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Auctions with Options to Re-auction

Author

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  • Grant, S.

    (Tilburg University, Center For Economic Research)

  • Kajii, A.
  • Menezes, F.
  • Ryan, M.

Abstract

A seller has one unit to sell using an English auction mechanism similar to internet auction markets, such as eBay. Bidders appear according to a random arrival process. The seller chooses a reserve price and duration for each auction. If the reserve is not met, the seller passes in the object and conducts another auction with a new, randomly chosen, set of bidders. We distinguish reserves that embody an institutional commitment not to sell below that price, from those that do not. In each case, we find the optimal reserve price and the optimal auction duration. Without price commitment, the equilibrium reserve is too low for allocative efficiency, whereas the optimal reserve with commitment is shown to be too high when the distribution of bidder valuations exhibits an increasing hazard rate. It might even be socially preferable to allow reserve price commitments. With respect to duration, a version of the Diamond paradox afflicts sellers who cannot commit to price; auctions facilitate valuable duration commitments that increase buyer competition and raise expected revenue. With commitment, price posting (equivalent to a zero‐length auction) is the dominant selling mechanism.
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Suggested Citation

  • Grant, S. & Kajii, A. & Menezes, F. & Ryan, M., 2002. "Auctions with Options to Re-auction," Discussion Paper 2002-55, Tilburg University, Center for Economic Research.
  • Handle: RePEc:tiu:tiucen:78aa0364-9221-4f88-963d-dde61fcfa0f0
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    References listed on IDEAS

    as
    1. Stanley Reynolds & John Wooders, 2009. "Auctions with a buy price," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 9-39, January.
    2. Wang, Ruqu, 1993. "Auctions versus Posted-Price Selling," American Economic Review, American Economic Association, vol. 83(4), pages 838-851, September.
    3. 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 663-684, September.
    4. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January.
    5. 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.
    6. 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.
    7. repec:bla:jindec:v:48:y:2000:i:3:p:227-52 is not listed on IDEAS
    8. 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.
    9. 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.
    10. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    11. Vincent Daniel R., 1995. "Bidding Off the Wall: Why Reserve Prices May Be Kept Secret," Journal of Economic Theory, Elsevier, vol. 65(2), pages 575-584, April.
    12. Simon Grant & Atsushi Kajii & Flavio Menezes & Matthew J. Ryan, 2006. "Auctions with options to re‐auction," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(1), pages 17-39, March.
    13. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    14. 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.
    15. Indranil Chakraborty & Georgia Kosmopoulou, 2004. "Auctions with shill bidding," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 271-287, August.
    16. Menezes, Flavio M., 2008. "An Introduction to Auction Theory," OUP Catalogue, Oxford University Press, number 9780199275991.
    17. 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.
    18. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    19. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, September.
    20. Burguet, Roberto & Sakovics, Jozsef, 1996. "Reserve Prices without Commitment," Games and Economic Behavior, Elsevier, vol. 15(2), pages 149-164, August.
    21. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    22. 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, September.
    23. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    24. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-599, June.
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    Cited by:

    1. Octavian Carare, 2012. "Reserve Prices in Repeated Auctions," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 40(3), pages 225-247, May.
    2. Onur A. Koska & Frank Stähler, 2017. "When should bidders learn reserve prices?," ERC Working Papers 1712, ERC - Economic Research Center, Middle East Technical University, revised Oct 2017.
    3. Flávio Menezes & Matthew Ryan, 2009. "Coasian dynamics in repeated English auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 349-366, November.
    4. Glowicka, Ela & Beck, Jonathan, 2006. "A note on reserve price commitments in the Vickrey auction," MPRA Paper 6669, University Library of Munich, Germany.
    5. Eda Gülşen & Erdal Özmen, 2017. "Monetary Policy Trilemma, Inflation Targeting And Global Financial Crisis," ERC Working Papers 1714, ERC - Economic Research Center, Middle East Technical University, revised Nov 2017.
    6. Onur A. Koska & Frank Stähler, 2022. "Reserve Prices as Signals," CESifo Working Paper Series 9581, CESifo.
    7. Simon Grant & Atsushi Kajii & Flavio Menezes & Matthew J. Ryan, 2006. "Auctions with options to re‐auction," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(1), pages 17-39, March.
    8. 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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    More about this item

    Keywords

    auctions; bidding; internet;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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