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An Axiomatic Model of Non-Bayesian Updating
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An Axiomatic Model of Non-Bayesian Updating

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Abstract

This paper models an agent in a three-period setting who does not update according to Bayes'Rule, and who is self-aware and anticipates her updating behavior when formulating plans. The agent is rational in the sense that her dynamic behavior is derived from a single stable preference order on a domain of state-contingent menus of acts. A representation theorem generalizes the (dynamic version of) Anscombe-Aumann's theorem so that both the prior and the way in which it is updated are subjective.

Suggested Citation

  • Larry Epstein, 2002. "An Axiomatic Model of Non-Bayesian Updating," RCER Working Papers 498, University of Rochester - Center for Economic Research (RCER), revised Jan 2005.
    • Handle: RePEc:roc:rocher:498
    Note: Revised January 2005
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    References listed on IDEAS

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    1. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 2009. "Temptation-Driven Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 937-971.
    2. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    3. Barberà, Salvador & Grodal, Birgit, 2011. "Preference for flexibility and the opportunities of choice," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 272-278.
    4. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    5. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    6. Paolo Ghirardato, 2002. "Revisiting Savage in a conditional world," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 83-92.
    7. Klaus Nehring, 1999. "Preference for Flexibility in a Savage Framework," Econometrica, Econometric Society, vol. 67(1), pages 101-120, January.
    8. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
    9. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    10. Ozdenoren, Emre, 2002. "Completing the State Space with Subjective States," Journal of Economic Theory, Elsevier, vol. 105(2), pages 531-539, August.
    11. Kopylov Igor, 2009. "Temptations in General Settings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-25, September.
    12. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, January.
    13. Geanakoplos, John, 1994. "Common knowledge," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 40, pages 1437-1496, Elsevier.
    14. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    15. Matthew Rabin & Joel L. Schrag, 1999. "First Impressions Matter: A Model of Confirmatory Bias," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 37-82.
    16. Alon Brav & J.B. Heaton, 2002. "Competing Theories of Financial Anomalies," The Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 575-606, March.
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    More about this item

    Keywords

    Bayes' Rule; non-Bayesian updating; asset price volatility; no-trade theorems; agreeing to bet; common knowledge; temptation; self-control; conservatism; representativeness; overconfidence;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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