of modeling uncertainty of preferences that is not due to lack of information, this formalism seems to be adequate to describe widely observed phenomena of non-commutativity in patterns of behavior. We explore some implications of our approach in a comparison between classical and type indeterminate rational choice behavior. The potential of the approach is illustrated in two examples.

Suggested Citation

  • Ariane Lambert-Mogiliansky & Schmuel Zamir & Hervé Zwirn, 2009. "Type indeterminacy - A Model of the KT(Khaneman Tversky)- Man," Post-Print halshs-00754333, HAL.
  • Handle: RePEc:hal:journl:halshs-00754333
    DOI: 10.1016/j.jmp.2009.01.001
    Note: View the original document on HAL open archive server: https://hal-pjse.archives-ouvertes.fr/halshs-00754333
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    References listed on IDEAS

    as
    1. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    2. Erev, Ido & Bornstein, Gary & Wallsten, Thomas S., 1993. "The Negative Effect of Probability Assessments on Decision Quality," Organizational Behavior and Human Decision Processes, Elsevier, vol. 55(1), pages 78-94, June.
    3. Colin F. Camerer, 1997. "Progress in Behavioral Game Theory," Journal of Economic Perspectives, American Economic Association, vol. 11(4), pages 167-188, Fall.
    4. Selten, Reinhard, 1998. "Features of experimentally observed bounded rationality," European Economic Review, Elsevier, vol. 42(3-5), pages 413-436, May.
    5. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    6. McFadden, Daniel, 1999. "Rationality for Economists?," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 73-105, December.
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    Citations

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    Cited by:

    1. Dino Borie, 2013. "Expected utility theory with non-commutative probability theory," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(2), pages 295-315, October.
    2. Khrennikov, Andrei, 2015. "Quantum version of Aumann’s approach to common knowledge: Sufficient conditions of impossibility to agree on disagree," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 89-104.
    3. Zabaleta, O.G. & Arizmendi, C.M., 2010. "Quantum dating market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2858-2863.
    4. V. I. Yukalov & D. Sornette, 2012. "Quantum decision making by social agents," Papers 1202.4918, arXiv.org, revised Oct 2015.
    5. Godfrey Cadogan, 2012. "Representation theory for risk on markowitz-tversky-kahneman topology," Economics Bulletin, AccessEcon, vol. 32(4), pages 1-34.
    6. Ariane Lambert-Mogiliansky & Jerome Busemeyer, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-Control through Identity Management," Games, MDPI, Open Access Journal, vol. 3(2), pages 1-22, May.
    7. Ariane Lambert-Mogiliansky & François Dubois, 2015. "Transparency in Public Life. A Quantum Cognition Perspective," PSE Working Papers halshs-01064980, HAL.
    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. Jerome R. Busemeyer & Jörg Rieskamp, 2014. "Psychological research and theories on preferential choice," Chapters,in: Handbook of Choice Modelling, chapter 3, pages 49-72 Edward Elgar Publishing.
    10. Siegfried K. Berninghaus & Lora R. Todorova & Bodo Vogt, 2012. "How Sensitive is Strategy Selection in Coordination Games?," FEMM Working Papers 120020, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    11. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," Working Papers halshs-00566780, HAL.
    12. repec:eee:ecomod:v:281:y:2014:i:c:p:38-51 is not listed on IDEAS
    13. Jérôme Busemeyer & Ariane Lambert-Mogiliansky, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-control Through Identity Management," Working Papers halshs-00692024, HAL.
    14. Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2005. "Non-classical measurement theory: a framework forbehavioral sciences," PSE Working Papers halshs-00590714, HAL.
    15. Adam Brandenburger, 2007. "A Connection Between Correlation in Game Theory and Quantum Mechanics," Levine's Working Paper Archive 122247000000001725, David K. Levine.
    16. 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.
    17. Vladimir Ivanovitch Danilov & Ariane Lambert-Mogiliansky, 2005. "Non-classical measurement theory: a framework forbehavioral sciences," Working Papers halshs-00590714, HAL.
    18. 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.
    19. Vladimir Danilov, 2009. "Modelling of Non-Commuting Measurements," Journal of the New Economic Association, New Economic Association, issue 1-2, pages 10-36.
    20. Adam Brandenburger, 2008. "The Relationship Between Classical and Quantum Correlation in Games," Levine's Working Paper Archive 122247000000002312, David K. Levine.
    21. V. Danilov & A. Lambert-Mogiliansky, 2010. "Expected utility theory under non-classical uncertainty," Theory and Decision, Springer, vol. 68(1), pages 25-47, February.
    22. Lora R. Todorova, 2012. "Quantum Risk Preferences in a Laboratory Experiment," FEMM Working Papers 120025, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    23. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," PSE Working Papers halshs-00566780, HAL.
    24. Haven, Emmanuel & Sozzo, Sandro, 2016. "A generalized probability framework to model economic agents' decisions under uncertainty," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 297-303.

    More about this item

    Keywords

    Indeterminacy; Non-commutativity; Quantum state;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology

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