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A Note On Discrete Bid First-Price Auction With General Value Distribution

Author

Listed:
  • GANGSHU (GEORGE) CAI

    (Department of Management, Kansas State University, Manhattan, KS 66506, USA)

  • PETER R. WURMAN

    (Kiva Systems, Inc., 225 Wildwood Avenue, Woburn, MA 01801, USA)

  • XITING GONG

    (Guanghua School of Management, Peking University, Beijing 100871, China)

Abstract

This paper evaluates the discrete bid first-price sealed-bid (FPSB) auction in a model with a general value distribution. We show that a symmetric Bayesian Nash equilibrium exists for the discrete bid FPSB auction. We further prove that the discrete bid FPSB equilibrium conditionally converges to that of a continuous bid FPSB auction.

Suggested Citation

  • Gangshu (George) Cai & Peter R. Wurman & Xiting Gong, 2010. "A Note On Discrete Bid First-Price Auction With General Value Distribution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 75-81.
    • Handle: RePEc:wsi:igtrxx:v:12:y:2010:i:01:n:s0219198910002520
    DOI: 10.1142/S0219198910002520
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    References listed on IDEAS

    as
    1. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    2. Hans Haller & Yvan Lengwiler, 1998. "A discrete model of discriminatory price auctions - an alternative to Menezes-Monteiro," Finance and Economics Discussion Series 1998-08, Board of Governors of the Federal Reserve System (U.S.).
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    Cited by:

    1. Itzhak Rasooly & Carlos Gavidia-Calderon, 2020. "The importance of being discrete: on the inaccuracy of continuous approximations in auction theory," Papers 2006.03016, arXiv.org, revised Aug 2022.
    2. Fugger, Nicolas & Gillen, Philippe & Rasch, Alexander & Zeppenfeld, Christopher, 2016. "Preferences and Decision Support in Competitive Bidding," VfS Annual Conference 2016 (Augsburg): Demographic Change 145849, Verein für Socialpolitik / German Economic Association.
    3. Mill, Wladislaw & Morgan, John, 2022. "Competition between friends and foes," European Economic Review, Elsevier, vol. 147(C).

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    More about this item

    Keywords

    First-price sealed-bid auction; discrete bid; Bayesian Nash equilibrium;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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