IDEAS home Printed from https://ideas.repec.org/a/spr/reecde/v20y2016i1d10.1007_s10058-015-0183-8.html
   My bibliography  Save this article

Inverse S-shaped probability weighting functions in first-price sealed-bid auctions

Author

Listed:
  • Kerim Keskin

    (Bilkent University)

Abstract

It is often observed in first-price sealed-bid auction experiments that subjects tend to bid above the risk neutral Nash equilibrium predictions. One possible explanation for this overbidding phenomenon is that bidders subjectively weight their winning probabilities. In the relevant literature, the probability weighting functions (PWFs) suggested to explain overbidding imply the underweighting of all probabilities. However, such functions are not in accordance with the PWFs commonly used in the literature (i.e., inverse S-shaped functions). In this paper we introduce inverse S-shaped PWFs into first-price sealed-bid auctions and investigate the extent to which such weighting functions explain overbidding. Our results indicate that bidders with low valuations underbid, whereas those with high valuations overbid. We accordingly conclude that inverse S-shaped PWFs provide a partial explanation for overbidding.

Suggested Citation

  • Kerim Keskin, 2016. "Inverse S-shaped probability weighting functions in first-price sealed-bid auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 20(1), pages 57-67, March.
    • Handle: RePEc:spr:reecde:v:20:y:2016:i:1:d:10.1007_s10058-015-0183-8
    DOI: 10.1007/s10058-015-0183-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10058-015-0183-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10058-015-0183-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    2. 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.
    3. Salo, Ahti A & Weber, Martin, 1995. "Ambiguity Aversion in First-Price Sealed-Bid Auctions," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 123-137, September.
    4. Cox, James C & Smith, Vernon L & Walker, James M, 1985. "Experimental Development of Sealed-Bid Auction Theory: Calibrating Controls for Risk Aversion," American Economic Review, American Economic Association, vol. 75(2), pages 160-165, May.
    5. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    6. Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-196, March.
    7. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
    8. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2002. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Journal of Economic Theory, Elsevier, vol. 104(1), pages 247-272, May.
    9. Lange, Andreas & Ratan, Anmol, 2010. "Multi-dimensional reference-dependent preferences in sealed-bid auctions - How (most) laboratory experiments differ from the field," Games and Economic Behavior, Elsevier, vol. 68(2), pages 634-645, March.
    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. Kagel, John H & Roth, Alvin E, 1992. "Theory and Misbehavior in First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1379-1391, December.
    12. Viscusi, W Kip, 1989. "Prospective Reference Theory: Toward an Explanation of the Paradoxes," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 235-263, September.
    13. Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September.
    14. George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
    15. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    16. Cox, James C & Smith, Vernon L & Walker, James M, 1988. "Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
    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. Keskin, Kerim, 2018. "Cumulative prospect theory preferences in rent-seeking contests," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 85-91.
    2. Zachary Breig & Allan Hernández-Chanto & Declan Hunt, 2022. "Experimental Auctions with Securities," Discussion Papers Series 657, School of Economics, University of Queensland, Australia.
    3. Ziyi Tan & Shulin Liu, 2022. "The Generalized First- and Second-Price Auctions: Overbidding, Underbidding, and Optimal Reserve Price," Mathematics, MDPI, vol. 10(3), pages 1-15, January.
    4. Zeynep Kantur & Kerim Keskin, 2019. "On (mis-)perception of probabilities in first-price sealed-bid auctions," Economics Bulletin, AccessEcon, vol. 39(1), pages 726-733.

    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. Kerim Keskin, 2016. "Inverse S-shaped probability weighting functions in first-price sealed-bid auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 20(1), pages 57-67, March.
    2. Kim, Dong-Hyuk & Ratan, Anmol, 2022. "Disentangling risk aversion and loss aversion in first-price auctions: An empirical approach," European Economic Review, Elsevier, vol. 150(C).
    3. Josheski Dushko & Apostolov Mico, 2023. "The Prospect Theory and First Price Auctions: an Explanation of Overbidding," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 27(1), pages 33-74, March.
    4. Andreas Roider & Patrick W. Schmitz, 2012. "Auctions with Anticipated Emotions: Overbidding, Underbidding, and Optimal Reserve Prices," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 808-830, September.
    5. Matthew D. Rablen, 2023. "Loss Aversion, Risk Aversion, and the Shape of the Probability Weighting Function," Working Papers 2023013, The University of Sheffield, Department of Economics.
    6. Eyal Baharad & Doron Kliger, 2013. "Market failure in light of non-expected utility," Theory and Decision, Springer, vol. 75(4), pages 599-619, October.
    7. Vasserman, Shoshana & Watt, Mitchell, 2021. "Risk aversion and auction design: Theoretical and empirical evidence," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    8. Phillips Peter J. & Pohl Gabriela, 2018. "The Deferral of Attacks: SP/A Theory as a Model of Terrorist Choice when Losses Are Inevitable," Open Economics, De Gruyter, vol. 1(1), pages 71-85, February.
    9. Andrew M. Davis & Elena Katok & Anthony M. Kwasnica, 2011. "Do Auctioneers Pick Optimal Reserve Prices?," Management Science, INFORMS, vol. 57(1), pages 177-192, January.
    10. Kliger, Doron & Levy, Ori, 2009. "Theories of choice under risk: Insights from financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 330-346, August.
    11. Brice Corgnet & Roberto Hernán González, 2023. "You Will not Regret it: On the Practice of Randomized Incentives," Working Papers 2314, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    12. Mohammed Abdellaoui & Olivier L’Haridon & Horst Zank, 2010. "Separating curvature and elevation: A parametric probability weighting function," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 39-65, August.
    13. Xue Dong He & Sang Hu & Jan Obłój & Xun Yu Zhou, 2017. "Technical Note—Path-Dependent and Randomized Strategies in Barberis’ Casino Gambling Model," Operations Research, INFORMS, vol. 65(1), pages 97-103, February.
    14. Ariane Charpin, 2018. "Tests des modèles de décision en situation de risque. Le cas des parieurs hippiques en France," Revue économique, Presses de Sciences-Po, vol. 69(5), pages 779-803.
    15. Alarie, Yves, 2000. "L’importance de la procédure dans les choix de loteries," L'Actualité Economique, Société Canadienne de Science Economique, vol. 76(3), pages 321-340, septembre.
    16. Gul, Faruk & Pesendorfer, Wolfgang, 2015. "Hurwicz expected utility and subjective sources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 465-488.
    17. Galarza, Francisco, 2009. "Choices under Risk in Rural Peru," MPRA Paper 17708, University Library of Munich, Germany.
    18. M. Pelé & M. Broihanne & B. Thierry & J. Call & V. Dufour, 2014. "To bet or not to bet? Decision-making under risk in non-human primates," Journal of Risk and Uncertainty, Springer, vol. 49(2), pages 141-166, October.
    19. Kliger, Doron & Levy, Ori, 2008. "Mood impacts on probability weighting functions: "Large-gamble" evidence," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(4), pages 1397-1411, August.
    20. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.

    More about this item

    Keywords

    First-price auctions; Overbidding; Subjective probability weighting; Inverse S-shaped functions;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk 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:spr:reecde:v:20:y:2016:i:1:d:10.1007_s10058-015-0183-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.