IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v102y2022ics030440682200088x.html
   My bibliography  Save this article

Objective rationality and recursive multiple priors

Author

Listed:
  • Ceron, Federica
  • Vergopoulos, Vassili

Abstract

We provide an axiomatic characterization of recursive MaxMin preferences that stem from a (possibly) incomplete relation representing preference judgements that are justified by objective probabilistic information. To ensure that her choice behavior be informed by objective information, dynamically consistent, and ambiguity averse, the decision-maker evaluates alternatives by their minimal expected value over the rectangular hull of the objective information set. The characterization builds upon two axioms that naturally combine the three requirements in a behavioral way. Our main result suggests a principled justification for the use of recursive MaxMin preferences in applications to dynamic choice problems.

Suggested Citation

  • Ceron, Federica & Vergopoulos, Vassili, 2022. "Objective rationality and recursive multiple priors," Journal of Mathematical Economics, Elsevier, vol. 102(C).
  • Handle: RePEc:eee:mateco:v:102:y:2022:i:c:s030440682200088x
    DOI: 10.1016/j.jmateco.2022.102761
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030440682200088X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2022.102761?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Loïc Berger & Massimo Marinacci, 2020. "Model Uncertainty in Climate Change Economics: A Review and Proposed Framework for Future Research," Working Papers hal-02914088, HAL.
    2. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    3. Simone Cerreia-Vioglio & Alfio Giarlotta & Salvatore Greco & Fabio Maccheroni & Massimo Marinacci, 2020. "Rational preference and rationalizable choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 61-105, February.
    4. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    5. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011. "Uncertainty averse preferences," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
    6. Faro, José Heleno & Lefort, Jean-Philippe, 2019. "Dynamic objective and subjective rationality," Theoretical Economics, Econometric Society, vol. 14(1), January.
    7. Riedel, Frank & Tallon, Jean-Marc & Vergopoulos, Vassili, 2018. "Dynamically consistent preferences under imprecise probabilistic information," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 117-124.
    8. Gajdos, T. & Hayashi, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Attitude toward imprecise information," Journal of Economic Theory, Elsevier, vol. 140(1), pages 27-65, May.
    9. Maccheroni, Fabio & Marinacci, Massimo & Rustichini, Aldo, 2006. "Dynamic variational preferences," Journal of Economic Theory, Elsevier, vol. 128(1), pages 4-44, May.
    10. Chateauneuf, Alain & Faro, José Heleno, 2009. "Ambiguity through confidence functions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 535-558, September.
    11. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    12. Loïc Berger & Massimo Marinacci, 2020. "Model Uncertainty in Climate Change Economics: A Review and Proposed Framework for Future Research," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 77(3), pages 475-501, November.
    13. Brian Hill, 2020. "Dynamic consistency and ambiguity: A reappraisal," Post-Print hal-02457455, HAL.
    14. Riedel, Frank, 2004. "Dynamic coherent risk measures," Stochastic Processes and their Applications, Elsevier, vol. 112(2), pages 185-200, August.
    15. Itzhak Gilboa & Fabio Maccheroni & Massimo Marinacci & David Schmeidler, 2010. "Objective and Subjective Rationality in a Multiple Prior Model," Econometrica, Econometric Society, vol. 78(2), pages 755-770, March.
    16. ,, 2016. "Objective rationality and uncertainty averse preferences," Theoretical Economics, Econometric Society, vol. 11(2), May.
    17. Epstein Larry G. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October.
    18. Lorenzo Bastianello & José Heleno Faro & Ana Santos, 2022. "Dynamically consistent objective and subjective rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 477-504, September.
    19. Faro, José Heleno, 2015. "Variational Bewley preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 699-729.
    20. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    21. Loic BERGER & Nicolas BERGER & Valentina BOSETTI & Itzhak GILBOA & Lars Peter HANSEN & Christopher JARVIS & Massimo MARINACCI & Richard D. Smith, 2020. "Rational policymaking during a pandemic," Working Papers 2020-iRisk-01, IESEG School of Management.
    22. Danan, Eric, 2008. "Revealed preference and indifferent selection," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 24-37, January.
