IDEAS home Printed from https://ideas.repec.org/p/exc/wpaper/2006-03.html
   My bibliography  Save this paper

Small- and Large-Stakes Risk Aversion: Implications of Concavity Calibration for Decision Theory

Author

Listed:
  • James C. Cox
  • Vjollca Sadiraj

Abstract

A growing literature reports the conclusions that: (a) expected utility theory does not provide a plausible theory of risk aversion for both small-stakes and large-stakes gambles; and (b) this decision theory should be replaced with an alternative theory characterized by loss aversion. This paper explains that the arguments in previous literature fail to support these conclusions. Either concavity calibration has no general implication for expected utility theory or it has problematic implications for all decision theories that involve concave transformations (utility or value functions) of positive money payoffs, which makes loss aversion irrelevant to the argument

Suggested Citation

  • James C. Cox & Vjollca Sadiraj, 2007. "Small- and Large-Stakes Risk Aversion: Implications of Concavity Calibration for Decision Theory," Experimental Economics Center Working Paper Series 2006-03, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  • Handle: RePEc:exc:wpaper:2006-03
    as

    Download full text from publisher

    File URL: http://excen.gsu.edu/workingpapers/GSU_EXCEN_WP_2006-03.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    2. Matthews, Steven A., 1983. "Selling to risk averse buyers with unobservable tastes," Journal of Economic Theory, Elsevier, vol. 30(2), pages 370-400, August.
    3. Cox, James C. & Smith, Vernon L. & Walker, James M., 1982. "Auction market theory of heterogeneous bidders," Economics Letters, Elsevier, vol. 9(4), pages 319-325.
    4. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    5. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    6. Moore, John, 1984. "Global Incentive Constraints in Auction Design," Econometrica, Econometric Society, vol. 52(6), pages 1523-1535, November.
    7. Palacios-Huerta, Ignacio & Serrano, Roberto, 2006. "Rejecting small gambles under expected utility," Economics Letters, Elsevier, vol. 91(2), pages 250-259, May.
    8. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    9. Matthew Rabin & Richard H. Thaler, 2013. "Anomalies: Risk aversion," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 27, pages 467-480, World Scientific Publishing Co. Pte. Ltd..
    10. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    11. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    12. Ariel Rubinstein, 2006. "Dilemmas of an Economic Theorist," Econometrica, Econometric Society, vol. 74(4), pages 865-883, July.
    13. Daniel Kahneman, 2003. "A Psychological Perspective on Economics," American Economic Review, American Economic Association, vol. 93(2), pages 162-168, May.
    14. Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-1499, November.
    15. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    16. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    17. Holt, Charles A, Jr, 1980. "Competitive Bidding for Contracts under Alternative Auction Procedures," Journal of Political Economy, University of Chicago Press, vol. 88(3), pages 433-445, June.
    18. Colin Camerer & Richard H. Thaler, 2003. "In Honor of Matthew Rabin: Winner of the John Bates Clark Medal," Journal of Economic Perspectives, American Economic Association, vol. 17(3), pages 159-176, Summer.
    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. Hu, Audrey & Offerman, Theo & Zou, Liang, 2011. "Premium auctions and risk preferences," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2420-2439.
    2. Vasserman, Shoshana & Watt, Mitchell, 2021. "Risk aversion and auction design: Theoretical and empirical evidence," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    3. Hu, Audrey & Matthews, Steven A. & Zou, Liang, 2010. "Risk aversion and optimal reserve prices in first- and second-price auctions," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1188-1202, May.
    4. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    5. Yonghong Long, 2009. "Bidders¡¯ Risk Preferences in Discriminative Auctions," Annals of Economics and Finance, Society for AEF, vol. 10(1), pages 215-223, May.
    6. Anne Épaulard & Jean-Pierre Laffargue & Pierre Malgrange, 2008. "Présentation générale," Economie & Prévision, La Documentation Française, vol. 0(2), pages 1-13.
    7. Audrey Hu & Liang Zou, 2008. "Auctions under Payoff Uncertainty: The Case with Heterogeneous Bidder-Aversion to Downside Risk," Tinbergen Institute Discussion Papers 08-044/1, Tinbergen Institute, revised 22 Apr 2008.
    8. Page Jr., Frank H., 1998. "Existence of optimal auctions in general environments," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 389-418, May.
    9. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    10. Han Bleichrodt & Jason N. Doctor & Yu Gao & Chen Li & Daniella Meeker & Peter P. Wakker, 2019. "Resolving Rabin’s paradox," Journal of Risk and Uncertainty, Springer, vol. 59(3), pages 239-260, December.
    11. Volij, Oscar, 2002. "Payoff equivalence in sealed bid auctions and the dual theory of choice under risk," Economics Letters, Elsevier, vol. 76(2), pages 231-237, July.
    12. Eric Maskin, 2004. "The Unity of Auction Theory: Paul Milgrom's Masterclass," Economics Working Papers 0044, Institute for Advanced Study, School of Social Science.
    13. 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.
    14. Matthew J. Clayton & S. Abraham Ravid, 1999. "The Effect of Leverage on Bidding Behavior: Theory and Evidence from the FCC Auctions," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-055, New York University, Leonard N. Stern School of Business-.
    15. Hon-Snir, Shlomit & Monderer, Dov & Sela, Aner, 1998. "A Learning Approach to Auctions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 65-88, September.
    16. Jofre-Bonet, Mireia & Pesendorfer, Martin, 2014. "Optimal sequential auctions," International Journal of Industrial Organization, Elsevier, vol. 33(C), pages 61-71.
    17. Atanu R. Sinha & Eric A. Greenleaf, 2000. "The Impact of Discrete Bidding and Bidder Aggressiveness on Sellers' Strategies in Open English Auctions: Reserves and Covert Shilling," Marketing Science, INFORMS, vol. 19(3), pages 244-265, May.
    18. Li, Huagang & Riley, John G., 2007. "Auction choice," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1269-1298, December.
    19. Marie BLUM, 2021. "Auction hosts: are they really impartial?," Working Papers of LaRGE Research Center 2021-09, Laboratoire de Recherche en Gestion et Economie (LaRGE), Université de Strasbourg.
    20. Maskin, Eric S & Riley, Joan G, 1985. "Auction Theory with Private Values," American Economic Review, American Economic Association, vol. 75(2), pages 150-155, May.

    More about this item

    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:exc:wpaper:2006-03. 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: J. Todd Swarthout (email available below). General contact details of provider: https://edirc.repec.org/data/exgsuus.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.