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Declining Valuations in Sequential Auctions

Author

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  • Thomas Kittsteiner
  • Jorg Nikutta
  • Eyal Winter

Abstract

We analyze an independent private values model where a number of objects are sold in sequential first- and second-price auctions. Bidders have unit demand and their valuation for an object is decreasing in the rank number of the auction in which it is sold. We derive efficient equilibria if prices are announced after each auction or if no information is given to bidders. We show that the sequence of prices constitutes a supermartingale. Even if we correct for the decrease in valuations for objects sold in later auctions we find that average prices are declining.

Suggested Citation

  • Thomas Kittsteiner & Jorg Nikutta & Eyal Winter, 2004. "Declining Valuations in Sequential Auctions," Discussion Paper Series dp385, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp385
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    Cited by:

    1. Bruno Larue & Mohamed Jeddy & Sébastien Pouliot, 2013. "On the Number of Bidders and Auction Performance: when More Means Less," Cahiers de recherche CREATE 2013-4, CREATE.
    2. Said, Maher, 2012. "Auctions with dynamic populations: Efficiency and revenue maximization," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2419-2438.
    3. Stéphanie Vincent Lyk-Jensen & Olivier Chanel, 2007. "Retailers and consumers in sequential auctions of collectibles," Canadian Journal of Economics, Canadian Economics Association, vol. 40(1), pages 278-295, February.
    4. Muramoto, Akitoshi & Sano, Ryuji, 2016. "Sequential auctions of heterogeneous objects," Economics Letters, Elsevier, vol. 149(C), pages 49-51.
    5. Paul Schweinzer, 2008. "Labour market recruiting with intermediaries," Review of Economic Design, Springer;Society for Economic Design, vol. 12(2), pages 119-127, June.
    6. Duane W. Rockerbie, 2009. "Strategic Free Agency in Baseball," Journal of Sports Economics, , vol. 10(3), pages 278-291, June.
    7. Schweinzer, Paul, 2006. "Labour market screening with intermediaries," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 138, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    8. Kannan, Karthik N., 2010. "Declining prices in sequential auctions with complete revelation of bids," Economics Letters, Elsevier, vol. 108(1), pages 49-51, July.
    9. Emmanuel LORENZON, 2020. "Uninformed Bidding in Sequential Auctions," Bordeaux Economics Working Papers 2020-20, Bordeaux School of Economics (BSE).
    10. Hanzhe Zhang, 2021. "Prices versus auctions in large markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1297-1337, November.
    11. Ghosh, Gagan & Liu, Heng, 2021. "Sequential auctions with ambiguity," Journal of Economic Theory, Elsevier, vol. 197(C).
    12. Fanqi Shi & Yiqing Xing, 2022. "Implementing optimal outcomes through sequential auctions," RAND Journal of Economics, RAND Corporation, vol. 53(4), pages 703-732, December.
    13. Bougt, Daniel & Ghosh, Gagan & Liu, Heng, 2023. "Identification of interdependent values in sequential first-price auctions," International Journal of Industrial Organization, Elsevier, vol. 91(C).
    14. Said, Maher, 2008. "Information Revelation and Random Entry in Sequential Ascending Auctions," MPRA Paper 7160, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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