IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v146y2011i4p1398-1417.html
   My bibliography  Save this article

On efficiency of the English auction

Author

Listed:
  • Birulin, Oleksii
  • Izmalkov, Sergei

Abstract

We study efficiency properties of the irrevocable exit English auction in a setting with interdependent values. Maskin (1992) [1] shows that the pairwise single-crossing condition is sufficient for efficiency of the English auction with two bidders and suggests that it is also a necessary condition. This paper clarifies and extends Maskin[modifier letter apostrophe]s results to the case of N bidders. We introduce the generalized single-crossing condition--a fairly intuitive extension of the pairwise single-crossing condition--and prove that it is essentially a necessary and sufficient condition for the existence of an efficient equilibrium of the N-bidder English auction.

Suggested Citation

  • Birulin, Oleksii & Izmalkov, Sergei, 2011. "On efficiency of the English auction," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1398-1417, July.
    • Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1398-1417
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053111000755
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-1259, September.
    3. Motty Perry & Philip J. Reny, 2002. "An Efficient Auction," Econometrica, Econometric Society, vol. 70(3), pages 1199-1212, May.
    4. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    5. Porter, Robert H, 1995. "The Role of Information in U.S. Offshore Oil and Gas Lease Auctions," Econometrica, Econometric Society, vol. 63(1), pages 1-27, January.
    6. 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.
    7. Krishna, Vijay, 2003. "Asymmetric English auctions," Journal of Economic Theory, Elsevier, vol. 112(2), pages 261-288, October.
    8. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(2), pages 341-388.
    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. Dirk Bergemann & Stephen Morris, 2006. "Robust Implementation: The Case of Direct Mechanisms"," Cowles Foundation Discussion Papers 1561R, Cowles Foundation for Research in Economics, Yale University, revised May 2007.
    2. 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.
    3. Wang, Dazhong & Xu, Xinyi, 2022. "Optimal equity auction with interdependent valuations," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    4. Fabio Michelucci, 2022. "Promoting Entry and Efficiency via Reserve Prices," Games, MDPI, vol. 13(4), pages 1-7, June.
    5. Barry O'Neill, 2006. "Nuclear Weapons and National Prestige," Cowles Foundation Discussion Papers 1560, Cowles Foundation for Research in Economics, Yale University.
    6. Hu, Audrey & Matthews, Steven A. & Zou, Liang, 2018. "English auctions with ensuing risks and heterogeneous bidders," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 33-44.
    7. Michael Peters & Sergei Severinov, 2008. "An ascending double auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 281-306, November.
    8. Hernando-Veciana, Ángel & Michelucci, Fabio, 2011. "Second best efficiency and the English auction," Games and Economic Behavior, Elsevier, vol. 73(2), pages 496-506.
    9. Sergei Izmalkov, 2004. "Multi-Unit Open Ascending Price Efficient Auction," Working Papers 2004.91, Fondazione Eni Enrico Mattei.

    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. Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    2. Hernando-Veciana, Ángel & Michelucci, Fabio, 2011. "Second best efficiency and the English auction," Games and Economic Behavior, Elsevier, vol. 73(2), pages 496-506.
    3. Sergei Izmalkov, 2004. "Multi-Unit Open Ascending Price Efficient Auction," Working Papers 2004.91, Fondazione Eni Enrico Mattei.
    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. 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.
    7. Fieseler, Karsten & Kittsteiner, Thomas & Moldovanu, Benny, 2003. "Partnerships, lemons, and efficient trade," Journal of Economic Theory, Elsevier, vol. 113(2), pages 223-234, December.
    8. Levin, Dan & Peck, James & Ye, Lixin, 2007. "Bad news can be good news: Early dropouts in an English auction with multi-dimensional signals," Economics Letters, Elsevier, vol. 95(3), pages 462-467, June.
    9. Li, Yunan, 2017. "Approximation in mechanism design with interdependent values," Games and Economic Behavior, Elsevier, vol. 103(C), pages 225-253.
    10. Gärtner, Dennis L. & Schmutzler, Armin, 2009. "Merger negotiations and ex-post regret," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1636-1664, July.
    11. Choi, Syngjoo & Guerra, José-Alberto & Kim, Jinwoo, 2019. "Interdependent value auctions with insider information: Theory and experiment," Games and Economic Behavior, Elsevier, vol. 117(C), pages 218-237.
    12. Wang, Dazhong & Xu, Xinyi, 2022. "Optimal equity auction with interdependent valuations," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    13. Theo Offerman, 2002. "Efficiency in Auctions with Private and Common Values: An Experimental Study," American Economic Review, American Economic Association, vol. 92(3), pages 625-643, June.
    14. Krishna, Vijay, 2003. "Asymmetric English auctions," Journal of Economic Theory, Elsevier, vol. 112(2), pages 261-288, October.
    15. Oleksii Birulin & Sergei Izmalkov, 2009. "On Effciency of the English Auction," Working Papers w0139, New Economic School (NES).
    16. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
    17. Eric Maskin, 2004. "The Unity of Auction Theory: Paul Milgrom's Masterclass," Economics Working Papers 0044, Institute for Advanced Study, School of Social Science.
    18. Kim, Jinwoo & Che, Yeon-Koo, 2004. "Asymmetric information about rivals' types in standard auctions," Games and Economic Behavior, Elsevier, vol. 46(2), pages 383-397, February.
    19. Jacob K. Goeree & Theo Offerman, 2003. "Competitive Bidding in Auctions with Private and Common Values," Economic Journal, Royal Economic Society, vol. 113(489), pages 598-613, July.
    20. Hernando-Veciana, Angel & Michelucci, Fabio, 2018. "Inefficient rushes in auctions," Theoretical Economics, Econometric Society, vol. 13(1), January.

    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:jetheo:v:146:y:2011:i:4:p:1398-1417. 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/622869 .

    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.