Choquet utility depending on the state of nature

Utilité à la Choquet dépendante de l'état de la nature

Issouf Abdou (), Philibert Andriamanantena (), Mamy Raoul Ravelomanana () and Rivo Rakotozafy ()
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Issouf Abdou: Université des Comores
Philibert Andriamanantena: Université de Fianarantsoa
Rivo Rakotozafy: Université de Fianarantsoa

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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.

Keywords: Choquet Integral; Utility; Subjective Preferences; Intégrale de Choquet; Utilité; Préférences Subjectives; Incertitude; Mesure floue; Uncertainty; Fuzzy measure (search for similar items in EconPapers)
Date: 2021-12-17
New Economics Papers: this item is included in nep-upt
Note: View the original document on HAL open archive server: https://hal.science/hal-02344256v3
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Published in Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2021, Volume 32 - 2019 - 2021, Volume 32 - 2019 - 2021, ⟨10.46298/arima.5898⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-02344256

DOI: 10.46298/arima.5898

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