IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v103y2022ics0304406822001136.html
   My bibliography  Save this article

Eliciting ambiguous beliefs using constructed ambiguous acts: Alpha-maxmin

Author

Listed:
  • Bose, Subir
  • Daripa, Arup

Abstract

We elicit subjective ambiguous beliefs of an agent with ambiguity-sensitive preferences; in particular, as represented by the α-maxmin model. An important problem with the model is that it cannot be identified using observations from typical choice problems, as the preference parameter α confounds observation of beliefs. Our main conceptual contribution is to show that the model can in fact be fully identified by using constructed ambiguous acts to elicit α.

Suggested Citation

  • Bose, Subir & Daripa, Arup, 2022. "Eliciting ambiguous beliefs using constructed ambiguous acts: Alpha-maxmin," Journal of Mathematical Economics, Elsevier, vol. 103(C).
  • Handle: RePEc:eee:mateco:v:103:y:2022:i:c:s0304406822001136
    DOI: 10.1016/j.jmateco.2022.102787
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406822001136
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2022.102787?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. Andrew Schotter & Isabel Trevino, 2014. "Belief Elicitation in the Laboratory," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 103-128, August.
    2. Edi Karni, 2009. "A Mechanism for Eliciting Probabilities," Econometrica, Econometric Society, vol. 77(2), pages 603-606, March.
    3. Chambers, Christopher P., 2008. "Proper scoring rules for general decision models," Games and Economic Behavior, Elsevier, vol. 63(1), pages 32-40, May.
    4. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    5. Peter Klibanoff & Sujoy Mukerji & Kyoungwon Seo, 2014. "Perceived Ambiguity and Relevant Measures," Econometrica, Econometric Society, vol. 82, pages 1945-1978, September.
    6. Siniscalchi, Marciano, 2006. "A behavioral characterization of plausible priors," Journal of Economic Theory, Elsevier, vol. 128(1), pages 91-135, May.
    7. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    8. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    9. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    10. Karl Schlag & James Tremewan & Joël Weele, 2015. "A penny for your thoughts: a survey of methods for eliciting beliefs," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 457-490, September.
    11. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    12. Kocher, Martin G. & Lahno, Amrei Marie & Trautmann, Stefan T., 2018. "Ambiguity aversion is not universal," European Economic Review, Elsevier, vol. 101(C), pages 268-283.
    13. Edi Karni, 2018. "A Mechanism for Eliciting Second-Order Beliefs and the Inclination to Choose," American Economic Journal: Microeconomics, American Economic Association, vol. 10(2), pages 275-285, May.
    14. Izhakian, Yehuda, 2020. "A theoretical foundation of ambiguity measurement," Journal of Economic Theory, Elsevier, vol. 187(C).
    15. Subir Bose & Arup Daripa, 2016. "Eliciting Ambiguous Beliefs Under alpha-Maxmin Preference," Birkbeck Working Papers in Economics and Finance 1601, Birkbeck, Department of Economics, Mathematics & Statistics.
    16. Gneiting, Tilmann & Raftery, Adrian E., 2007. "Strictly Proper Scoring Rules, Prediction, and Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 359-378, March.
    17. Mohammed Abdellaoui & Philippe Colo & Brian Hill, 2021. "Eliciting Multiple Prior Beliefs," Working Papers hal-03501733, HAL.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bose, Subir & Daripa, Arup, 2023. "Eliciting second-order beliefs," Journal of Mathematical Economics, Elsevier, vol. 107(C).

    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. Patrick Schmidt, 2019. "Eliciting ambiguity with mixing bets," Papers 1902.07447, arXiv.org, revised Jul 2022.
    2. Bose, Subir & Daripa, Arup, 2023. "Eliciting second-order beliefs," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    3. Frick, Mira & Iijima, Ryota & Le Yaouanq, Yves, 2019. "Boolean Representations of Preferences under Ambiguity," Rationality and Competition Discussion Paper Series 173, CRC TRR 190 Rationality and Competition.
    4. Hill, Brian, 2023. "Beyond uncertainty aversion," Games and Economic Behavior, Elsevier, vol. 141(C), pages 196-222.
    5. Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2019. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2180, Cowles Foundation for Research in Economics, Yale University.
    6. König-Kersting, Christian & Kops, Christopher & Trautmann, Stefan T., 2023. "A test of (weak) certainty independence," Journal of Economic Theory, Elsevier, vol. 209(C).
    7. Brian Hill, 2023. "Beyond Uncertainty Aversion," Post-Print hal-02428398, HAL.
    8. Jewitt, Ian & Mukerji, Sujoy, 2017. "Ordering ambiguous acts," Journal of Economic Theory, Elsevier, vol. 171(C), pages 213-267.
    9. Amit Kothiyal & Vitalie Spinu & Peter Wakker, 2014. "An experimental test of prospect theory for predicting choice under ambiguity," Journal of Risk and Uncertainty, Springer, vol. 48(1), pages 1-17, February.
    10. Han Bleichrodt & Christophe Courbage & Béatrice Rey, 2019. "The value of a statistical life under changes in ambiguity," Journal of Risk and Uncertainty, Springer, vol. 58(1), pages 1-15, February.
    11. Kai Barron, 2021. "Belief updating: does the ‘good-news, bad-news’ asymmetry extend to purely financial domains?," Experimental Economics, Springer;Economic Science Association, vol. 24(1), pages 31-58, March.
    12. Klibanoff, Peter & Mukerji, Sujoy & Seo, Kyoungwon & Stanca, Lorenzo, 2022. "Foundations of ambiguity models under symmetry: α-MEU and smooth ambiguity," Journal of Economic Theory, Elsevier, vol. 199(C).
    13. Chen Li & Uyanga Turmunkh & Peter P. Wakker, 2019. "Trust as a decision under ambiguity," Experimental Economics, Springer;Economic Science Association, vol. 22(1), pages 51-75, March.
    14. Madhav Chandrasekher & Mira Frick & Ryota Iijima & Yves Le Yaouanq, 2022. "Dual‐Self Representations of Ambiguity Preferences," Econometrica, Econometric Society, vol. 90(3), pages 1029-1061, May.
    15. Peter Klibanoff & Sujoy Mukerji & Kyoungwon Seo & Lorenzo Staca, 2021. "Foundations of ambiguity models under symmetry: α-MEU and smooth ambiguity," Working Papers 922, Queen Mary University of London, School of Economics and Finance.
    16. Georgalos, Konstantinos, 2021. "Dynamic decision making under ambiguity: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 127(C), pages 28-46.
    17. Ilke AYDOGAN & Loïc BERGER & Vincent THEROUDE, 2023. "More Ambiguous or More Complex? An Investigation of Individual Preferences under Model Uncertainty," Working Papers 2023-iRisk-02, IESEG School of Management.
    18. Stefan Trautmann & Peter P. Wakker, 2018. "Making the Anscombe-Aumann approach to ambiguity suitable for descriptive applications," Journal of Risk and Uncertainty, Springer, vol. 56(1), pages 83-116, February.
    19. Filiz-Ozbay, Emel & Gulen, Huseyin & Masatlioglu, Yusufcan & Ozbay, Erkut Y., 2022. "Comparing ambiguous urns with different sizes," Journal of Economic Theory, Elsevier, vol. 199(C).
    20. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.

    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:103:y:2022:i:c:s0304406822001136. 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.