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Time and No Lotteries: An Axiomatization of Maxmin Expected Utility

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  • Asen Kochov

Abstract

This paper axiomatizes an intertemporal version of the maxmin expected‐utility model. It employs two axioms specific to a dynamic setting. The first requires that smoothing consumption across states of the world is more beneficial to the individual than smoothing consumption across time. Such behavior is viewed as the intertemporal manifestation of ambiguity aversion. The second axiom extends Koopmans' notion of stationarity from deterministic to stochastic environments.

Suggested Citation

  • Asen Kochov, 2015. "Time and No Lotteries: An Axiomatization of Maxmin Expected Utility," Econometrica, Econometric Society, vol. 83, pages 239-262, January.
    • Handle: RePEc:wly:emetrp:v:83:y:2015:i::p:239-262
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    Cited by:

    1. Lorenzo Maria Stanca, 2023. "Recursive Preferences, Correlation Aversion, and the Temporal Resolution of Uncertainty," Papers 2304.04599, arXiv.org, revised Jul 2023.
    2. Bommier, Antoine & Kochov, Asen & Le Grand, François, 2019. "Ambiguity and endogenous discounting," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 48-62.
    3. Stanca Lorenzo, 2023. "Recursive preferences, correlation aversion, and the temporal resolution of uncertainty," Working papers 080, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    4. Christoph Bühren & Fabian Meier & Marco Pleßner, 2023. "Ambiguity aversion: bibliometric analysis and literature review of the last 60 years," Management Review Quarterly, Springer, vol. 73(2), pages 495-525, June.
    5. Asen Kochov & Yangwei Song, 2023. "Intertemporal Hedging and Trade in Repeated Games With Recursive Utility," Econometrica, Econometric Society, vol. 91(6), pages 2333-2369, November.
    6. Lorenzo Bastianello & Vassili Vergopoulos, 2024. "Discounted Subjective Expected Utility in Continuous Time," Papers 2403.15319, arXiv.org.
    7. Paolo Ghirardato & Daniele Pennesi, 2023. "Randomizing without randomness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1009-1037, May.
    8. Marinacci Massimo & Principi Giulio & Stanca Lorenzo, 2023. "Recursive Preferences and Ambiguity Attitudes," Working papers 082, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    9. Piermont, Evan & Takeoka, Norio & Teper, Roee, 2016. "Learning the Krepsian state: Exploration through consumption," Games and Economic Behavior, Elsevier, vol. 100(C), pages 69-94.
    10. Kochov, Asen, 2018. "A behavioral definition of unforeseen contingencies," Journal of Economic Theory, Elsevier, vol. 175(C), pages 265-290.
    11. Luciano Castro & Antonio F. Galvao, 2022. "Static and dynamic quantile preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 747-779, April.
    12. Lorenzo Bastianello & José Heleno Faro, 2023. "Choquet expected discounted utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1071-1098, May.
    13. Kochov, Asen, 2017. "A separation result for stationary preferences," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 123-126.
    14. Lorenzo Bastianello & Jos'e Heleno Faro, 2019. "Time discounting under uncertainty," Papers 1911.00370, arXiv.org, revised Mar 2020.
    15. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Carlo Alberto Notebooks 695 JEL Classification: C, Collegio Carlo Alberto.
    16. Lensman, Todd & Troshkin, Maxim, 2022. "Implications of uncertainty for optimal policies," Journal of Economic Theory, Elsevier, vol. 199(C).
    17. Craig S. Webb, 2024. "Dynamic preference foundations of expected exponentially-discounted utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(4), pages 921-940, June.
    18. Roee Teper, 2016. "Learning the Krepsian State: Exploration Through Consumption," Working Paper 5860, Department of Economics, University of Pittsburgh.
    19. Lorenzo Stanca, 2023. "Recursive Preferences, Correlation Aversion, and the Temporal Resolution of Uncertainty," Carlo Alberto Notebooks 693 JEL Classification: C, Collegio Carlo Alberto.
    20. Massimo Marinacci & Giulio Principi & Lorenzo Stanca, 2023. "Recursive Preferences and Ambiguity Attitudes," Papers 2304.06830, arXiv.org, revised Jul 2024.

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