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Eliciting ambiguous beliefs using constructed ambiguous acts: Alpha-maxmin

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  • 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
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    References listed on IDEAS

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    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.
    18. Abdellaoui, Mohammed & Colo, Philippe & Hill, Brian, 2021. "Eliciting Multiple Prior Beliefs," HEC Research Papers Series 1426, HEC Paris.
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    1. Bose, Subir & Daripa, Arup, 2023. "Eliciting second-order beliefs," Journal of Mathematical Economics, Elsevier, vol. 107(C).

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