IDEAS home Printed from https://ideas.repec.org/a/psc/journl/v7y2015i2p71-90.html
   My bibliography  Save this article

Monotonicity of the Selling Price of Information with Risk Aversion in Two Action Decision Problems

Author

Listed:
  • Niyazi Onur Bakir

    (Istanbul Kemerburgaz University)

Abstract

Various approaches have been introduced over the years to evaluate information in the expected utility framework. This paper analyzes the relationship between the degree of risk aversion and the selling price of information in a lottery setting with two actions. We show that the initial decision on the lottery as well as the attitude of the decision maker towards risk as a function of the initial wealth level are critical to characterizing this relationship. When the initial decision is to reject, a non-decreasingly risk averse decision maker asks for a higher selling price as he gets less risk averse. Conversely, when the initial decision is to accept, non-increasingly risk averse decision makers ask a higher selling price as they get more risk averse if information is collected on bounded lotteries. We also show that the assumption of the lower bound for lotteries can be relaxed for the quadratic utility family.

Suggested Citation

  • Niyazi Onur Bakir, 2015. "Monotonicity of the Selling Price of Information with Risk Aversion in Two Action Decision Problems," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 7(2), pages 71-90, June.
  • Handle: RePEc:psc:journl:v:7:y:2015:i:2:p:71-90
    as

