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Choquet utility depending on the state of nature
[Utilité à la Choquet dépendante de l'état de la nature]

Author

Listed:
  • Issouf Abdou

    (Université des Comores)

  • Philibert Andriamanantena

    (Université de Fianarantsoa)

  • Mamy Raoul Ravelomanana
  • Rivo Rakotozafy

    (Université de Fianarantsoa)

Abstract

This article, which is part of the general framework of mathematics applied to economics, is a decision-making model in total ignorance. Such an environment is characterized by the absence of a law of distribution of the states of nature allowing having good forecasts or anticipations. Based primarily on the integral of Choquet, this model allows aggregating the different states of nature in order to make a better decision. This integral of Choquet imposes itself with respect to the complexity of the environment and also by its relevance of aggregation of the interactive or conflicting criteria. The present model is a combination of the Schmeidler model and the Brice Mayag algorithm for the determination of Choquet 2-additive capacity. It fits into the framework of subjective models and provides an appropriate response to the Ellsberg paradox.

Suggested Citation

  • Issouf Abdou & Philibert Andriamanantena & Mamy Raoul Ravelomanana & Rivo Rakotozafy, 2021. "Choquet utility depending on the state of nature [Utilité à la Choquet dépendante de l'état de la nature]," Post-Print hal-02344256, HAL.
    • Handle: RePEc:hal:journl:hal-02344256
    DOI: 10.46298/arima.5898
    Note: View the original document on HAL open archive server: https://hal.science/hal-02344256v3
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    Keywords

    Choquet Integral; Utility; Subjective Preferences; Intégrale de Choquet; Utilité; Préférences Subjectives; Incertitude; Mesure floue; Uncertainty; Fuzzy measure;
    All these keywords.

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