    23. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    24. Johanna Etner & Meglena Jeleva & Jean-Marc Tallon, 2009. "Decision theory under uncertainty," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00429573, HAL.
    25. Al-Najjar, Nabil I. & Weinstein, Jonathan, 2009. "Rejoinder: The €Œambiguity Aversion Literature: A Critical Assessmentâ€," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 357-369, November.
    26. Sarin, Rakesh & Wakker, Peter P, 1998. "Dynamic Choice and NonExpected Utility," Journal of Risk and Uncertainty, Springer, vol. 17(2), pages 87-119, November.
    27. Nehring, Klaus, 2009. "Imprecise probabilistic beliefs as a context for decision-making under ambiguity," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1054-1091, May.
    28. repec:spr:thdchp:978-3-540-68437-4_1 is not listed on IDEAS
    29. Loic BERGER & Nicolas BERGER & Valentina BOSETTI & Itzhak GILBOA & Lars Peter HANSEN & Christopher JARVIS & Massimo MARINACCI & Richard D. Smith, 2020. "Rational policymaking during a pandemic," Working Papers 2020-iRisk-02, IESEG School of Management.
    30. Al-Najjar, Nabil I. & Weinstein, Jonathan, 2009. "The Ambiguity Aversion Literature: A Critical Assessment," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 249-284, November.
    31. Paul A. Samuelson, 1937. "A Note on Measurement of Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 155-161.
    32. Hill, Brian, 2020. "Dynamic consistency and ambiguity: A reappraisal," Games and Economic Behavior, Elsevier, vol. 120(C), pages 289-310.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Federica Ceron & Vassili Vergopoulos, 2020. "Recursive objective and subjective multiple priors," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02563318, HAL.
    2. Federica Ceron & Vassili Vergopoulos, 2020. "Recursive objective and subjective multiple priors," Post-Print halshs-02900497, HAL.
    3. Federica Ceron & Vassili Vergopoulos, 2020. "Recursive objective and subjective multiple priors," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02900497, HAL.
    4. Federica Ceron & Vassili Vergopoulos, 2020. "Recursive objective and subjective multiple priors," Documents de travail du Centre d'Economie de la Sorbonne 20008, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    5. Federica Ceron & Vassili Vergopoulos, 2020. "Recursive objective and subjective multiple priors," Working Papers halshs-02563318, HAL.
    6. Lorenzo Bastianello & José Heleno Faro & Ana Santos, 2022. "Dynamically consistent objective and subjective rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 477-504, September.
    7. Spyros Galanis, 2021. "Dynamic consistency, valuable information and subjective beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1467-1497, June.
    8. Faro, José Heleno & Lefort, Jean-Philippe, 2019. "Dynamic objective and subjective rationality," Theoretical Economics, Econometric Society, vol. 14(1), January.
    9. Tommi Ekholm & Erin Baker, 2022. "Multiple Beliefs, Dominance and Dynamic Consistency," Management Science, INFORMS, vol. 68(1), pages 529-540, January.
    10. Gumen, Anna & Savochkin, Andrei, 2013. "Dynamically stable preferences," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1487-1508.
    11. Hill, Brian, 2020. "Dynamic consistency and ambiguity: A reappraisal," Games and Economic Behavior, Elsevier, vol. 120(C), pages 289-310.
    12. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    13. Lorenzo Bastianello & Jos'e Heleno Faro & Ana Santos, 2020. "Dynamically Consistent Objective and Subjective Rationality," Papers 2004.12347, arXiv.org.
    14. José Heleno Faro & Ana Santos, 2023. "Updating variational (Bewley) preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 207-228, January.
    15. Frick, Mira & Iijima, Ryota & Le Yaouanq, Yves, 2022. "Objective rationality foundations for (dynamic) α-MEU," Journal of Economic Theory, Elsevier, vol. 200(C).
    16. Ellis, Andrew, 2018. "On dynamic consistency in ambiguous games," Games and Economic Behavior, Elsevier, vol. 111(C), pages 241-249.
    17. Georgalos, Konstantinos, 2021. "Dynamic decision making under ambiguity: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 127(C), pages 28-46.
    18. 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.
    19. Konstantinos Georgalos, 2019. "An experimental test of the predictive power of dynamic ambiguity models," Journal of Risk and Uncertainty, Springer, vol. 59(1), pages 51-83, August.
    20. Andrew J. Keith & Darryl K. Ahner, 2021. "A survey of decision making and optimization under uncertainty," Annals of Operations Research, Springer, vol. 300(2), pages 319-353, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:102:y:2022:i:c:s030440682200088x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.