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Quantum Type Indeterminacy in Dynamic Decision-Making: Self-control Through Identity Management

Listed author(s):
  • Jérôme Busemeyer

    (Indiana University - Indiana University [Bloomington])

  • Ariane Lambert-Mogiliansky

    (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - 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, PSE - Paris School of Economics)

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.

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File URL: https://halshs.archives-ouvertes.fr/halshs-00692024/document
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Paper provided by HAL in its series PSE Working Papers with number halshs-00692024.

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Date of creation: Apr 2012
Handle: RePEc:hal:psewpa:halshs-00692024
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00692024
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  1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, July.
  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. Kirchsteiger, Georg & Rigotti, Luca & Rustichini, Aldo, 2006. "Your morals might be your moods," Journal of Economic Behavior & Organization, Elsevier, vol. 59(2), pages 155-172, February.
  5. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," PSE Working Papers halshs-00564895, HAL.
  6. Danilov, V.I. & Lambert-Mogiliansky, A., 2008. "Measurable systems and behavioral sciences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 315-340, May.
  7. 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.
  8. Pierfrancesco La Mura, 2003. "Correlated Equilibria of Classical Strategic Games with Quantum Signals," Game Theory and Information 0309001, EconWPA.
  9. V. Danilov & A. Lambert-Mogiliansky, 2010. "Expected utility theory under non-classical uncertainty," Theory and Decision, Springer, vol. 68(1), pages 25-47, February.
  10. Jerry Busemeyer & Ariane Lambert-Mogiliansky, 2009. "TI-games I: An exploration of Type Indeterminacy in strategic decision-making," PSE Working Papers halshs-00566780, HAL.
  11. Roland Benabou and Jean Tirole, 2004. "Willpower and Personal Rules," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 848-886, August.
  12. Hey, John D. & Knoll, Julia A., 2007. "How far ahead do people plan?," Economics Letters, Elsevier, vol. 96(1), pages 8-13, July.
  13. Cubitt, Robin P & Starmer, Chris & Sugden, Robert, 1998. "Dynamic Choice and the Common Ratio Effect: An Experimental Investigation," Economic Journal, Royal Economic Society, vol. 108(450), pages 1362-1380, September.
  14. 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.
  15. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
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