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Jump Bidding and Budget Constraints in All-Pay Auctions and Wars of Attrition

Author

Listed:
  • Eddie Dekel
  • Matthew Jackson
  • Asher Wolinsky
Abstract
We study all-pay auctions (or wars of attrition), where the highest bidder wins an object, but all bidders pay their bids. We consider such auctions when two bidders alternate in raising their bids and where all aspects of the auction are common knowledge including bidders' valuations. We analyze how the ability to "jump-bid," or raise bids by more than the minimal necessary increment affects the outcome of the auction. We also study the impact of budget caps on total bids. We show that both of these features, which are common in practice but absent from the previous literature, matter signi cantly in determining the outcome of the auctions.

Suggested Citation

  • Eddie Dekel & Matthew Jackson & Asher Wolinsky, 2007. "Jump Bidding and Budget Constraints in All-Pay Auctions and Wars of Attrition," Discussion Papers 1454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1454
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    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1454.pdf
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    Citations

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    Cited by:

    1. Ivan Pastine & Tuvana Pastine, 2023. "Equilibrium existence and expected payoffs in all-pay auctions with constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 983-1007, May.
    2. Mark Broom & Jan Rychtář, 2018. "Evolutionary Games with Sequential Decisions and Dollar Auctions," Dynamic Games and Applications, Springer, vol. 8(2), pages 211-231, June.
    3. Bingchao Huangfu & Gagan Ghosh & Heng Liu, 2023. "Resource inequality in the war of attrition," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 33-61, March.

    More about this item

    Keywords

    All-Pay Auctions; Jump-Bidding; Auctions; War of Attrition.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative 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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