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Private Information in Sequential Common-Value Auctions

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Author Info
Johannes Horner
Julian Jamison
Abstract

We study an infinitely-repeated ?rst-price auction with common values. Initially, bid- ders receive independent private signals about the objects' value, which itself does not change over time. Learning occurs only through observation of the bids. Under one-sided incomplete information, this information is eventually revealed and the seller extracts es- sentially the entire rent (for large discount factors). Both players?payo¤s tend to zero as the discount factor tends to one. However, the uninformed bidder does relatively better than the informed bidder. We discuss the case of two-sided incomplete information, and argue that, under a Markovian re?nement, the outcome is pooling: information is revealed only insofar as it does not affect prices. Bidders submit a common, low bid in the tradition of collusion without conspiracy.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1422.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1422.

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Date of creation: Mar 2006
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Handle: RePEc:nwu:cmsems:1422

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Related research
Keywords: repeated game with incomplete information private information ratchet effect first-price auction dynamic auctions

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions

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  1. Caillaud, Bernard & Mezzetti, Claudio, 2004. "Equilibrium reserve prices in sequential ascending auctions," Journal of Economic Theory, Elsevier, vol. 117(1), pages 78-95, July. [Downloadable!] (restricted)
  2. Hart, Oliver D & Tirole, Jean, 1988. "Contract Renegotiation and Coasian Dynamics," Review of Economic Studies, Blackwell Publishing, vol. 55(4), pages 509-40, October. [Downloadable!] (restricted)
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  3. Hon-Snir, Shlomit & Monderer, Dov & Sela, Aner, 1998. "A Learning Approach to Auctions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 65-88, September. [Downloadable!] (restricted)
  4. Eric Maskin & John Riley, 2003. "Uniqueness of Equilibrium in Sealed High-Bid Auctions," Economics Working Papers 0031, Institute for Advanced Study, School of Social Science. [Downloadable!]
    Other versions:
  5. Maskin, Eric & Riley, John, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 439-54, July.
  6. Engelbrecht-Wiggans, Richard & Milgrom, Paul R. & Weber, Robert J., 1983. "Competitive bidding and proprietary information," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 161-169, April. [Downloadable!] (restricted)
  7. Gerard J. van den Berg & Jan C. van Ours & Menno P. Pradhan, 2001. "The Declining Price Anomaly in Dutch Dutch Rose Auctions," American Economic Review, American Economic Association, vol. 91(4), pages 1055-1062, September. [Downloadable!] (restricted)
  8. 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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  9. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November. [Downloadable!] (restricted)
  10. Freixas, Xavier & Guesnerie, Roger & Tirole, Jean, 1985. "Planning under Incomplete Information and the Ratchet Effect," Review of Economic Studies, Blackwell Publishing, vol. 52(2), pages 173-91, April. [Downloadable!] (restricted)
  11. Pesendorfer, Martin, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 381-411, July.
  12. Baldwin, Laura H & Marshall, Robert C & Richard, Jean-Francois, 1997. "Bidder Collusion at Forest Service Timber Sales," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 657-99, August.
  13. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer. [Downloadable!] (restricted)
  14. Victor A. Ginsburgh, 1998. "Absentee Bidders and the Declining Price Anomaly in Wine Auctions," Journal of Political Economy, University of Chicago Press, vol. 106(6), pages 1302-1331, December. [Downloadable!] (restricted)
  15. Ours, J.C. van & Ginsburgh, V., 2003. "How to organize sequential auctions results of a natural experiment by Christie's," Discussion Paper 25, Tilburg University, Center for Economic Research. [Downloadable!]
  16. De Meyer, B. & Moussa Saley, H., 2000. "On the Strategic Origin of Brownian Motion in Finance," Papers 0057, Catholique de Louvain - Center for Operations Research and Economics.
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  17. 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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