[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v79y2018icp157-162.html
   My bibliography  Save this article

Belief consistency and invariant risk preferences

Author

Listed:
  • Dominiak, Adam
  • Tserenjigmid, Gerelt
Abstract
Karni and Vierø (2013) introduce a novel theory characterizing the evolution of decision makers’ beliefs in response to growing awareness of new conceivable contingencies. As awareness grows, the original subjective expected utility (SEU) preferences need to be reformulated. Under two key axioms linking the original and new preferences, Invariant Risk Preferences and Consistency, the authors derive representation theorems and updating rules for beliefs referred to as reverse Bayesianism. We prove that their Consistency axiom together with the SEU axioms implies Invariant Risk Preferences. In other words, we show that the theory of reverse Bayesianism can be behaviorally underpinned without directly imposing Invariant Risk Preferences.

Suggested Citation

  • Dominiak, Adam & Tserenjigmid, Gerelt, 2018. "Belief consistency and invariant risk preferences," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 157-162.
    • Handle: RePEc:eee:mateco:v:79:y:2018:i:c:p:157-162
    DOI: 10.1016/j.jmateco.2018.03.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406818300351
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2018.03.005?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. Machina Mark J. & Schmeidler David, 1995. "Bayes without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice," Journal of Economic Theory, Elsevier, vol. 67(1), pages 106-128, October.
    2. Wenjun Ma & Burkhard C. Schipper, 2017. "Does exposure to unawareness affect risk preferences? A preliminary result," Theory and Decision, Springer, vol. 83(2), pages 245-257, August.
    3. Anonymous, 2014. "Introduction to the Issue," Journal of Wine Economics, Cambridge University Press, vol. 9(1), pages 1-2, May.
    4. Burkhard Schipper, 2013. "Awareness-dependent subjective expected utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 725-753, August.
    5. Karni, Edi & Vierø, Marie-Louise, 2017. "Awareness of unawareness: A theory of decision making in the face of ignorance," Journal of Economic Theory, Elsevier, vol. 168(C), pages 301-328.
    6. Wenjun Ma & Burkhard C. Schipper, 2017. "Does exposure to unawareness affect risk preferences? A preliminary result," Theory and Decision, Springer, vol. 83(2), pages 245-257, August.
    7. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    8. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
    9. Edi Karni & Marie-Louise Vier?, 2013. ""Reverse Bayesianism": A Choice-Based Theory of Growing Awareness," American Economic Review, American Economic Association, vol. 103(7), pages 2790-2810, December.
    10. Burkhard Schipper, 2014. "Unawareness - A Gentle Introduction to both the Literature and the Special Issue," Working Papers 153, University of California, Davis, Department of Economics.
    11. Edi Karni & Marie-Louise Vierø, 2015. "Probabilistic sophistication and reverse Bayesianism," Journal of Risk and Uncertainty, Springer, vol. 50(3), pages 189-208, June.
    12. Anonymous, 2014. "Introduction to the Issue," Journal of Wine Economics, Cambridge University Press, vol. 9(2), pages 109-110, August.
    13. Burkhard Schipper, 2014. "Unawareness - A Gentle Introduction to both the Literature and the Special Issue," Working Papers 145, University of California, Davis, Department of Economics.
    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. Adam Dominiak & Ani Guerdjikova, 2021. "Pessimism and optimism towards new discoveries," Theory and Decision, Springer, vol. 90(3), pages 321-370, May.
    2. Vierø, Marie-Louise, 2021. "An intertemporal model of growing awareness," Journal of Economic Theory, Elsevier, vol. 197(C).
    3. Chakravarty, Surajeet & Kelsey, David & Teitelbaum, Joshua C., 2022. "Reverse Bayesianism and act independence," Journal of Economic Theory, Elsevier, vol. 203(C).
    4. Gaia Belardinelli & Burkhard C. Schipper, 2023. "Implicit Knowledge in Unawareness Structures," Working Papers 360, University of California, Davis, Department of Economics.
    5. Dominiak, Adam & Tserenjigmid, Gerelt, 2022. "Ambiguity under growing awareness," Journal of Economic Theory, Elsevier, vol. 199(C).
    6. Burkhard C. Schipper, 2024. "Predicting the Unpredictable under Subjective Expected Utility," Papers 2403.01421, arXiv.org.
    7. Araujo, Felipe A. & Piermont, Evan, 2023. "Unawareness and risk taking: The role of context," Journal of Economic Behavior & Organization, Elsevier, vol. 208(C), pages 61-79.

