IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v73y2011i2p496-506.html
   My bibliography  Save this article

Second best efficiency and the English auction

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825611000716
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2011.04.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fieseler, Karsten & Kittsteiner, Thomas & Moldovanu, Benny, 2003. "Partnerships, lemons, and efficient trade," Journal of Economic Theory, Elsevier, vol. 113(2), pages 223-234, December.
    2. Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 784828000000000490, UCLA Department of Economics.
    3. Serkan Kucuksenel, 2012. "Interim efficient auctions with interdependent valuations," Journal of Economics, Springer, vol. 106(1), pages 83-93, May.
    4. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    5. Kirchkamp, Oliver & Moldovanu, Benny, 2004. "An experimental analysis of auctions with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 48(1), pages 54-85, July.
    6. Philippe Jehiel & Laurent Lamy, 2018. "A Mechanism Design Approach to the Tiebout Hypothesis," Journal of Political Economy, University of Chicago Press, vol. 126(2), pages 735-760.
    7. Che,Y.-K. & Kim,J., 2001. "Know thy enemies : knowledge of rivals' types and its effect on auctions," Working papers 9, Wisconsin Madison - Social Systems.
    8. Sushil Bikhchandani & Shurojit Chatterjee & Arunava Sen, 2004. "Incentive Compatibility in Multi-unit Auctions," Levine's Bibliography 122247000000000750, UCLA Department of Economics.
    9. M. Yenmez, 2015. "Incentive compatible market design with applications," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 543-569, August.
    10. Li, Yunan, 2017. "Approximation in mechanism design with interdependent values," Games and Economic Behavior, Elsevier, vol. 103(C), pages 225-253.
    11. Birulin, Oleksii & Izmalkov, Sergei, 2011. "On efficiency of the English auction," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1398-1417, July.
    12. Wang, Dazhong & Xu, Xinyi, 2022. "Optimal equity auction with interdependent valuations," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    13. Sergei Izmalkov, 2004. "Multi-Unit Open Ascending Price Efficient Auction," Working Papers 2004.91, Fondazione Eni Enrico Mattei.
    14. Eric Maskin, 2004. "The Unity of Auction Theory: Paul Milgrom's Masterclass," Economics Working Papers 0044, Institute for Advanced Study, School of Social Science.
    15. Kos, Nenad & Messner, Matthias, 2013. "Extremal incentive compatible transfers," Journal of Economic Theory, Elsevier, vol. 148(1), pages 134-164.
    16. Gärtner, Dennis L. & Schmutzler, Armin, 2009. "Merger negotiations and ex-post regret," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1636-1664, July.
    17. Hernando-Veciana, Angel & Michelucci, Fabio, 2018. "Inefficient rushes in auctions," Theoretical Economics, Econometric Society, vol. 13(1), January.
    18. repec:cte:werepe:we081207 is not listed on IDEAS
    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. Lawrence M. Ausubel & Peter Cramton & Paul Milgrom, 2012. "System and Method for a Hybrid Clock and Proxy Auction," Papers of Peter Cramton 12acmhc, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
    21. Bulow, Jeremy & Klemperer, Paul, 1994. "Rational Frenzies and Crashes," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 1-23, February.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:73:y:2011:i:2:p:496-506. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.