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Vickrey auctions with reserve pricing

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  • Lawrence Ausubel

    ()

  • Peter Cramton

    ()

Abstract

We generalize the Vickrey auction to allow for reserve pricing in a multi-unit auction with interdependent values. In the Vickrey auction with reserve pricing, the seller determines the quantity to be made available as a function of the bidders' reports of private information, and then efficiently allocates this quantity among the bidders. Truthful bidding is a dominant strategy with private values and an ex post equilibrium with interdependent values. If the auction is followed by resale, then truthful bidding remains an equilibrium in the auction-plus-resale game. In settings with perfect resale, the Vickrey auction with reserve pricing maximizes seller revenues. Copyright Springer-Verlag Berlin/Heidelberg 2004

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 23 (2004)
Issue (Month): 3 (March)
Pages: 493-505

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Handle: RePEc:spr:joecth:v:23:y:2004:i:3:p:493-505

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Keywords: Auctions; Vickrey auctions; Multi-unit auctions; Reserve price; Resale.;

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References

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  1. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
  2. Lawrence M. Ausubel & Peter Cramton, 1998. "The Optimality of Being Efficient," Papers of Peter Cramton 98wpoe, University of Maryland, Department of Economics - Peter Cramton, revised 18 Jun 1999.
  3. P. Dasgupta & Eric Maskin, 1998. "Efficient Auctions," Harvard Institute of Economic Research Working Papers 1857, Harvard - Institute of Economic Research.
  4. Yvan Lengwiler, 1999. "The multiple unit auction with variable supply," Economic Theory, Springer, vol. 14(2), pages 373-392.
  5. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  6. Lawrence M. Ausubel & Peter Cramton, 1995. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Papers of Peter Cramton 98wpdr, University of Maryland, Department of Economics - Peter Cramton, revised 22 Jul 2002.
  7. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-64.
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Citations

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Cited by:
  1. Natalia Fabra & Nils-Henrik von der Fehr & David Harbord, 2002. "Designing Electricity Auctions," Microeconomics 0211017, EconWPA, revised 31 Aug 2003.
  2. Subir Bose & George Deltas, 2007. "Exclusive Versus Non-exclusive Dealing in Auctions with Resale," Economic Theory, Springer, vol. 31(1), pages 1-17, April.
  3. Anabela Botelho & Lígia M.Costa Pinto & Eduarda Fernandes, 2013. "More on the dynamic Vickrey mechanism for multi-unit auctions: an experimental study on the emission permits initial auction," NIMA Working Papers 53, Núcleo de Investigação em Microeconomia Aplicada (NIMA), Universidade do Minho.
  4. Sara Castellanos, 2001. "A New Empirical Study of the Mexican Treasury Securities Primary Auctions: Is there more underpricing?," Levine's Working Paper Archive 625018000000000206, David K. Levine.
  5. M. Yenmez, 2014. "Pricing in position auctions and online advertising," Economic Theory, Springer, vol. 55(1), pages 243-256, January.
  6. Burtraw, Dallas & Palmer, Karen & Kahn, Danny, 2010. "A symmetric safety valve," Energy Policy, Elsevier, vol. 38(9), pages 4921-4932, September.
  7. Hiroki Saitoh & Shigehiro Serizawa, 2008. "Vickrey allocation rule with income effect," Economic Theory, Springer, vol. 35(2), pages 391-401, May.
  8. Andrés Pereyra, 2001. "Subasta de telefonía móvil: ¿una experiencia inconclusa en Uruguay?," Documentos de Trabajo (working papers) 0302, Department of Economics - dECON.
  9. Ning Sun & Zaifu Yang, 2014. "An Efficient and Incentive Compatible Dynamic Auction for Multiple Complements," Discussion Papers 14/06, Department of Economics, University of York.
  10. O'Mahoney, Amy & Denny, Eleanor, 2011. "Electricity Prices and Generator Behaviour in Gross Pool Electricity Markets," MPRA Paper 34847, University Library of Munich, Germany.
  11. Longstaff, Francis A & Han, Bing & Merrill, Craig, 2004. "Revenue Implications of Multi-Item Multi-Unit Auction Designs: Empirical Evidence from the U.S. Treasury Buyback Auctions," University of California at Los Angeles, Anderson Graduate School of Management qt7344v866, Anderson Graduate School of Management, UCLA.
  12. Ollikka, Kimmo & Tukiainen , Janne, 2013. "Central bank liquidity auction mechanism design and the interbank market," Research Discussion Papers 21/2013, Bank of Finland.
  13. Lawrence M. Ausubel & Peter Cramton, 1998. "The Optimality of Being Efficient," Papers of Peter Cramton 98wpoe, University of Maryland, Department of Economics - Peter Cramton, revised 18 Jun 1999.
  14. Lawrence M. Ausubel & Peter Cramton, 2004. "Auctioning Many Divisible Goods," Journal of the European Economic Association, MIT Press, vol. 2(2-3), pages 480-493, 04/05.
  15. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
  16. Neeman, Zvika & Pavlov, Gregory, 2013. "Ex post renegotiation-proof mechanism design," Journal of Economic Theory, Elsevier, vol. 148(2), pages 473-501.
  17. Lawrence Ausubel, 2000. "A Generalized Vickrey Auction," Econometric Society World Congress 2000 Contributed Papers 1257, Econometric Society.
  18. Sara Castellanos, 2001. "Mexican treasury securities primary auctions," Theory workshop papers 357966000000000025, UCLA Department of Economics.

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