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Reserve price when bidders are asymmetric

Author

Listed:
  • Gunay, Hikmet
  • Meng, Xin
  • Nagelberg, Mark

Abstract

The authors analyze the optimal reserve price in a second price auction when there are N types of bidders whose valuations are drawn from different distribution functions. The seller cannot determine the specific type of each bidder. First, the authors show that the number of bidders affects the reserve price. Second, they give the sufficient conditions for the uniqueness of the optimal reserve price. Third, the authors find that if a bidder is replaced by a stronger bidder, the optimal reserve price may decrease. Finally, they give sufficient conditions that ensure the seller will not use a reserve price; hence, the auction will be efficient.

Suggested Citation

  • Gunay, Hikmet & Meng, Xin & Nagelberg, Mark, 2013. "Reserve price when bidders are asymmetric," Economics Discussion Papers 2013-19, Kiel Institute for the World Economy (IfW).
  • Handle: RePEc:zbw:ifwedp:201319
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    References listed on IDEAS

    as
    1. Krishnendu Ghosh Dastidar, 2010. "Auctions where incomes are private information and preferences (non quasi-linear) are common knowledge," ISER Discussion Paper 0790, Institute of Social and Economic Research, Osaka University.
    2. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    3. Menezes, Flavio M., 2008. "An Introduction to Auction Theory," OUP Catalogue, Oxford University Press, number 9780199275991.
    4. Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
    5. Kirkegaard, Rene, 2005. "Participation fees vs. reserve prices in auctions with asymmetric or colluding buyers," Economics Letters, Elsevier, vol. 89(3), pages 328-332, December.
    6. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    7. Levin, Dan & Smith, James L, 1996. "Optimal Reservation Prices in Auctions," Economic Journal, Royal Economic Society, vol. 106(438), pages 1271-1283, September.
    8. Rene Kirkegaard, 2011. "Ranking Asymmetric Auctions using the Dispersive Order," Working Papers 1101, University of Guelph, Department of Economics and Finance.
    9. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    10. Laffont, Jean-Jacques & Maskin, Eric, 1980. "Optimal reservation price in the Vickery auction," Economics Letters, Elsevier, vol. 6(4), pages 309-313.
    11. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
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    More about this item

    Keywords

    auction; reserve (reservation) price; asymmetric bidders;

    JEL classification:

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

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