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A note on "Re-examining the law of iterated expectations for Choquet decision makers"

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  • Andre Lapied
  • Pascal Toquebeuf

Abstract

This note completes the main result of Zimper (Theory and decision, doi: 10.1007/s11238-010-9221-8 , 2010 ), by showing that additional conditions are needed in order the law of iterated expectations to hold true for Choquet decision makers. Due to the comonotonic additivity of Choquet expectations, the equation E[f, ν(dω)]=E[E[f(ω i, j ), ν(A i, j \textbarA i )], ν(A i )], is valid only when the act f is comonotonic with its dynamic form, that we name “conditional certainty equivalent act”. Copyright Springer Science+Business Media New York 2013
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Andre Lapied & Pascal Toquebeuf, 2012. "A note on "Re-examining the law of iterated expectations for Choquet decision makers"," TEPP Working Paper 2012-09, TEPP.
  • Handle: RePEc:tep:teppwp:wp12-09
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    File URL: http://www.tepp-repec.eu/RePEc/files/teppwp/TEPP-WP-12-09-AL-PT.pdf
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    References listed on IDEAS

    as
    1. Yoo, Keuk-Ryoul, 1991. "The iterative law of expectation and non-additive probability measure," Economics Letters, Elsevier, vol. 37(2), pages 145-149, October.
    2. André Lapied & Pascal Toquebeuf, 2010. "Atemporal non-expected utility preferences, dynamic consistency and consequentialism," Economics Bulletin, AccessEcon, vol. 30(2), pages 1661-1669.
    3. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    4. Sarin, Rakesh & Wakker, Peter P, 1998. "Revealed Likelihood and Knightian Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 16(3), pages 223-250, July-Aug..
    5. Alexander Zimper, 2011. "Re-examining the law of iterated expectations for Choquet decision makers," Theory and Decision, Springer, vol. 71(4), pages 669-677, October.
    6. Nobuo Koida, 2012. "Nest-monotonic two-stage acts and exponential probability capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 99-124, May.
    7. Alain Chateauneuf & Robert Kast & André Lapied, 2001. "Conditioning Capacities and Choquet Integrals: The Role of Comonotony," Theory and Decision, Springer, vol. 51(2), pages 367-386, December.
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    Cited by:

    1. repec:kap:theord:v:83:y:2017:i:4:d:10.1007_s11238-017-9632-x is not listed on IDEAS
    2. André Lapied & Pascal Toquebeuf, 2011. "Dynamically consistent CEU preferences," Working Papers halshs-00856193, HAL.

    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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