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Parametric multi-attribute utility functions for optimal profit under risk constraints

Author

Listed:
  • Babacar Seck

    (CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique - ENPC - École des Ponts ParisTech)

  • Laetitia Andrieu

    (EDF R&D OSIRIS - Optimisation, Simulation, Risque et Statistiques pour les Marchés de l’Energie - EDF R&D - EDF R&D - EDF - EDF)

  • Michel de Lara

    (CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique - ENPC - École des Ponts ParisTech)

Abstract

We provide an economic interpretation of the practice consisting in incorporating risk measures as constraints in an expected prospect maximization problem. For what we call the infimum of expectations class of risk measures, we show that if the decision maker (DM) maximizes the expectation of a random prospect under constraint that the risk measure is bounded above, he then behaves as a generalized expected utility maximizer in the following sense. The DM exhibits ambiguity with respect to a family of utility functions defined on a larger set of decisions than the original one; he adopts pessimism and performs first a minimization of expected utility over this family, then performs a maximization over a new decisions set. This economic behaviour is called maxmin under risk and studied by Maccheroni (Econ Theory 19:823-831, 2002). As an application, we make the link between an expected prospect maximization problem, subject to conditional value-at-risk being less than a threshold value, and a non-expected utility economic formulation involving loss aversion -type utility functions.

Suggested Citation

  • Babacar Seck & Laetitia Andrieu & Michel de Lara, 2012. "Parametric multi-attribute utility functions for optimal profit under risk constraints," Post-Print hal-00654574, HAL.
    • Handle: RePEc:hal:journl:hal-00654574
    DOI: 10.1007/s11238-011-9255-6
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    Cited by:

    1. Babacar Seck & Robert J. Elliott, 2021. "Regime Switching Entropic Risk Measures on Crude Oil Pricing," Papers 2112.13041, arXiv.org.

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