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Quantum Type Indeterminacy in Dynamic Decision-Making: Self-Control through Identity Management

Author

Listed:
  • Ariane Lambert-Mogiliansky

    () (Paris School of Economics, 48 bd Jourdan, 75014 Paris, France)

  • Jerome Busemeyer

    () (Department of Psychological and Brain Sciences, Indiana University, Bloomington, IN 47 468, USA)

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 a dynamic decision context, type indeterminacy induces a game with multiple selves associated with a state transition process. We define a Markov perfect equilibrium among the selves with individual identity (preferences) as the state variable. The approach allows to characterize generic personality types and derive some comparative static results.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jgames:v:3:y:2012:i:2:p:97-118:d:17759
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    References listed on IDEAS

    as
    1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
    2. David K. Levine & Drew Fudenberg, 2006. "A Dual-Self Model of Impulse Control," American Economic Review, American Economic Association, vol. 96(5), pages 1449-1476, December.
    3. Roland Bénabou & Jean Tirole, 2011. "Identity, Morals, and Taboos: Beliefs as Assets," The Quarterly Journal of Economics, Oxford University Press, vol. 126(2), pages 805-855.
    4. Danilov, V.I. & Lambert-Mogiliansky, A., 2008. "Measurable systems and behavioral sciences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 315-340, May.
    5. Ariane Lambert Mogiliansky & Shmuel Zamir & Herve Zwirn, 2003. "Type Indeterminacy: A Model of the KT(Kahneman-Tversky)-man," Discussion Paper Series dp343, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    6. Bezalel Peleg & Menahem E. Yaari, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 391-401.
    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. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," PSE Working Papers halshs-00566780, HAL.
    9. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    10. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," Working Papers halshs-00566780, HAL.
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    More about this item

    Keywords

    indeterminacy; decision-making; self-control; identity;

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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