[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/a/the/publsh/2851.html
   My bibliography  Save this article

Preferences for partial information and ambiguity

Author

Listed:
  • Li, Jian

    (Department of Economics, Iowa State University)

Abstract
We commonly think of information as an instrument for better decisions, yet evidence suggests that people often decline free information in non-strategic scenarios. This paper provides a theory for how a dynamically-consistent decision maker can be averse to partial information as a consequence of ambiguity aversion. It introduces a class of recursive preferences on an extended choice domain, which allows the preferences to depend on how information is dynamically revealed and to depart from the standard expected-utility theory. A new notion of ambiguity aversion, called Event Complementarity, exactly characterizes aversion to partial information. Familiar static ambiguity-averse preferences are embedded into the general recursive model, in which conditions for partial information aversion are identified. The findings suggest that Event Complementarity overlaps with yet still differs from the conventional notion of ambiguity aversion.

Suggested Citation

  • Li, Jian, 2020. "Preferences for partial information and ambiguity," Theoretical Economics, Econometric Society, vol. 15(3), July.
  • Handle: RePEc:the:publsh:2851
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20201059/27653/801
    Download Restriction: no
    ---><---

    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. Dillenberger, David, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," MPRA Paper 8342, University Library of Munich, Germany.
    3. Bellemare, Charles & Krause, Michaela & Kroger, Sabine & Zhang, Chendi, 2005. "Myopic loss aversion: Information feedback vs. investment flexibility," Economics Letters, Elsevier, vol. 87(3), pages 319-324, June.
    4. Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Econometrica, Econometric Society, vol. 79(1), pages 47-73, January.
    5. David Dillenberger, 2010. "Preferences for One‐Shot Resolution of Uncertainty and Allais‐Type Behavior," Econometrica, Econometric Society, vol. 78(6), pages 1973-2004, November.
    6. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    7. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    8. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
    9. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    10. , & ,, 2007. "Updating preferences with multiple priors," Theoretical Economics, Econometric Society, vol. 2(3), September.
    11. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1998. "Intrinsic Preference for Information," Journal of Economic Theory, Elsevier, vol. 83(2), pages 233-259, December.
    12. Koszegi, Botond, 2003. "Health anxiety and patient behavior," Journal of Health Economics, Elsevier, vol. 22(6), pages 1073-1084, November.
    13. Andrew Caplin & John Leahy, 2001. "Psychological Expected Utility Theory and Anticipatory Feelings," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 55-79.
    14. Machina, Mark J, 1989. "Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1622-1668, December.
    15. 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.
    16. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    17. Costis Skiadas, 1998. "Recursive utility and preferences for information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 293-312.
    18. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    19. Tomasz Strzalecki, 2013. "Temporal Resolution of Uncertainty and Recursive Models of Ambiguity Aversion," Econometrica, Econometric Society, vol. 81(3), pages 1039-1074, May.
    20. Cesaltina Pacheco Pires, 2002. "A Rule For Updating Ambiguous Beliefs," Theory and Decision, Springer, vol. 53(2), pages 137-152, September.
    21. repec:bla:jfinan:v:58:y:2003:i:2:p:821-838 is not listed on IDEAS
    22. ,, 2011. "Dynamic choice under ambiguity," Theoretical Economics, Econometric Society, vol. 6(3), September.
    23. Uri Gneezy & Arie Kapteyn & Jan Potters, 2003. "Evaluation Periods and Asset Prices in a Market Experiment," Journal of Finance, American Finance Association, vol. 58(2), pages 821-837, April.
    24. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    25. repec:dgr:kubcen:200432 is not listed on IDEAS
    26. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, September.
    27. Palacios-Huerta, Ignacio, 1999. "The Aversion to the Sequential Resolution of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 18(3), pages 249-269, October.
    28. 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.
    29. 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.
    30. Gneezy, U. & Kapteyn, A. & Potters, J.J.M., 2003. "Evaluation periods and asset prices in a market experience," Other publications TiSEM 55910884-79d7-483c-abbb-1, Tilburg University, School of Economics and Management.
    31. Epstein, Larry G & Zhang, Jiankang, 2001. "Subjective Probabilities on Subjectively Unambiguous Events," Econometrica, Econometric Society, vol. 69(2), pages 265-306, March.
    32. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    33. Hanany Eran & Klibanoff Peter, 2009. "Updating Ambiguity Averse Preferences," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-53, November.
    34. Yoram Halevy, 2007. "Ellsberg Revisited: An Experimental Study," Econometrica, Econometric Society, vol. 75(2), pages 503-536, March.
    35. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    36. Eliaz, Kfir & Spiegler, Ran, 2006. "Can anticipatory feelings explain anomalous choices of information sources?," Games and Economic Behavior, Elsevier, vol. 56(1), pages 87-104, July.
    37. David S. Ahn & Haluk Ergin, 2010. "Framing Contingencies," Econometrica, Econometric Society, vol. 78(2), pages 655-695, March.
    38. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    39. Botond Koszegi & Matthew Rabin, 2009. "Reference-Dependent Consumption Plans," American Economic Review, American Economic Association, vol. 99(3), pages 909-936, June.
    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. 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.
    2. Cheng, Xiaoyu, 2022. "Relative Maximum Likelihood updating of ambiguous beliefs," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    3. Kops, Christopher & Pasichnichenko, Illia, 2023. "Testing negative value of information and ambiguity aversion," Journal of Economic Theory, Elsevier, vol. 213(C).
    4. Anastasia Burkovskaya, 2022. "A model of state aggregation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 121-149, February.
    5. 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.
    6. Kellner, Christian & Thordal-Le Quement, Mark & Riener, Gerhard, 2020. "Reacting to ambiguous messages: An experimental analysis," DICE Discussion Papers 357, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    7. Giulio Principi & Peter P. Wakker & Ruodu Wang, 2023. "Anticomonotonicity for Preference Axioms: The Natural Counterpart to Comonotonicity," Papers 2307.08542, arXiv.org, revised Dec 2024.
    8. Kellner, Christian & Le Quement, Mark T. & Riener, Gerhard, 2022. "Reacting to ambiguous messages: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 136(C), pages 360-378.
    9. Aljoscha Minnich & Hauke Roggenkamp & Andreas Lange, 2023. "Ambiguity Attitudes and Surprises: Experimental Evidence on Communicating New Information within a Large Population Sample," CESifo Working Paper Series 10783, CESifo.
    10. Pahlke, Marieke, 2022. "Dynamic Consistency and Ambiguous Communication," VfS Annual Conference 2022 (Basel): Big Data in Economics 264027, Verein für Socialpolitik / German Economic Association.

