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Symmetric Auctions

Author

Listed:
  • Rahul Deb
  • Mallesh Pai

Abstract

Practical or legal constraints often restrict auctions to being symmetric (anonymous and nondiscriminatory). We examine when this restriction prevents a seller from achieving his objectives. In an independent private value setting with heterogenous buyers, we characterize the set of incentive compatible and individually rational outcomes that can be implemented via a symmetric auction. We show that symmetric auctions can yield many discriminatory outcomes such as revenue maximization and affirmative action. We also characterize the set of implementable outcomes when individual rationality holds ex-post rather than in expectation. This additional requirement may prevent the seller from maximizing revenue.

Suggested Citation

  • Rahul Deb & Mallesh Pai, 2013. "Symmetric Auctions," Working Papers tecipa-486, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:tecipa-486
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    References listed on IDEAS

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    1. McAfee, R. Preston & McMillan, John, 1989. "Government procurement and international trade," Journal of International Economics, Elsevier, vol. 26(3-4), pages 291-308, May.
    2. Charles Zhoucheng Zheng, 2002. "Optimal Auction with Resale," Econometrica, Econometric Society, vol. 70(6), pages 2197-2224, November.
    3. Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
    4. Susan Athey & Dominic Coey & Jonathan Levin, 2013. "Set-Asides and Subsidies in Auctions," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 1-27, February.
    5. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 413-438.
    6. Ian Ayres & Peter Cramton, 1996. "Deficit Reduction Through Diversity: How Affirmative Action at the FCC Increased Auction Competition," Papers of Peter Cramton 96slr, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
    7. Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-1187, July.
    8. Bernard Caillaud & Jacques Robert, 2005. "Implementation of the revenue-maximizing auction by an ignorant seller," Review of Economic Design, Springer;Society for Economic Design, vol. 9(2), pages 127-143, April.
    9. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    10. 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.
    11. Mierendorff, Konrad, 2011. "Asymmetric reduced form Auctions," Economics Letters, Elsevier, vol. 110(1), pages 41-44, January.
    12. Jason D. Hartline, 2012. "Approximation in Mechanism Design," American Economic Review, American Economic Association, vol. 102(3), pages 330-336, May.
    13. Andrew Schotter & Allan Corns, 1999. "Can Affirmative Action Be Cost Effective? An Experimental Examination of Price-Preference Auctions," American Economic Review, American Economic Association, vol. 89(1), pages 291-305, March.
    14. Mallesh Pai & Rakesh Vohra, 2012. "Auction Design with Fairness Concerns: Subsidies vs. Set-Asides," Discussion Papers 1548, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Alejandro M. Manelli & Daniel R. Vincent, 2010. "Bayesian and Dominant‐Strategy Implementation in the Independent Private‐Values Model," Econometrica, Econometric Society, vol. 78(6), pages 1905-1938, November.
    16. Mares, Vlad & Swinkels, Jeroen M., 2011. "Near-optimality of second price mechanisms in a class of asymmetric auctions," Games and Economic Behavior, Elsevier, vol. 72(1), pages 218-241, May.
    17. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    18. René Kirkegaard, 2012. "A Mechanism Design Approach to Ranking Asymmetric Auctions," Econometrica, Econometric Society, vol. 80(5), pages 2349-2364, September.
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    More about this item

    Keywords

    symmetric auctions; implementation; indirect mechanisms; optimal auctions;
    All these keywords.

    JEL classification:

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

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