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Vickrey Auctions with Reserve Pricing

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Abstract

We generalize the Vickrey auction to allow for reserve pricing in a multiple item auction with interdependent values. By withholding quantity in some circumstances, the seller can improve revenues or mitigate collusion. In the Vickrey auction with reserve pricing, the seller determines the quantity to be made available as a function of the bidders' 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 where resale exhausts all the gains from trade among the bidders, the Vickrey auction with reserve pricing maximizes seller revenues.

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  • Lawrence M. Ausubel & Peter Cramton, 2004. "Vickrey Auctions with Reserve Pricing," Papers of Peter Cramton 99wpvic, University of Maryland, Department of Economics - Peter Cramton, revised 28 Jun 1999.
  • Handle: RePEc:pcc:pccumd:99wpvic
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    1. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1366-1400.
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    1. repec:eee:enepol:v:109:y:2017:i:c:p:685-693 is not listed on IDEAS
    2. Burtraw, Dallas & Palmer, Karen & Kahn, Danny, 2010. "A symmetric safety valve," Energy Policy, Elsevier, vol. 38(9), pages 4921-4932, September.
    3. 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.
    4. Ryuji Sano, 2015. "Improving Efficiency Using Reserve Prices: An Equilibrium Analysis of Core-Selecting Auctions," KIER Working Papers 926, Kyoto University, Institute of Economic Research.
    5. 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.
    6. O'Mahoney, Amy & Denny, Eleanor, 2013. "Electricity prices and generator behaviour in gross pool electricity markets," Energy Policy, Elsevier, vol. 63(C), pages 628-637.
    7. Vasin Alexander & Vasina Polina, 2005. "Models of supply functions competition with application to the network auctions," EERC Working Paper Series 05-03e, EERC Research Network, Russia and CIS.
    8. Andrés Pereyra, 2001. "Subasta de telefonía móvil: ¿una experiencia inconclusa en Uruguay?," Documentos de Trabajo (working papers) 0302, Department of Economics - dECON.
    9. Natalia Fabra & Nils‐Henrik Fehr & David Harbord, 2006. "Designing electricity auctions," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 23-46, March.
    10. Sara Castellanos, 2001. "Mexican treasury securities primary auctions," Theory workshop papers 357966000000000025, UCLA Department of Economics.
    11. Mukherjee, Conan, 2015. "On Axioms Underlying Use of Reserve Price," Working Papers 2015:7, Lund University, Department of Economics, revised 14 Apr 2015.
    12. 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.
    13. Neeman, Zvika & Pavlov, Gregory, 2013. "Ex post renegotiation-proof mechanism design," Journal of Economic Theory, Elsevier, vol. 148(2), pages 473-501.
    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. Hiroki Saitoh & Shigehiro Serizawa, 2008. "Vickrey allocation rule with income effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 391-401, May.
    16. M. Yenmez, 2014. "Pricing in position auctions and online advertising," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 243-256, January.
    17. Ollikka, Kimmo & Tukiainen, Janne, 2013. "Central bank liquidity auction mechanism design and the interbank market," Research Discussion Papers 21/2013, Bank of Finland.
    18. Anabela Botelho & Lígia 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.
    19. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
    20. Subir Bose & George Deltas, 2007. "Exclusive Versus Non-exclusive Dealing in Auctions with Resale," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 1-17, April.
    21. Jesse A. Schwartz & Quan Wen, 2008. "A Revelation Principle for Dominant Strategy Implementation," Vanderbilt University Department of Economics Working Papers 0819, Vanderbilt University Department of Economics.
    22. 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.
    23. Lawrence Ausubel, 2000. "A Generalized Vickrey Auction," Econometric Society World Congress 2000 Contributed Papers 1257, Econometric Society.
    24. Toyotaka Sakai, 2013. "Axiomatizations of second price auctions with a reserve price," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(3), pages 255-265, September.
    25. Hummel, Patrick, 2016. "Position auctions with dynamic resizing," International Journal of Industrial Organization, Elsevier, vol. 45(C), pages 38-46.

    More about this item

    Keywords

    Auctions; Vickrey Auctions; Multiple Item Auctions; Resale;

    JEL classification:

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

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