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Choquet expected utility with affine capacities

Author

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  • Pascal Toquebeuf

    (GAEL - Laboratoire d'Economie Appliquée de Grenoble - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - INRA - Institut National de la Recherche Agronomique - CNRS - Centre National de la Recherche Scientifique - UGA [2016-2019] - Université Grenoble Alpes [2016-2019], UGA [2016-2019] - Université Grenoble Alpes [2016-2019])

Abstract

This paper studies decisions under ambiguity when attention is paid to extreme outcomes. In a purely subjective framework, we propose an axiomatic characterization of affine capacities, which are Choquet capacities consisting in an affine transformation of a subjective probability. Our main axiom restricts the well-known Savage's Sure-Thing Principle to a change in a common intermediate outcome. The representation result is then an affine combination of the expected utility of the valued act and its maximal and minimal utilities.

Suggested Citation

  • Pascal Toquebeuf, 2016. "Choquet expected utility with affine capacities," Post-Print halshs-01250975, HAL.
    • Handle: RePEc:hal:journl:halshs-01250975
    DOI: 10.1007/s11238-015-9529-5
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    References listed on IDEAS

    as
    1. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
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