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Private Information in Sequential Common-Value Auctions

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  • Johannes Horner
  • Julian Jamison
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    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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    Bibliographic Info

    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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    References

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    1. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
    2. 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.
    3. Shlomit Hon-Snir & Dov Monderer & Aner Sela, 1996. "A Learning Approach to Auctions," Game Theory and Information 9610004, EconWPA, revised 07 Oct 1996.
    4. R. Preston McAfee & Daniel Vincent, 1994. "Sequentially Optimal Auctions," Discussion Papers 1104, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Hart, Oliver D & Tirole, Jean, 1988. "Contract Renegotiation and Coasian Dynamics," Review of Economic Studies, Wiley Blackwell, vol. 55(4), pages 509-40, October.
    6. Hadiza Moussa Saley & Bernard De Meyer, 2003. "On the strategic origin of Brownian motion in finance," International Journal of Game Theory, Springer, vol. 31(2), pages 285-319.
    7. 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.
    8. Donald B. Hausch, 1986. "Multi-Object Auctions: Sequential vs. Simultaneous Sales," Management Science, INFORMS, vol. 32(12), pages 1599-1610, December.
    9. Freixas, Xavier & Guesnerie, Roger & Tirole, Jean, 1985. "Planning under Incomplete Information and the Ratchet Effect," Review of Economic Studies, Wiley Blackwell, vol. 52(2), pages 173-91, April.
    10. 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.
    11. Ginsburgh, V. & Ours, J.C. van, 2003. "How to Organize Sequential Auctions: Results of a Natural Experiment by Christie's," Discussion Paper 2003-25, Tilburg University, Center for Economic Research.
    12. Caillaud, Bernard & Mezzetti, Claudio, 2004. "Equilibrium reserve prices in sequential ascending auctions," Journal of Economic Theory, Elsevier, vol. 117(1), pages 78-95, July.
    13. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    14. Maskin, Eric & Riley, John, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 439-54, July.
    15. 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.
    16. Raviv, Yaron, 2006. "New Evidence on Price Anomalies in Sequential Auctions: Used Cars in New Jersey," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 301-312, July.
    17. GINSBURGH, Victor, . "Absentee bidders and the declining price anomaly in wine auctions," CORE Discussion Papers RP -1364, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November.
    19. Pesendorfer, Martin, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 381-411, July.
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