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Unraveling of Value-Rankings in Auctions with Resale

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  • Sanyyam Khurana

    (Department of Economics, Delhi School of Economics)

Abstract

Consider a single-unit auction with resale and two risk neutral bidders. The ranking of the valuations is known to both the bidders—that is, the bidders know the identity of the highest and lowest valuation bidders. We show that, with the revelation of value-rankings, the classic result of “bid symmetrization” does not hold. Surprisingly, the bidder with the lowest valuation produces a stronger bid distribution than the bidder with the highest valuation. We also show that the revelation of value-rankings in auctions with resale asymmetrizes the bidding strategies. Finally, under restrictive assumptions, we compare seller’s and bidders’ ranking of a first-price and second-price auction.

Suggested Citation

  • Sanyyam Khurana, 2020. "Unraveling of Value-Rankings in Auctions with Resale," Working papers 308, Centre for Development Economics, Delhi School of Economics.
  • Handle: RePEc:cde:cdewps:308
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    References listed on IDEAS

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    1. Hafalir, Isa & Krishna, Vijay, 2009. "Revenue and efficiency effects of resale in first-price auctions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 589-602, September.
    2. Isa Hafalir & Vijay Krishna, 2008. "Asymmetric Auctions with Resale," American Economic Review, American Economic Association, vol. 98(1), pages 87-112, March.
    3. Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
    4. Harrison Cheng & Guofu Tan, 2010. "Asymmetric common-value auctions with applications to private-value auctions with resale," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 253-290, October.
    5. 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.
    6. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    7. Bernard Lebrun, 2010. "First‐price auctions with resale and with outcomes robust to bid disclosure," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 165-178, March.
    8. Gábor Virág, 2013. "First-price auctions with resale: the case of many bidders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 129-163, January.
    9. Virág, Gábor, 2016. "Auctions with resale: Reserve prices and revenues," Games and Economic Behavior, Elsevier, vol. 99(C), pages 239-249.
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    More about this item

    JEL classification:

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

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