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

André Lapied and Pascal Toquebeuf
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André Lapied: GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique
Pascal Toquebeuf: GAEL - Laboratoire d'Economie Appliquée = Grenoble Applied Economics Laboratory - UPMF - Université Pierre Mendès France - Grenoble 2 - INRA - Institut National de la Recherche Agronomique

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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, nu(d omega)] = E[E[f(omega (i, j) ), nu(A (i, j) |A (i) )], nu(A (i) )], is valid only when the act f is comonotonic with its dynamic form, that we name "conditional certainty equivalent act".

Keywords: Choquet; Capacities; Updating; Law of iterated expectations (search for similar items in EconPapers)
Date: 2012-03-28
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Published in Theory and Decision, 2012, 74 (3), pp.439-445. ⟨10.1007/s11238-012-9297-4⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04476885

DOI: 10.1007/s11238-012-9297-4

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