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On second-price auctions and imperfect competition

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  • Schmitz, Patrick W.

Abstract

Consider two sellers each of whom has one unit of an indivisible good and two buyers each of whom is interested in buying one unit. The sellers simultaneously set reserve prices and use second price auctions as rationing device. An equilibrium in pure strategies where each sellers has a regular customer is characterized. The result is applied in order to demonstrate that not allowing sellers to use second price auctions may enhance total surplus.
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Suggested Citation

  • Schmitz, Patrick W., 2003. "On second-price auctions and imperfect competition," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 901-909, November.
  • Handle: RePEc:eee:mateco:v:39:y:2003:i:8:p:901-909
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    References listed on IDEAS

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    1. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    2. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    4. Gianni De Fraja & Jozsef Sakovics, 2001. "Walras Retrouve: Decentralized Trading Mechanisms and the Competitive Price," Journal of Political Economy, University of Chicago Press, vol. 109(4), pages 842-863, August.
    5. Page, Frank Jr. & Monteiro, Paulo K., 2003. "Three principles of competitive nonlinear pricing," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 63-109, February.
    6. Coles, Melvyn G, 1999. "Turnover Externalities with Marketplace Trading," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 851-868, November.
    7. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    8. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    9. Wang, Ruqu, 1993. "Auctions versus Posted-Price Selling," American Economic Review, American Economic Association, vol. 83(4), pages 838-851, September.
    10. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    11. Burguet, Roberto & Sakovics, Jozsef, 1999. "Imperfect Competition in Auction Designs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 231-247, February.
    12. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    13. Steven A. Matthews, 1995. "A Technical Primer on Auction Theory I: Independent Private Values," Discussion Papers 1096, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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    Cited by:

    1. Richard Dutu & Benoit Julien & Ian King, 2009. "Liquidity Constrained Competing Auctions," Department of Economics - Working Papers Series 1068, The University of Melbourne.
    2. Lester, Benjamin & Visschers, Ludo & Wolthoff, Ronald, 2017. "Competing with asking prices," Theoretical Economics, Econometric Society, vol. 12(2), May.
    3. Deltas, George & Jeitschko, Thomas D., 2007. "Auction hosting site pricing and market equilibrium with endogenous bidder and seller participation," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1190-1212, December.
    4. Schmitz, Patrick W., 2004. "Job protection laws and agency problems under asymmetric information," European Economic Review, Elsevier, vol. 48(5), pages 1027-1046, October.

    More about this item

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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