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Star-Shaped Probability Weighting Functions and Overbidding in First-Price Auctions

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  • Armantier, Olivier
  • Treich, Nicolas

Abstract

There is a debate about whether risk aversion is the main source of overbidding in a first-price independent private values auction. As an alternative, we adopt a non-expected utility framework, and identify an interpretable property on the probability weighting function which always induces overbidding.

Suggested Citation

  • Armantier, Olivier & Treich, Nicolas, 2009. "Star-Shaped Probability Weighting Functions and Overbidding in First-Price Auctions," TSE Working Papers 09-024, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:22143
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    References listed on IDEAS

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    1. Michèle D. Cohen, 1995. "Risk-Aversion Concepts in Expected- and Non-Expected-Utility Models," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 20(1), pages 73-91, June.
    2. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-1092, July.
    5. Landsberger, Michael & Meilijson, Isaac, 1990. "Lotteries, insurance, and star-shaped utility functions," Journal of Economic Theory, Elsevier, vol. 52(1), pages 1-17, October.
    6. Safra, Zvi & Segal, Uzi, 2001. "Rank-dependent preferences without ranking axioms," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 547-562, July.
    7. 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.
    8. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    9. Luce, R. Duncan, 1991. "Rank- and sign-dependent linear utility models for binary gambles," Journal of Economic Theory, Elsevier, vol. 53(1), pages 75-100, February.
    10. Harrison, Glenn W, 1990. "Risk Attitudes in First-Price Auction Experiments: A Bayesian Analysis," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 541-546, August.
    11. 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.
    12. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    13. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    14. Chen, Kay-Yut & Plott, Charles R., 1998. "Nonlinear Behavior in Sealed Bid First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 34-78, October.
    15. 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.
    16. Luce, R Duncan & Fishburn, Peter C, 1991. "Rank- and Sign-Dependent Linear Utility Models for Finite First-Order Gambles," Journal of Risk and Uncertainty, Springer, vol. 4(1), pages 29-59, January.
    17. Schmidt, Ulrich & Zank, Horst, 2001. "A new axiomatization of rank-dependent expected utility with tradeoff consistency for equally likely outcomes," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 483-491, July.
    18. Wakker, Peter & Tversky, Amos, 1993. "An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-175, October.
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    Citations

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    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. Fugger, Nicolas & Gillen, Philippe & Rasch, Alexander & Zeppenfeld, Christopher, 2016. "Preferences and Decision Support in Competitive Bidding," VfS Annual Conference 2016 (Augsburg): Demographic Change 145849, Verein für Socialpolitik / German Economic Association.
    3. Dahm, Matthias & González, Paula & Porteiro, Nicolás, 2018. "The enforcement of mandatory disclosure rules," Journal of Public Economics, Elsevier, vol. 167(C), pages 21-32.
    4. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    5. Paul Pezanis-Christou & Hang Wu, 2017. "A Naïve Approach to Bidding," School of Economics and Public Policy Working Papers 2017-03, University of Adelaide, School of Economics and Public Policy.
    6. 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.
    7. Sascha Füllbrunn & Dirk‐Jan Janssen & Utz Weitzel, 2019. "Risk Aversion And Overbidding In First Price Sealed Bid Auctions: New Experimental Evidence," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 631-647, January.
    8. Filiz-Ozbay, Emel & Ozbay, Erkut Y., 2010. "Anticipated loser regret in third price auctions," Economics Letters, Elsevier, vol. 107(2), pages 217-219, May.
    9. 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.
    10. Paul Pezanis-Christou & Hang Wu, 2018. "A non-game-theoretic approach to bidding in first-price and all-pay auctions," School of Economics and Public Policy Working Papers 2018-12, University of Adelaide, School of Economics and Public Policy.
    11. repec:wyi:journl:002158 is not listed on IDEAS

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    More about this item

    Keywords

    probability weighting function; auctions; overbidding; non-expected utility; risk aversion;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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