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An elementary proof of the common maximal bid in asymmetric first-price and all-pay auctions

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  • Fibich, Gadi
  • Oren, Gal

Abstract

We prove that the maximal bid in asymmetric first-price and all-pay auctions is the same for all bidders. Our proof is elementary, and does not require that bidders are risk neutral, or that the distribution functions of their valuations are independent or smooth.

Suggested Citation

  • Fibich, Gadi & Oren, Gal, 2014. "An elementary proof of the common maximal bid in asymmetric first-price and all-pay auctions," Economics Letters, Elsevier, vol. 122(2), pages 190-191.
    • Handle: RePEc:eee:ecolet:v:122:y:2014:i:2:p:190-191
    DOI: 10.1016/j.econlet.2013.11.034
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    References listed on IDEAS

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    1. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 439-454.
    2. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    3. Parreiras, Sérgio O. & Rubinchik, Anna, 2010. "Contests with three or more heterogeneous agents," Games and Economic Behavior, Elsevier, vol. 68(2), pages 703-715, March.
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    Cited by:

    1. Yizhaq Minchuk, 2014. "Aggressive Bidding of Weak Bidders in All-Pay Auction," Economics Bulletin, AccessEcon, vol. 34(3), pages 1665-1668.

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    More about this item

    Keywords

    Asymmetric auctions; First-price auctions; Maximal bid; All-pay auctions;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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