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Optimal Mechanisms for an Auction Mediator

Author

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  • Alexander Matros

    () (University of South Carolina)

  • Andriy Zapechelnyuk

    (Queen Mary, University of London)

Abstract

We consider a dynamic auction environment with a long-lived seller and short-lived buyers mediated by a third party. A mediator has incomplete information about traders' values and selects an auction mechanism to maximize her expected revenue. We characterize mediator-optimal mechanisms and show that an optimal mechanism has a simple implementation as a Vickrey auction with a reserve price where the seller pays to the mediator only a fixed percentage from the closing price.

Suggested Citation

  • Alexander Matros & Andriy Zapechelnyuk, 2010. "Optimal Mechanisms for an Auction Mediator," Working Papers 670, Queen Mary University of London, School of Economics and Finance.
  • Handle: RePEc:qmw:qmwecw:wp670
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    File URL: http://www.econ.qmul.ac.uk/media/econ/research/workingpapers/archive/wp670.pdf
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    References listed on IDEAS

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    1. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
    2. Mark Armstrong, 2006. "Competition in two‐sided markets," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 668-691, September.
    3. Haile, Philip A., 2000. "Partial Pooling at the Reserve Price in Auctions with Resale Opportunities," Games and Economic Behavior, Elsevier, vol. 33(2), pages 231-248, November.
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    6. Subir Bose & George Deltas, 2007. "Exclusive Versus Non-exclusive Dealing in Auctions with Resale," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 1-17, April.
    7. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    8. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    9. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-1115, September.
    10. Rod Garratt & Thomas Tröger, 2006. "Speculation in Standard Auctions with Resale," Econometrica, Econometric Society, vol. 74(3), pages 753-769, May.
    11. Marco Pagnozzi, 2007. "Bidding to lose? Auctions with resale," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1090-1112, December.
    12. Philip A. Haile, 2001. "Auctions with Resale Markets: An Application to U.S. Forest Service Timber Sales," American Economic Review, American Economic Association, vol. 91(3), pages 399-427, June.
    13. Jullien, B. & Mariotti, T., 2006. "Auction and the informed seller problem," Games and Economic Behavior, Elsevier, vol. 56(2), pages 225-258, August.
    14. Horstmann, Ignatius J & LaCasse, Chantale, 1997. "Secret Reserve Prices in a Bidding Model with a Resale Option," American Economic Review, American Economic Association, vol. 87(4), pages 663-684, September.
    15. Giacomo Calzolari & Alessandro Pavan, 2006. "Monopoly with resale," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 362-375, June.
    16. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January.
    17. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    18. Gupta, Madhurima & Lebrun, Bernard, 1999. "First price auctions with resale," Economics Letters, Elsevier, vol. 64(2), pages 181-185, August.
    19. Alexander Matros & Andriy Zapechelnyuk, 2008. "Optimal fees in internet auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 12(3), pages 155-163, September.
    20. Charles Zhoucheng Zheng, 2002. "Optimal Auction with Resale," Econometrica, Econometric Society, vol. 70(6), pages 2197-2224, November.
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    Citations

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    Cited by:

    1. Simon Loertscher & Andras Niedermayer, 2008. "Fee Setting Intermediaries: On Real Estate Agents, Stock Brokers, and Auction Houses," Discussion Papers 1472, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Wataru Tamura, 2013. "Auction Platform Design and the Linkage Principle," CARF F-Series CARF-F-330, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Wataru Tamura, 2016. "Auction Platform Design and the Linkage Principle," Journal of Industrial Economics, Wiley Blackwell, vol. 64(2), pages 201-225, June.

    More about this item

    Keywords

    Optimal mechanism; Vickrey auction; Mediator;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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