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On efficiency of the English auction

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  • 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.

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  • 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
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    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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Hernando-Veciana, Ángel & Michelucci, Fabio, 2011. "Second best efficiency and the English auction," Games and Economic Behavior, Elsevier, vol. 73(2), pages 496-506.
    5. Wang, Dazhong & Xu, Xinyi, 2022. "Optimal equity auction with interdependent valuations," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    6. Fabio Michelucci, 2022. "Promoting Entry and Efficiency via Reserve Prices," Games, MDPI, vol. 13(4), pages 1-7, June.
    7. Barry O'Neill, 2006. "Nuclear Weapons and National Prestige," Cowles Foundation Discussion Papers 1560, Cowles Foundation for Research in Economics, Yale University.
    8. Sergei Izmalkov, 2004. "Multi-Unit Open Ascending Price Efficient Auction," Working Papers 2004.91, Fondazione Eni Enrico Mattei.
    9. 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.

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