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Auctions with options to re-auction

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Author Info

  • Simon Grant
  • Atsushi Kajii
  • Flavio Menezes
  • Matthew J. Ryan

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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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1365-2966.2006.0022.x
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Bibliographic Info

Article provided by The International Society for Economic Theory in its journal International Journal of Economic Theory.

Volume (Year): 2 (2006)
Issue (Month): 1 ()
Pages: 17-39

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Handle: RePEc:bla:ijethy:v:2:y:2006:i:1:p:17-39

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  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.
  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.
  3. 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.
  4. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
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  7. Lucking-Reiley, David, 2000. "Auctions on the Internet: What's Being Auctioned, and How?," Journal of Industrial Economics, Wiley Blackwell, vol. 48(3), pages 227-52, September.
  8. 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.
  9. Ruqu Wang, 1991. "Auctions Versus Posted-Price Selling," Working Papers 812, Queen's University, Department of Economics.
  10. Indranil Chakraborty & Georgia Kosmopoulou, 2004. "Auctions with shill bidding," Economic Theory, Springer, vol. 24(2), pages 271-287, August.
  11. Engelbrecht-Wiggans Richard, 1993. "Optimal Auctions Revisited," Games and Economic Behavior, Elsevier, vol. 5(2), pages 227-239, April.
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  14. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January.
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  16. 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.
  17. Jones, C. & Menezes, F. & Vella, F., 1996. "Auctions Price Anomalies: Evidence from Wool Auctions in Australia," Papers 303, Australian National University - Department of Economics.
  18. Mortensen, Dale T., 1987. "Job search and labor market analysis," Handbook of Labor Economics, in: O. Ashenfelter & R. Layard (ed.), Handbook of Labor Economics, edition 1, volume 2, chapter 15, pages 849-919 Elsevier.
  19. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  20. Burguet, Roberto & Sakovics, Jozsef, 1996. "Reserve Prices without Commitment," Games and Economic Behavior, Elsevier, vol. 15(2), pages 149-164, August.
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Citations

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Cited by:
  1. Flavio M. Menezes & Matthew J. Ryan, 2007. "Coasian Dynamics in Repeated English Auctions," Discussion Papers Series 349, School of Economics, University of Queensland, Australia.
  2. Glowicka, Ela & Beck, Jonathan, 2006. "A note on reserve price commitments in the Vickrey auction," MPRA Paper 6669, University Library of Munich, Germany.
  3. Octavian Carare, 2012. "Reserve Prices in Repeated Auctions," Review of Industrial Organization, Springer, vol. 40(3), pages 225-247, May.
  4. Tsuchihashi, Toshihiro, 2012. "Sequential Internet auctions with different ending rules," Journal of Economic Behavior & Organization, Elsevier, vol. 81(2), pages 583-598.

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