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Payoff Equivalence in Sealed Bid Auctions and the Dual Theory of Choice Under Risk

  • Volij, Oscar

This paper considers single item auctions in the private values framework, with buyers whose preferences satisfy the axioms of Yaari's (1987) dual theory of choice under risk. It is shown that when their valuations are independently distributed, risk averse buyers are indifferent among all the auctions contained in a large family of mechanisms that includes the standard auctions.

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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 10129.

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Date of creation: 01 Jan 2002
Date of revision:
Publication status: Published in Economics Letters 2002, vol. 76 no. 2, pp. 231-237
Handle: RePEc:isu:genres:10129
Contact details of provider: Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
Web page: http://www.econ.iastate.eduEmail:


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  1. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June.
  2. Steven A. Matthews, 1981. "Selling to Risk Averse Buyers with Unobservable Tastes," Discussion Papers 480S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. J. Riley & E. Maskin, 1981. "Optimal Auctions with Risk Averse Buyers," Working papers 311, Massachusetts Institute of Technology (MIT), Department of Economics.
  4. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-46, May.
  5. Muller, Alfred, 1997. "Stop-loss order for portfolios of dependent risks," Insurance: Mathematics and Economics, Elsevier, vol. 21(3), pages 219-223, December.
  6. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  7. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Salo, Ahti A & Weber, Martin, 1995. "Ambiguity Aversion in First-Price Sealed-Bid Auctions," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 123-37, September.
  9. Karni, Edi & Safra, Zvi, 1989. "Dynamic Consistency, Revelations in Auctions and the Structure of Preferences," Review of Economic Studies, Wiley Blackwell, vol. 56(3), pages 421-33, July.
  10. Uzi Segal, 1989. "Two-Stage Lotteries Without the Reduction Axiom," UCLA Economics Working Papers 552, UCLA Department of Economics.
  11. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  12. Karni, Edi & Safra, Zvi, 1986. "Vickrey auctions in the theory of expected utility with rank-dependent probabilities," Economics Letters, Elsevier, vol. 20(1), pages 15-18.
  13. Kin Chung Lo, 1998. "Sealed bid auctions with uncertainty averse bidders," Economic Theory, Springer, vol. 12(1), pages 1-20.
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