IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/11411.html
   My bibliography  Save this paper

The value of useless information

Author

Listed:
  • Alaoui, Larbi

Abstract

There are a number of cases in which individuals do not expect to find out which outcome occurs. The standard von Neumann-Morgenstern Expected Utility model cannot be used in these cases, since it does not distinguish between lotteries for which the outcomes are observed by the agent and lotteries for which they are not. This paper provides an axiomatic model that makes this distinction. A representation theorem is then obtained. This framework admits preferences for observing the outcome, and preferences for remaining in doubt. Doubt-proneness and doubt-aversion are defined, and the relation between risk-aversion, caution and doubt-attitude is explored. The model builds on the standard vNM framework, but other frameworks can also be extended to allow for preferences for observing the outcomes and preferences for remaining in doubt. A methodology for this extension is also provided. This framework can accommodate behavioral patterns that are inconsistent with the vNM model, and which have let to significantly different models. In particular, this framework accommodates self-handicapping, in which an agent chooses to impair his own performance. It also admits a status-quo bias, even though it does not allow for framing effects. In a political economy setting, voters have incentive to remain ignorant even if information is costless.

Suggested Citation

  • Alaoui, Larbi, 2008. "The value of useless information," MPRA Paper 11411, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:11411
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/11411/1/MPRA_paper_11411.pdf
    File Function: original version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/12028/2/MPRA_paper_12028.pdf
    File Function: revised version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/12027/1/MPRA_paper_12027.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Diecidue, Enrico & Wakker, Peter P, 2001. "On the Intuition of Rank-Dependent Utility," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 281-298, November.
    2. Dillenberger, David, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," MPRA Paper 8342, University Library of Munich, Germany.
    3. Markus K. Brunnermeier & Jonathan A. Parker, 2005. "Optimal Expectations," American Economic Review, American Economic Association, vol. 95(4), pages 1092-1118, September.
    4. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    5. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    6. Roland Bénabou & Jean Tirole, 2006. "Belief in a Just World and Redistributive Politics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 699-746.
    7. Akerlof, George A & Dickens, William T, 1982. "The Economic Consequences of Cognitive Dissonance," American Economic Review, American Economic Association, vol. 72(3), pages 307-319, June.
    8. Karni, Edi & Safra, Zvi, 1990. "Rank-Dependent Probabilities," Economic Journal, Royal Economic Society, vol. 100(401), pages 487-495, June.
    9. Mohammed Abdellaoui, 2002. "A Genuine Rank-Dependent Generalization of the Von Neumann-Morgenstern Expected Utility Theorem," Econometrica, Econometric Society, vol. 70(2), pages 717-736, March.
    10. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1998. "Intrinsic Preference for Information," Journal of Economic Theory, Elsevier, vol. 83(2), pages 233-259, December.
    11. 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.
    12. Roland Bénabou & Jean Tirole, 2005. "Self-Confidence and Personal Motivation," International Economic Association Series, in: Bina Agarwal & Alessandro Vercelli (ed.), Psychology, Rationality and Economic Behaviour, chapter 2, pages 19-57, Palgrave Macmillan.
    13. Tirole, Jean & Bénabou, Roland, 2007. "Identity, Dignity and Taboos: Beliefs as Assets," CEPR Discussion Papers 6123, C.E.P.R. Discussion Papers.
    14. David Dillenberger, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," PIER Working Paper Archive 08-036, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    15. Olivier Compte & Andrew Postlewaite, 2004. "Confidence-Enhanced Performance," American Economic Review, American Economic Association, vol. 94(5), pages 1536-1557, December.
    16. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    17. 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.
    18. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    19. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    20. Juan D. Carrillo & Thomas Mariotti, 2000. "Strategic Ignorance as a Self-Disciplining Device," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 529-544.
    21. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    22. Sugden Robert, 1993. "An Axiomatic Foundation for Regret Theory," Journal of Economic Theory, Elsevier, vol. 60(1), pages 159-180, June.
    23. Simon Grant & Atsushi Kajii & Ben Polak, 2000. "Temporal Resolution of Uncertainty and Recursive Non-Expected Utility Models," Econometrica, Econometric Society, vol. 68(2), pages 425-434, March.
    24. Samuelson, William & Zeckhauser, Richard, 1988. "Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
    25. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    26. Daniel Kahneman & Jack L. Knetsch & Richard H. Thaler, 1991. "Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 193-206, Winter.
    27. Zeelenberg, M., 1999. "Anticipated regret, expected feedback and behavioral decision-making," Other publications TiSEM 38371d1b-31fd-45b0-860f-b, Tilburg University, School of Economics and Management.
    28. Selden, Larry, 1978. "A New Representation of Preferences over "Certain A Uncertain" Consumption Pairs: The "Ordinal Certainty Equivalent" Hypothesis," Econometrica, Econometric Society, vol. 46(5), pages 1045-1060, September.
    29. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    30. 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.
    31. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December.
    Full references (including those not matched with items on IDEAS)

