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Iterated Choquet expectations: A possibility result

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  • Dominiak, Adam

Abstract

Contrary to Yoo’s (1991) [Yoo, K.-R., 1991. The iterative law of expectation and non-additive probability measure. Economics Letters 37, 145–149] result, it is shown that the law of iterated expectations can be maintained in the class of Choquet expected utility preferences, even though beliefs are non-additive. Choquet integrals satisfy the law of iterated expectations on a fixed partition if and only if the unconditional capacity is additively separable among the events forming that partition, and the conditional capacity is derived by applying Bayes’ rule.

Suggested Citation

  • Dominiak, Adam, 2013. "Iterated Choquet expectations: A possibility result," Economics Letters, Elsevier, vol. 120(2), pages 155-159.
    • Handle: RePEc:eee:ecolet:v:120:y:2013:i:2:p:155-159
    DOI: 10.1016/j.econlet.2013.04.008
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    References listed on IDEAS

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    Cited by:

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    2. Marinacci Massimo & Principi Giulio & Stanca Lorenzo, 2023. "Recursive Preferences and Ambiguity Attitudes," Working papers 082, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    3. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Carlo Alberto Notebooks 695 JEL Classification: C, Collegio Carlo Alberto.
    4. Alex Stomper & Marie‐Louise Vierø, 2022. "Iterated expectations under rank‐dependent expected utility and implications for common valuation methods," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(2), pages 739-763, May.
    5. Dominiak, Adam & Lefort, Jean-Philippe, 2015. "“Agreeing to disagree” type results under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 119-129.
    6. Serena Doria, 2017. "On the disintegration property of coherent upper conditional prevision defined by the Choquet integral with respect to its associated Hausdorff outer measure," Annals of Operations Research, Springer, vol. 256(2), pages 253-269, September.
    7. Kishishita, Daiki, 2020. "(Not) delegating decisions to experts: The effect of uncertainty," Journal of Economic Theory, Elsevier, vol. 190(C).
    8. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Papers 2304.06830, arXiv.org, revised Jul 2024.

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