    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. Dominiak, Adam & Tserenjigmid, Gerelt, 2022. "Ambiguity under growing awareness," Journal of Economic Theory, Elsevier, vol. 199(C).
    2. Adam Dominiak & Ani Guerdjikova, 2021. "Pessimism and optimism towards new discoveries," Theory and Decision, Springer, vol. 90(3), pages 321-370, May.
    3. Grant Simon & Guerdjikova Ani & Quiggin John, 2021. "Ambiguity and Awareness: A Coherent Multiple Priors Model," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 21(2), pages 571-612, June.
    4. Wenjun Ma & Burkhard C. Schipper, 2017. "Does exposure to unawareness affect risk preferences? A preliminary result," Theory and Decision, Springer, vol. 83(2), pages 245-257, August.
    5. Becker, Christoph K. & Melkonyan, Tigran & Proto, Eugenio & Sofianos, Andis & Trautmann, Stefan T., 2020. "Reverse Bayesianism: Revising Beliefs in Light of Unforeseen Events," IZA Discussion Papers 13821, Institute of Labor Economics (IZA).
    6. Wenjun Ma & Burkhard C. Schipper, 2017. "Does exposure to unawareness affect risk preferences? A preliminary result," Theory and Decision, Springer, vol. 83(2), pages 245-257, August.
    7. Karni, Edi & Vierø, Marie-Louise, 2017. "Awareness of unawareness: A theory of decision making in the face of ignorance," Journal of Economic Theory, Elsevier, vol. 168(C), pages 301-328.
    8. Chakravarty, Surajeet & Kelsey, David & Teitelbaum, Joshua C., 2022. "Reverse Bayesianism and act independence," Journal of Economic Theory, Elsevier, vol. 203(C).
    9. Yasuo Sasaki, 2016. "An Equivalence Result on the Reduction of Games with Unawareness," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 1-27, September.
    10. Schipper, Burkhard C., 2021. "Discovery and equilibrium in games with unawareness," Journal of Economic Theory, Elsevier, vol. 198(C).
    11. Heifetz Aviad & Meier Martin & Schipper Burkhard C., 2021. "Prudent Rationalizability in Generalized Extensive-form Games with Unawareness," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 21(2), pages 525-556, June.
    12. Antoine Dubus, 2020. "Asymmetric awareness and heterogeneous agents," Rationality and Society, , vol. 32(4), pages 461-484, November.
    13. Kochov, Asen, 2018. "A behavioral definition of unforeseen contingencies," Journal of Economic Theory, Elsevier, vol. 175(C), pages 265-290.
    14. Fiorini, Luciana C. & Rodrigues-Neto, José A., 2017. "Self-consistency, consistency and cycles in non-partitional knowledge models," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 11-21.
    15. Liu, Chanjuan & Zhu, Enqiang, 2017. "Computational ability in games: Individual difference and dynamics," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 313-320.
    16. Burkhard Schipper, 2017. "Kuhn's Theorem for Extensive Games with Unawareness," Working Papers 176, University of California, Davis, Department of Economics.
    17. Yasuo Sasaki, 2017. "Generalized Nash equilibrium with stable belief hierarchies in static games with unawareness," Annals of Operations Research, Springer, vol. 256(2), pages 271-284, September.
    18. Chollete, Lorán & Jaffee, Dwight & Mamun, Khawaja A., 2022. "Policy suggestions from a simple framework with extreme outcomes," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 374-398.
    19. Burkhard Schipper, 2017. "Kuhn's Theorem for Extensive Games with Unawareness," Working Papers 204, University of California, Davis, Department of Economics.
    20. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo & Montrucchio, Luigi, 2012. "Probabilistic sophistication, second order stochastic dominance and uncertainty aversion," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 271-283.

    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:79:y:2018:i:c:p:157-162. 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.