Unambiguous events and dynamic Choquet preferences

This paper explores the relationship between dynamic consistency and existing notions of unambiguous events for Choquet expected utility preferences. A decision maker is faced with an information structure represented by a filtration. We show that the decision maker’s preferences respect dynamic con...

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Hauptverfasser: Dominiak, Adam (VerfasserIn) , Lefort, Jean-Philippe (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2011
In: Economic theory
Year: 2011, Jahrgang: 46, Heft: 3, Pages: 401-425
ISSN:1432-0479
DOI:10.1007/s00199-009-0512-7
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00199-009-0512-7
Verlag, lizenzpflichtig, Volltext: https://link.springer.com/article/10.1007/s00199-009-0512-7
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Verfasserangaben:Adam Dominiak, Jean-Philippe Lefort

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520 |a This paper explores the relationship between dynamic consistency and existing notions of unambiguous events for Choquet expected utility preferences. A decision maker is faced with an information structure represented by a filtration. We show that the decision maker’s preferences respect dynamic consistency on a fixed filtration if and only if the last stage of the filtration is composed of unambiguous events in the sense of Nehring (Math Social Sci 38:197-213, 1999). Adopting two axioms, conditional certainty equivalence consistency and constrained dynamic consistency to filtration measurable acts, it is shown that the decision maker respects these two axioms on a fixed filtration if and only if the last stage of the filtration is made up of unambiguous events in the sense of Zhang (Econ Theory 20:159-181, 2002). 
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