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Uniqueness of the Equilibrium in First-Price Auctions

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  • Bernard Lebrun

    (Department of Economics, York University)

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    Abstract

    If the value cumulative distribution functions are log-concave at the highest lower extremity of their supports of the first-price auction in the asymmetric indepent private values model.

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    File URL: http://dept.econ.yorku.ca/research/workingPapers/working_papers/2004/lebrunb-u.pdf
    File Function: First version, 2004
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    Bibliographic Info

    Paper provided by York University, Department of Economics in its series Discussion Papers with number 1.

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    Length: 48 pages
    Date of creation: May 2004
    Date of revision: May 2004
    Handle: RePEc:yca:dpaper:2004_02

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    1. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
    2. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
    3. Robert H. Porter & J. Douglas Zona, 1997. "Ohio School Milk Markets: An Analysis of Bidding," NBER Working Papers 6037, National Bureau of Economic Research, Inc.
    4. Kenneth HENDRICKS & Robert H. PORTER, 1989. "Collusion in Auctions," Annales d'Economie et de Statistique, ENSAE, issue 15-16, pages 217-230.
    5. Athey, S., 1997. "Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Working papers 97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
    6. An, Mark Yuying, 1995. "Logconcavity versus Logconvexity: A Complete Characterization," Working Papers 95-03, Duke University, Department of Economics.
    7. Bagnoli, M. & Bergstrom, T., 1989. "Log-Concave Probability And Its Applications," Papers 89-23, Michigan - Center for Research on Economic & Social Theory.
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    Cited by:
    1. Bernard Lebrun, 2006. "Auctions with Almost Homogeneous Bidders," Working Papers 2006_7, York University, Department of Economics.

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