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Revenue comparisons for auctions when bidders have arbitrary types

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Author Info
Che, Yeon-Koo () (Columbia University and University of Wisconsin--Madison)
Gale, Ian () (Georgetown University)

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Abstract

This paper develops a methodology for characterizing expected revenue from auctions when bidders' types come from an arbitrary distribution. In particular, types may be multidimensional, and there may be mass points in the distribution. One application extends existing revenue equivalence results. Another application shows that first-price auctions yield higher expected revenue than second-price auctions when bidders are risk averse and face financial constraints. This revenue ranking extends to risk-averse bidders with general forms of non-expected utility prefererences.

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File URL: http://econtheory.org/ojs/index.php/te/article/view/20060095/13
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Publisher Info
Article provided by Society for Economic Theory in its journal Theoretical Economics.

Volume (Year): 1 (2006)
Issue (Month): 1 (March)
Pages: 95-118
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Handle: RePEc:the:publsh:157

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Web page: http://econtheory.org

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Related research
Keywords: Auctions; multidimensional types and atoms; risk aversion; Gateaux differentiable preferences;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March. [Downloadable!] (restricted)
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  3. Karni, Edi & Safra, Zvi, 1989. "Dynamic Consistency, Revelations in Auctions and the Structure of Preferences," Review of Economic Studies, Blackwell Publishing, vol. 56(3), pages 421-33, July. [Downloadable!] (restricted)
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  7. 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. [Downloadable!] (restricted)
    Other versions:
  8. Maskin, Eric S & Riley, Joan G, 1985. "Auction Theory with Private Values," American Economic Review, American Economic Association, vol. 75(2), pages 150-55, May. [Downloadable!] (restricted)
    Other versions:
  9. Hong Chew Soo & Hui Mao Mei, 1995. "A Schur Concave Characterization of Risk Aversion for Non-expected Utility Preferences," Journal of Economic Theory, Elsevier, vol. 67(2), pages 402-435, December. [Downloadable!] (restricted)
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    Other versions:
  13. Che, Yeon-Koo & Gale, Ian, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Blackwell Publishing, vol. 65(1), pages 1-21, January. [Downloadable!] (restricted)
  14. Benoit, Jean-Pierre & Krishna, Vijay, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," Review of Economic Studies, Blackwell Publishing, vol. 68(1), pages 155-79, January.
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  18. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June. [Downloadable!] (restricted)
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  19. Maskin, Eric S., 2000. "Auctions, development, and privatization: Efficient auctions with liquidity-constrained buyers," European Economic Review, Elsevier, vol. 44(4-6), pages 667-681, May. [Downloadable!] (restricted)
  20. Volij, Oscar, 2002. "Payoff Equivalence in Sealed Bid Auctions and the Dual Theory of Choice Under Risk," Staff General Research Papers 10129, Iowa State University, Department of Economics.
  21. John Asker & Estelle Cantillon, 2004. "Equilibrium in Scoring Auctions," Working Papers 2004.148, Fondazione Eni Enrico Mattei. [Downloadable!]
  22. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August. [Downloadable!] (restricted)
  23. 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. [Downloadable!] (restricted)
  24. 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 433-45, June. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Svaiter, Benar Fux & Monteiro, Paulo Klinger, 2008. "Optimal auction with a general distribution: virtual valuation without densities," Economics Working Papers (Ensaios Economicos da EPGE) 681, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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