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Revenue comparisons for auctions when bidders have arbitrary types

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Author Info
Yeon-Koo Che () (Columbia University - Department of Economics)
Ian Gale () (Georgetown University - Department of Economics)

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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 preferences.

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File URL: http://www.econ.columbia.edu/RePEc/pdf/DP0506-03.pdf
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Paper provided by Columbia University, Department of Economics in its series Discussion Papers with number 0506-03.

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Length: 33 pages
Date of creation: 2005
Date of revision:
Handle: RePEc:clu:wpaper:0506-03

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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)
  2. Zheng, Charles Z., 2001. "High Bids and Broke Winners," Journal of Economic Theory, Elsevier, vol. 100(1), pages 129-171, September. [Downloadable!] (restricted)
  3. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer. [Downloadable!] (restricted)
  4. Neilson William S., 1994. "Second Price Auctions without Expected Utility," Journal of Economic Theory, Elsevier, vol. 62(1), pages 136-151, February. [Downloadable!] (restricted)
  5. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March. [Downloadable!] (restricted)
  6. 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)
  7. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December. [Downloadable!] (restricted)
  8. Riley, John G, 1989. "Expected Revenue from Open and Sealed Bid Auctions," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 41-50, Summer. [Downloadable!] (restricted)
  9. 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)
  10. Yeon-Koo Che, 1993. "Design Competition through Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 668-680, Winter. [Downloadable!] (restricted)
  11. 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)
  12. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January. [Downloadable!] (restricted)
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  13. 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)
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  14. 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)
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  15. 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)
  16. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December. [Downloadable!] (restricted)
  17. Matthews, Steven A., 1983. "Selling to risk averse buyers with unobservable tastes," Journal of Economic Theory, Elsevier, vol. 30(2), pages 370-400, August. [Downloadable!] (restricted)
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  18. 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.
  19. Fang, Hanming & Parreiras, Sergio O., 2003. "On the failure of the linkage principle with financially constrained bidders," Journal of Economic Theory, Elsevier, vol. 110(2), pages 374-392, June. [Downloadable!] (restricted)
  20. 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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  21. 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.
  22. John Asker & Estelle Cantillon, 2004. "Equilibrium in Scoring Auctions," Working Papers 2004.148, Fondazione Eni Enrico Mattei. [Downloadable!]
  23. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August. [Downloadable!] (restricted)
  24. 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)
  25. 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)
  26. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November. [Downloadable!] (restricted)
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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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