IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/43974.html
   My bibliography  Save this paper

Experimental Evidence on Valuation and Learning with Multiple Priors

Author

Listed:
  • Qiu, Jianying
  • Weitzel, Utz

Abstract

Popular models for decision making under ambiguity assume that people use not one but multiple priors. This paper is a first attempt to experimentally elicit multiple priors. In an ambiguous scenario with two underlying states we measure a subject’s single prior, her other potential priors (multiple priors), her confidence in these priors valuation of an ambiguous asset with the same underlying states. We also investigate subjects' updating of (multiple) priors after receiving signals about the true states. We find that single priors are best understood as a confidence-weighted average of multiple priors. Single priors also predict the valuation of ambiguous assets best, while both the minimum and maximum of subjects' multiple priors add explanatory power. This provides some but no exclusive support for the maxmin (Gilboa and Schmeidler, 1989) and the alpha maxmin model (Ghirardato et al., 2004). With regard to updating of priors, we do not observe strong deviations from Bayesian learning, although subjects overadjust/underadjust their priors and their confidence in multiple priors after a contradictory/confirming signal. Subjects also react to neutral information with more confidence in their priors. This holds under ambiguity, but not in a comparison treatment under risk.

Suggested Citation

  • Qiu, Jianying & Weitzel, Utz, 2013. "Experimental Evidence on Valuation and Learning with Multiple Priors," MPRA Paper 43974, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:43974
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/43974/1/MPRA_paper_43974.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
    2. Mark Schneider & Jonathan W. Leland & Nathaniel T. Wilcox, 2018. "Ambiguity framed," Journal of Risk and Uncertainty, Springer, vol. 57(2), pages 133-151, October.
      • Mark Schneider & Jonathan Leland & Nathaniel T. Wilcox, 2016. "Ambiguity Framed," Working Papers 16-11, Chapman University, Economic Science Institute.
    3. Jianying Qiu & Eva-Maria Steiger, 2011. "Understanding the Two Components of Risk Attitudes: An Experimental Analysis," Management Science, INFORMS, vol. 57(1), pages 193-199, January.
    4. Robert F. Nau, 2006. "Uncertainty Aversion with Second-Order Utilities and Probabilities," Management Science, INFORMS, vol. 52(1), pages 136-145, January.
    5. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    6. John D. Hey & Gianna Lotito & Anna Maffioletti, 2018. "The descriptive and predictive adequacy of theories of decision making under uncertainty/ambiguity," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 8, pages 189-219, World Scientific Publishing Co. Pte. Ltd..
    7. Massimo Guidolin & Francesca Rinaldi, 2009. "A simple model of trading and pricing risky assets under ambiguity: any lessons for policy-makers?," Working Papers 2009-020, Federal Reserve Bank of St. Louis.
    8. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, September.
    9. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    10. 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.
    11. Bryan Routledge & Stanley Zin, 2009. "Model Uncertainty and Liquidity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(4), pages 543-566, October.
    12. Epstein Larry G & Noor Jawwad & Sandroni Alvaro, 2010. "Non-Bayesian Learning," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-20, January.
    13. repec:lmu:muenar:20868 is not listed on IDEAS
    14. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    15. Philipp Karl Illeditsch, 2011. "Ambiguous Information, Portfolio Inertia, and Excess Volatility," Journal of Finance, American Finance Association, vol. 66(6), pages 2213-2247, December.
    16. Stefan T. Trautmann & Gijs Kuilen, 2015. "Belief Elicitation: A Horse Race among Truth Serums," Economic Journal, Royal Economic Society, vol. 125(589), pages 2116-2135, December.
    17. Theo Offerman & Joep Sonnemans & Gijs Van De Kuilen & Peter P. Wakker, 2009. "A Truth Serum for Non-Bayesians: Correcting Proper Scoring Rules for Risk Attitudes ," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1461-1489.
    18. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    19. Peter Bossaerts & Paolo Ghirardato & Serena Guarnaschelli & William R. Zame, 2010. "Ambiguity in Asset Markets: Theory and Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1325-1359, April.
    20. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    21. Massimo Marinacci, 2002. "Learning from ambiguous urns," Statistical Papers, Springer, vol. 43(1), pages 143-151, January.
    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. Füllbrunn, Sascha & Rau, Holger A. & Weitzel, Utz, 2014. "Does ambiguity aversion survive in experimental asset markets?," Journal of Economic Behavior & Organization, Elsevier, vol. 107(PB), pages 810-826.
    2. Füllbrunn, Sascha & Rau, Holger & Weitzel, Utz, 2013. "Do ambiguity effects survive in experimental asset markets?," MPRA Paper 44700, University Library of Munich, Germany.
    3. Jianying Qiu & Utz Weitzel, 2016. "Experimental evidence on valuation with multiple priors," Journal of Risk and Uncertainty, Springer, vol. 53(1), pages 55-74, August.
    4. James R. Bland & Yaroslav Rosokha, 2021. "Learning under uncertainty with multiple priors: experimental investigation," Journal of Risk and Uncertainty, Springer, vol. 62(2), pages 157-176, April.

