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

  • Armantier, Olivier
  • Treich, Nicolas

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.

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Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 09-024.

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Date of creation: Mar 2009
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Handle: RePEc:tse:wpaper:22143
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  1. 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.
  2. Mich�le D. Cohen, 1995. "Risk-Aversion Concepts in Expected- and Non-Expected-Utility Models," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 20(1), pages 73-91, June.
  3. 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.
  4. Landsberger, Michael & Meilijson, Isaac, 1990. "Lotteries, insurance, and star-shaped utility functions," Journal of Economic Theory, Elsevier, vol. 52(1), pages 1-17, October.
  5. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
  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. 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 160-65, May.
  8. 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.
  9. 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.
  10. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  11. repec:hal:journl:halshs-00212281 is not listed on IDEAS
  12. Wakker, Peter & Tversky, Amos, 1993. " An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-75, October.
  13. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  14. 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 541-46, August.
  15. Thomas Palfrey, 2002. "Quantal Response Equilibrium and Overbidding in Private Value Auctions," Theory workshop papers 357966000000000089, UCLA Department of Economics.
  16. 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 1065-92, July.
  17. 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.
  18. 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.
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