    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. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    2. Evren, Özgür, 2019. "Recursive non-expected utility: Connecting ambiguity attitudes to risk preferences and the level of ambiguity," Games and Economic Behavior, Elsevier, vol. 114(C), pages 285-307.
    3. Georgalos, Konstantinos, 2021. "Dynamic decision making under ambiguity: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 127(C), pages 28-46.
    4. 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.
    5. Han Bleichrodt & Jurgen Eichberger & Simon Grant & David Kelsey & Chen Li, 2018. "A Test of Dynamic Consistency and Consequentialism in the Presence of Ambiguity," Discussion Papers 1803, University of Exeter, Department of Economics.
    6. Gumen, Anna & Savochkin, Andrei, 2013. "Dynamically stable preferences," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1487-1508.
    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. Bleichrodt, Han & Eichberger, Jürgen & Grant, Simon & Kelsey, David & Li, Chen, 2021. "Testing dynamic consistency and consequentialism under ambiguity," European Economic Review, Elsevier, vol. 134(C).
    9. Alexander Zimper, 2011. "Do Bayesians Learn Their Way Out of Ambiguity?," Decision Analysis, INFORMS, vol. 8(4), pages 269-285, December.
    10. 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.
    11. Massimo Marinacci, 2015. "Model Uncertainty," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1022-1100, December.
    12. Hui Chen & Nengjiu Ju & Jianjun Miao, 2014. "Dynamic Asset Allocation with Ambiguous Return Predictability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 799-823, October.
    13. Yoram Halevy & Emre Ozdenoren, 2022. "Uncertainty and compound lotteries: calibration," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 373-395, September.
    14. Nengjiu Ju & Jianjun Miao, 2012. "Ambiguity, Learning, and Asset Returns," Econometrica, Econometric Society, vol. 80(2), pages 559-591, March.
    15. Florian Zimmermann, 2015. "Clumped or Piecewise? Evidence on Preferences for Information," Management Science, INFORMS, vol. 61(4), pages 740-753, April.
    16. Dillenberger, David & Segal, Uzi, 2017. "Skewed noise," Journal of Economic Theory, Elsevier, vol. 169(C), pages 344-364.
    17. 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.
    18. Hill, Brian, 2020. "Dynamic consistency and ambiguity: A reappraisal," Games and Economic Behavior, Elsevier, vol. 120(C), pages 289-310.
    19. Li, Jian & Zhou, Junjie, 2016. "Blackwell's informativeness ranking with uncertainty-averse preferences," Games and Economic Behavior, Elsevier, vol. 96(C), pages 18-29.
    20. 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.

    More about this item

    Keywords

    Information avoidance; ambiguity aversion; recursive preferences;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

    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:the:publsh:2851. 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: Martin J. Osborne (email available below). General contact details of provider: http://econtheory.org .

    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.