    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. Füllbrunn, Sascha & Rau, Holger & Weitzel, Utz, 2013. "Do ambiguity effects survive in experimental asset markets?," MPRA Paper 44700, University Library of Munich, Germany.
    2. Füllbrunn, Sascha & Rau, Holger A. & Weitzel, Utz, 2014. "Does ambiguity aversion survive in experimental asset markets?," Journal of Economic Behavior & Organization, Elsevier, vol. 107(PB), pages 810-826.
    3. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    4. Agarwal, Vikas & Arisoy, Y. Eser & Naik, Narayan Y., 2017. "Volatility of aggregate volatility and hedge fund returns," Journal of Financial Economics, Elsevier, vol. 125(3), pages 491-510.
    5. Qi Nan Zhai, 2015. "Asset Pricing Under Ambiguity and Heterogeneity," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2015.
    6. Jewitt, Ian & Mukerji, Sujoy, 2017. "Ordering ambiguous acts," Journal of Economic Theory, Elsevier, vol. 171(C), pages 213-267.
    7. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2013. "Ambiguity and robust statistics," Journal of Economic Theory, Elsevier, vol. 148(3), pages 974-1049.
      • Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2011. "Ambiguity and Robust Statistics," Working Papers 382, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    8. Berger, Loic & Bosetti, Valentina, 2016. "Ellsberg Re-revisited: An Experiment Disentangling Model Uncertainty and Risk Aversion," MITP: Mitigation, Innovation and Transformation Pathways 236239, Fondazione Eni Enrico Mattei (FEEM).
    9. Miao, Jianjun & Wang, Neng, 2011. "Risk, uncertainty, and option exercise," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 442-461, April.
    10. Loic Berger & Valentina Bosetti, 2016. "Ellsberg Re-revisited: An Experiment Disentangling Model Uncertainty and Risk Aversion," Working Papers 2016.37, Fondazione Eni Enrico Mattei.
    11. Hackbarth, Dirk & Miao, Jianjun, 2012. "The dynamics of mergers and acquisitions in oligopolistic industries," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 585-609.
    12. Daniele Pennesi, 2013. "Asset Prices in an Ambiguous Economy," Carlo Alberto Notebooks 315, Collegio Carlo Alberto.
    13. Martin Schneider, 2010. "The Research Agenda: Martin Schneider on Multiple Priors Preferences and Financial Markets," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 11(2), April.
    14. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    15. Jianying Qiu & Utz Weitzel, 2016. "Experimental evidence on valuation with multiple priors," Journal of Risk and Uncertainty, Springer, vol. 53(1), pages 55-74, August.
    16. 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.
    17. Aliyev, Nihad & He, Xue-Zhong, 2023. "Ambiguous price formation," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    18. Zhou, Tong, 2021. "Ambiguity, asset illiquidity, and price variability," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 280-292.
    19. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    20. Izhakian, Yehuda, 2020. "A theoretical foundation of ambiguity measurement," Journal of Economic Theory, Elsevier, vol. 187(C).

    More about this item

    Keywords

    ambiguity; uncertainty; risk; multiple priors; Bayesian updating; first-order beliefs; second-order beliefs;
    All these keywords.

    JEL classification:

    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:pra:mprapa:43974. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.