    Download full text from publisher

    File URL: http://cejeme.eu/publishedarticles/2015-08-01-635740564836875000-1756.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ronald W. Hilton, 1981. "The Determinants of Information Value: Synthesizing Some General Results," Management Science, INFORMS, vol. 27(1), pages 57-64, January.
    2. Michał Lewandowski, 2013. "Risk Attitudes, Buying and Selling Price for a Lottery and Simple Strategies," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 5(1), pages 1-34, March.
    3. L. P. Fatti & A. Mehrez & M. Pachter, 1987. "Bounds and properties of the expected value of sample information for a project‐selection problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(1), pages 141-150, February.
    4. Gould, John P., 1974. "Risk, stochastic preference, and the value of information," Journal of Economic Theory, Elsevier, vol. 8(1), pages 64-84, May.
    5. Nicky J. Welton & Howard H. Z. Thom, 2015. "Value of Information," Medical Decision Making, , vol. 35(5), pages 564-566, July.
    6. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
    7. BakIr, Niyazi Onur & Klutke, Georgia-Ann, 2011. "Information and preference reversals in lotteries," European Journal of Operational Research, Elsevier, vol. 210(3), pages 752-756, May.
    8. Louis Eeckhoudt & Philippe Godfroid, 2000. "Risk Aversion and the Value of Information," The Journal of Economic Education, Taylor & Francis Journals, vol. 31(4), pages 382-388, December.
    9. Thomas Gehrig & Werner Güth & René Levínský, 2003. "Ultimatum Offers and the Role of Transparency: An Experimental Study of Information Acquisition," Papers on Strategic Interaction 2003-16, Max Planck Institute of Economics, Strategic Interaction Group.
    10. Abraham Mehrez, 1985. "Technical Note—The Effect of Risk Aversion on the Expected Value of Perfect Information," Operations Research, INFORMS, vol. 33(2), pages 455-458, April.
    11. J. Eric Bickel, 2008. "The Relationship Between Perfect and Imperfect Information in a Two-Action Risk-Sensitive Problem," Decision Analysis, INFORMS, vol. 5(3), pages 116-128, September.
    12. Hazen, Gordon B & Sounderpandian, Jayavel, 1999. "Lottery Acquisition versus Information Acquisition: Prices and Preference Reversals," Journal of Risk and Uncertainty, Springer, vol. 18(2), pages 125-136, August.
    13. Ali E. Abbas & N. Onur Bakır & Georgia-Ann Klutke & Zhengwei Sun, 2013. "Effects of Risk Aversion on the Value of Information in Two-Action Decision Problems," Decision Analysis, INFORMS, vol. 10(3), pages 257-275, September.
    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. Ali E. Abbas & N. Onur Bakır & Georgia-Ann Klutke & Zhengwei Sun, 2013. "Effects of Risk Aversion on the Value of Information in Two-Action Decision Problems," Decision Analysis, INFORMS, vol. 10(3), pages 257-275, September.
    2. Niyazi Onur Bakır & Georgia-Ann Klutke, 2014. "Buying price of event information in two-action decision problems," Environment Systems and Decisions, Springer, vol. 34(1), pages 38-48, March.
    3. Philippe Delquié, 2008. "The Value of Information and Intensity of Preference," Decision Analysis, INFORMS, vol. 5(3), pages 129-139, September.
    4. BakIr, Niyazi Onur & Klutke, Georgia-Ann, 2011. "Information and preference reversals in lotteries," European Journal of Operational Research, Elsevier, vol. 210(3), pages 752-756, May.
    5. Zou, Guang & Faber, Michael Havbro & González, Arturo & Banisoleiman, Kian, 2021. "Computing the value of information from periodic testing in holistic decision making under uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 206(C).
    6. Vilkkumaa, Eeva & Liesiö, Juuso & Salo, Ahti, 2014. "Optimal strategies for selecting project portfolios using uncertain value estimates," European Journal of Operational Research, Elsevier, vol. 233(3), pages 772-783.
    7. Zhengwei Sun & Ali E. Abbas, 2014. "On the sensitivity of the value of information to risk aversion in two-action decision problems," Environment Systems and Decisions, Springer, vol. 34(1), pages 24-37, March.
    8. J. Eric Bickel, 2008. "The Relationship Between Perfect and Imperfect Information in a Two-Action Risk-Sensitive Problem," Decision Analysis, INFORMS, vol. 5(3), pages 116-128, September.
    9. Adam Fleischhacker & Pak-Wing Fok & Mokshay Madiman & Nan Wu, 2023. "A Closed-Form EVSI Expression for a Multinomial Data-Generating Process," Decision Analysis, INFORMS, vol. 20(1), pages 73-84, March.
    10. Debarun Bhattacharjya & Jo Eidsvik & Tapan Mukerji, 2013. "The Value of Information in Portfolio Problems with Dependent Projects," Decision Analysis, INFORMS, vol. 10(4), pages 341-351, December.
    11. Sun, Zhengwei & Hupman, Andrea C. & Abbas, Ali E., 2021. "The value of information for price dependent demand," European Journal of Operational Research, Elsevier, vol. 288(2), pages 511-522.
    12. James E. Smith & Canan Ulu, 2017. "Risk Aversion, Information Acquisition, and Technology Adoption," Operations Research, INFORMS, vol. 65(4), pages 1011-1028, August.
    13. Aharon, David Y. & Qadan, Mahmoud, 2018. "What drives the demand for information in the commodity market?," Resources Policy, Elsevier, vol. 59(C), pages 532-543.
    14. Osimani, Barbara, 2012. "Risk information processing and rational ignoring in the health context," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 41(2), pages 169-179.
    15. Springborn, Michael R., 2014. "Risk aversion and adaptive management: Insights from a multi-armed bandit model of invasive species risk," Journal of Environmental Economics and Management, Elsevier, vol. 68(2), pages 226-242.
    16. Sushil Bikhchandani & John W. Mamer, 2013. "Decreasing Marginal Value of Information Under Symmetric Loss," Decision Analysis, INFORMS, vol. 10(3), pages 245-256, September.
    17. Han Bleichrodt & David Crainich & Louis Eeckhoudt & Nicolas Treich, 2020. "Risk aversion and the value of diagnostic tests," Theory and Decision, Springer, vol. 89(2), pages 137-149, September.
    18. Emanuele Borgonovo & Alessandra Cillo, 2017. "Deciding with Thresholds: Importance Measures and Value of Information," Risk Analysis, John Wiley & Sons, vol. 37(10), pages 1828-1848, October.
    19. Jafarizadeh, Babak, 2012. "Information acquisition as an American option," Energy Economics, Elsevier, vol. 34(3), pages 807-816.
    20. Haag, Fridolin & Chennu, Arjun, 2023. "Assessing whether decisions are more sensitive to preference or prediction uncertainty with a value of information approach," Omega, Elsevier, vol. 121(C).

    More about this item

    Keywords

    decision analysis; value of information; selling price; risk aversion; buying price;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    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:psc:journl:v:7:y:2015:i:2:p:71-90. 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: Damian Jelito (email available below). General contact details of provider: http://cejeme.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.