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Extreme events and entropy: A multiple quantile utility model

Author

Listed:
  • Marcello Basili

    (DEPFID)

  • Alain Chateauneuf

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper introduces a multiple quantile utility model of Cumulative Prospect Theory in an ambiguous setting. We show a representation theorem in which a prospect is valued by a composite value function. The composite value function is able to represent asymmetric attitude on extreme events and a rational prudence on ordinary events.

Suggested Citation

  • Marcello Basili & Alain Chateauneuf, 2011. "Extreme events and entropy: A multiple quantile utility model," PSE-Ecole d'économie de Paris (Postprint) hal-00685405, HAL.
    • Handle: RePEc:hal:pseptp:hal-00685405
    DOI: 10.1016/j.ijar.2011.05.005
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    Cited by:

    1. Marcello Basili & Alain Chateauneuf, 2013. "Aggregation of coherent experts opinion: a tractable extreme-outcomes consistent rule," Department of Economics University of Siena 676, Department of Economics, University of Siena.
    2. Alexander Zimper, 2012. "The emergence of “fifty-fifty” probability judgements in a conditional Savage world," Working Papers 291, Economic Research Southern Africa.
    3. Marcello Basili & Silvia Ferrini & Emanuele Montomoli, 2012. "Swine influenza and vaccines: an alternative approach for decision making about pandemic prevention," Department of Economics University of Siena 647, Department of Economics, University of Siena.
    4. Helena Gaspars-Wieloch, 2015. "On a decision rule supported by a forecasting stage based on the decision maker’s coefficient of optimism," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 579-594, September.
    5. Marcello Basili, 2013. "Ellsberg Rules and Keynes’s State of Long-Term Expectation: More Than an Accordance," Department of Economics University of Siena 685, Department of Economics, University of Siena.
    6. Helena Gaspars-Wieloch, 2017. "Newsvendor problem under complete uncertainty: a case of innovative products," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(3), pages 561-585, September.
    7. Marcello Basili & Carlo Zappia, 2018. "Ellsberg’s Decision Rules and Keynes’s Long-Term Expectations," Department of Economics University of Siena 777, Department of Economics, University of Siena.
    8. Marcello Basili & Antonio Nicita, 2020. "The Covid-19/SARS CoV-2 pandemic outbreak and the risk of institutional failures," Department of Economics University of Siena 823, Department of Economics, University of Siena.
    9. Marcello Basili & Federico Crudu, 2021. "Aggregation of Experts Opinions and the Assessment of Tipping Points. Catastrophic Forecasts for Higher Temperature Changes," Department of Economics University of Siena 868, Department of Economics, University of Siena.
    10. Helena Gaspars-Wieloch, 2019. "Project Net Present Value estimation under uncertainty," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 179-197, March.
    11. Marcello Basili & Luca Pratelli, 2013. "Aggregation of not necessarily independent opinions," Department of Economics University of Siena 677, Department of Economics, University of Siena.

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