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Auctions with options to re-auction

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Author Info
Grant, S.
Kajii, A.
Menezes, F.
Ryan, M.J. (Tilburg University, Center for Economic Research)

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Abstract

We examine the role of seller bidding and reserve prices in an infinitely repeated independent-private-value (IPV) ascending-price auction. The seller has a single object that she values at zero. At the end of any auction round, she may either sell to the highest bidder or pass-in the object and hold a new auction next period. New bidders are drawn randomly in each round. The ability to re-auction motivates a notion of reserve price as the option value of retaining the object for re-auctioning. Even in the absence of a mechanism with which to commit to a reserve price, the optimal secret reserve is shown to exceed zero. However, despite the infinite repetition, there may be significant value to the seller from a binding reserve price commitment: the optimal binding reserve is higher than the optimal "secret" reserve, and may be substantially so, even with very patient players. Furthermore, reserve price commitments may even be socially preferable at high discount factors. We also show that the optimal phantom bidding strategy for the seller is revenue-equivalent to a commitment to an optimal public reserve price.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 55.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200255

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Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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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. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October. [Downloadable!] (restricted)
  2. Horstmann, Ignatius J & LaCasse, Chantale, 1997. "Secret Reserve Prices in a Bidding Model with a Resale Option," American Economic Review, American Economic Association, vol. 87(4), pages 663-84, September. [Downloadable!] (restricted)
  3. Holt, Charles A, Jr, 1979. "Uncertainty and the Bidding for Incentive Contracts," American Economic Review, American Economic Association, vol. 69(4), pages 697-705, September. [Downloadable!] (restricted)
  4. Engelbrecht-Wiggans Richard, 1993. "Optimal Auctions Revisited," Games and Economic Behavior, Elsevier, vol. 5(2), pages 227-239, April. [Downloadable!] (restricted)
  5. Graham, Daniel A. & Marshall, Robert C. & Richard, Jean-Francois, 1990. "Phantom bidding against heterogeneous bidders," Economics Letters, Elsevier, vol. 32(1), pages 13-17, January. [Downloadable!] (restricted)
  6. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  7. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February. [Downloadable!] (restricted)
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  8. Burguet, Roberto & Sakovics, Jozsef, 1996. "Reserve Prices without Commitment," Games and Economic Behavior, Elsevier, vol. 15(2), pages 149-164, August. [Downloadable!] (restricted)
  9. 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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  10. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January. [Downloadable!] (restricted)
  11. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-99, June. [Downloadable!] (restricted)
  12. Alvin E. Roth & Axel Ockenfels, 2000. "Last Minute Bidding and the Rules for Ending Second-Price Auctions: Theory and Evidence from a Natural Experiment on the Internet," NBER Working Papers 7729, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  13. Lucking-Reiley, David, 2000. "Auctions on the Internet: What's Being Auctioned, and How?," Journal of Industrial Economics, Blackwell Publishing, vol. 48(3), pages 227-52, September. [Downloadable!] (restricted)
  14. Harstad, Ronald M. & Kagel, John H. & Levin, Dan, 1990. "Equilibrium bid functions for auctions with an uncertain number of bidders," Economics Letters, Elsevier, vol. 33(1), pages 35-40, May. [Downloadable!] (restricted)
  15. Dale Mortensen, 1984. "Job Search and Labor Market Analysis," Discussion Papers 594, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  16. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June. [Downloadable!] (restricted)
  17. Chris Jones & Flavio Menezes & Francis Vella, 2004. "Auction Price Anomalies: Evidence from Wool Auctions in Australia," The Economic Record, The Economic Society of Australia, vol. 80(250), pages 271-288, 09. [Downloadable!] (restricted)
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  18. Porter, Robert H, 1995. "The Role of Information in U.S. Offshore Oil and Gas Lease Auctions," Econometrica, Econometric Society, vol. 63(1), pages 1-27, January. [Downloadable!] (restricted)
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  19. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [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. Flávio Menezes & Matthew Ryan, 2009. "Coasian dynamics in repeated English auctions," International Journal of Game Theory, Springer, vol. 38(3), pages 349-366, November. [Downloadable!] (restricted)
    Other versions:
  2. Glowicka, Ela & Beck, Jonathan, 2006. "A note on reserve price commitments in the Vickrey auction," MPRA Paper 6669, University Library of Munich, Germany. [Downloadable!]
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