    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. Larbi Alaoui, 2012. "The value of useless information," Working Papers 625, Barcelona School of Economics.
    2. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    3. Aluma Dembo & Shachar Kariv & Matthew Polisson & John Quah, 2021. "Ever since Allais," IFS Working Papers W21/15, Institute for Fiscal Studies.
    4. Belianin, A., 2017. "Face to Face to Human Being: Achievements and Challenges of Behavioral Economics," Journal of the New Economic Association, New Economic Association, vol. 34(2), pages 166-175.
    5. Liang Zou, 2006. "An Alternative to Prospect Theory," Annals of Economics and Finance, Society for AEF, vol. 7(1), pages 1-28, May.
    6. Meng, Jingyi & Webb, Craig S. & Zank, Horst, 2024. "Mixture independence foundations for expected utility," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    7. Zvi Safra & Uzi Segal, 2005. "Are Universal Preferences Possible? Calibration Results for Non-Expected Utility Theories," Boston College Working Papers in Economics 633, Boston College Department of Economics.
    8. Botond Kőszegi, 2010. "Utility from anticipation and personal equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 415-444, September.
    9. Dean, Mark & Ortoleva, Pietro, 2017. "Allais, Ellsberg, and preferences for hedging," Theoretical Economics, Econometric Society, vol. 12(1), January.
    10. Thomas Epper & Helga Fehr-Duda, 2012. "The missing link: unifying risk taking and time discounting," ECON - Working Papers 096, Department of Economics - University of Zurich, revised Oct 2018.
    11. Coutts, Alexander, 2019. "Testing models of belief bias: An experiment," Games and Economic Behavior, Elsevier, vol. 113(C), pages 549-565.
    12. Gottlieb, Daniel, 2014. "Imperfect memory and choice under risk," Games and Economic Behavior, Elsevier, vol. 85(C), pages 127-158.
    13. Dillenberger, David & Rozen, Kareen, 2015. "History-dependent risk attitude," Journal of Economic Theory, Elsevier, vol. 157(C), pages 445-477.
    14. Marianne Andries & Valentin Haddad, 2020. "Information Aversion," Journal of Political Economy, University of Chicago Press, vol. 128(5), pages 1901-1939.
    15. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.
    16. Roland Bénabou, 2013. "Groupthink: Collective Delusions in Organizations and Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 429-462.
    17. Xi Zhi Lim, 2021. "Ordered Reference Dependent Choice," Papers 2105.12915, arXiv.org, revised Feb 2024.
    18. Li, Jian, 2020. "Preferences for partial information and ambiguity," Theoretical Economics, Econometric Society, vol. 15(3), July.
    19. Dillenberger, David, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," MPRA Paper 8342, University Library of Munich, Germany.
    20. David Dillenberger, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," PIER Working Paper Archive 08-036, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.

    More about this item

    Keywords

    Decision theory; Value of information; Doubt; Unobserved outcomes; Unresolved lotteries;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

    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:11411. 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.