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The Value of Information in Anticipated Utility Theory

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  • Schlee, Edward

Abstract

A well-known property of expected utility theory is that the value of information is nonnegative. Given the widespread dissatisfaction with the expected utility hypothesis, a natural question to ask is whether competing theories of choice preserve this property. This article considers one widely discussed alternative to expected utility, anticipated utility theory. We show that, like expected utility, the anticipated value of perfect information is always nonnegative. The value of imperfect information, however, may be negative, though the precise valuation of information depends upon whether the reduction of compound lotteries axiom is used to derive the anticipated utility functional. Copyright 1990 by Kluwer Academic Publishers

Suggested Citation

  • Schlee, Edward, 1990. "The Value of Information in Anticipated Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 83-92, March.
    • Handle: RePEc:kap:jrisku:v:3:y:1990:i:1:p:83-92
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    Cited by:

    1. Linda Thunström & Chian Jones Ritten, 2019. "Endogenous attention to costs," Journal of Risk and Uncertainty, Springer, vol. 59(1), pages 1-22, August.
    2. Edward SchleeE, 1997. "The sure thing principle and the value of information," Theory and Decision, Springer, vol. 42(1), pages 21-36, January.
    3. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1998. "Intrinsic Preference for Information," Journal of Economic Theory, Elsevier, vol. 83(2), pages 233-259, December.
    4. Linda Thunström & Jonas Nordström & Jason F. Shogren & Mariah Ehmke & Klaas Veld, 2016. "Strategic self-ignorance," Journal of Risk and Uncertainty, Springer, vol. 52(2), pages 117-136, April.
    5. 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.
    6. Mehrez, Abraham, 1997. "The interface between OR/MS and decision theory," European Journal of Operational Research, Elsevier, vol. 99(1), pages 38-47, May.
    7. Mehrez, A. & Yuan, Y. & Gafni, A., 1995. "The search for information -- A patient perspective on multiple opinions," European Journal of Operational Research, Elsevier, vol. 85(2), pages 244-262, September.
    8. Lehrer, Ehud & Rosenberg, Dinah, 2006. "What restrictions do Bayesian games impose on the value of information?," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 343-357, June.
    9. Kelepouris, Thomas & McFarlane, Duncan, 2010. "Determining the value of asset location information systems in a manufacturing environment," International Journal of Production Economics, Elsevier, vol. 126(2), pages 324-334, August.
    10. Simon Grant & Atsushi Kajii & Ben Polak, 2000. "Preference for Information and Dynamic Consistency," Theory and Decision, Springer, vol. 48(3), pages 263-286, May.
    11. Nathalie Etchart, 2002. "Adequate Moods for non-eu Decision Making in a Sequential Framework," Theory and Decision, Springer, vol. 52(1), pages 1-28, February.
    12. Dillenberger, David, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," MPRA Paper 8342, University Library of Munich, Germany.
    13. Karni, Edi & Safra, Zvi, 2022. "Hybrid decision model and the ranking of experiments," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    14. Bruno Bassan & Olivier Gossner & Marco Scarsini & Shmuel Zamir, 2003. "Positive value of information in games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 17-31, December.
    15. 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.
    16. Ali, S. Nageeb, 2018. "Herding with costly information," Journal of Economic Theory, Elsevier, vol. 175(C), pages 713-729.

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