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Second best efficiency and the English auction

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  • Hernando-Veciana, Ángel
  • Michelucci, Fabio

Abstract

We study the second best in a single unit sale to two bidders. This is the allocation that maximizes the expected social surplus subject to the biddersʼ incentive compatible constraints when the first best is not implementable. We prove that Maskinʼs (1992) result that any first best allocation that is deterministic and monotone can be implemented with the English auction carries over to the second best.

Suggested Citation

  • Hernando-Veciana, Ángel & Michelucci, Fabio, 2011. "Second best efficiency and the English auction," Games and Economic Behavior, Elsevier, vol. 73(2), pages 496-506.
    • Handle: RePEc:eee:gamebe:v:73:y:2011:i:2:p:496-506
    DOI: 10.1016/j.geb.2011.04.003
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    References listed on IDEAS

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    1. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-1259, September.
    2. Birulin, Oleksii & Izmalkov, Sergei, 2011. "On efficiency of the English auction," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1398-1417, July.
    3. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, University Library of Munich, Germany, revised 28 Apr 1998.
    4. Motty Perry & Philip J. Reny, 2002. "An Efficient Auction," Econometrica, Econometric Society, vol. 70(3), pages 1199-1212, May.
    5. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    6. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    7. Motty Perry & Philip J. Reny, 2005. "An Efficient Multi-Unit Ascending Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 567-592.
    8. Dubra, Juan & Echenique, Federico & Manelli, Alejandro M., 2009. "English auctions and the Stolper-Samuelson theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 825-849, March.
    9. Krishna, Vijay, 2003. "Asymmetric English auctions," Journal of Economic Theory, Elsevier, vol. 112(2), pages 261-288, October.
    10. Jeffrey C. Ely & Kim-Sau Chung, 2002. "Ex-Post Incentive Compatible Mechanism Design," Discussion Papers 1339, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    12. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(2), pages 341-388.
    13. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    14. Steven R. Williams, 1999. "A characterization of efficient, bayesian incentive compatible mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 155-180.
    15. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    16. Ángel Hernando Veciana & Fabio Michelucci, 2008. "Second Best Efficiency in Auctions," Working Papers. Serie AD 2008-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    17. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
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    Citations

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    Cited by:

    1. Angel Hernando-Veciana & Fabio Michelucci, 2013. "Do Not Panic: How to Avoid Inefficient Rushes Using Multi-Stage Auctions," CERGE-EI Working Papers wp489, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    2. Hernando-Veciana, Ángel & Tröge, Michael, 2011. "The insider's curse," Games and Economic Behavior, Elsevier, vol. 71(2), pages 339-350, March.
    3. Jan Boone & Jacob K. Goeree, 2009. "Optimal Privatisation Using Qualifying Auctions," Economic Journal, Royal Economic Society, vol. 119(534), pages 277-297, January.
    4. Goeree, Jacob K. & Kushnir, Alexey, 2016. "Reduced form implementation for environments with value interdependencies," Games and Economic Behavior, Elsevier, vol. 99(C), pages 250-256.
    5. David Ettinger & Fabio Michelucci, 2016. "Hiding Information in Open Auctions with Jump Bids," Economic Journal, Royal Economic Society, vol. 126(594), pages 1484-1502, August.
    6. Hernando-Veciana, Ángel & Michelucci, Fabio, 2014. "On the optimality of not allocating," Economics Letters, Elsevier, vol. 125(2), pages 233-235.
    7. Alex Gershkov & Jacob K. Goeree & Alexey Kushnir & Benny Moldovanu & Xianwen Shi, 2013. "On the Equivalence of Bayesian and Dominant Strategy Implementation," Econometrica, Econometric Society, vol. 81(1), pages 197-220, January.
    8. Fabio Michelucci, 2022. "Promoting Entry and Efficiency via Reserve Prices," Games, MDPI, vol. 13(4), pages 1-7, June.
    9. Hernando-Veciana, Ángel & Michelucci, Fabio, 2017. "On the efficiency of the first price auction," Economics Letters, Elsevier, vol. 156(C), pages 159-161.
    10. Jacob K. Goeree & Alexey Kushnir, 2011. "A geometric approach to mechanism design," ECON - Working Papers 056, Department of Economics - University of Zurich, revised Jun 2013.

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    More about this item

    Keywords

    Efficiency; Auctions; Mechanism design;
    All these keywords.

    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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