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Wars of attrition and all-pay auctions with stochastic competition

Author

Listed:
  • Olivier Bos

    (Auteur indépendant)

Abstract

We extend the war of attrition and all-pay auction analysis of Krishna and Morgan (1997) to a stochastic competition setting. We determine the existence of equilibrium bidding strategies and discuss the potential shape of these strategies. Results for the war of attrition contrast with the characterization of the bidding equilibrium strategies in the first-price all-pay auction as well as the winner-pay auctions. Furthermore we investigate the expected revenue comparisons among the war of attrition, the all-pay auction and the winner-pay auctions and discuss the linkage principle as well. Our findings are applicable to future works on contests and charity auctions.

Suggested Citation

  • Olivier Bos, 2012. "Wars of attrition and all-pay auctions with stochastic competition," Post-Print hal-01079504, HAL.
    • Handle: RePEc:hal:journl:hal-01079504
    DOI: 10.1016/j.jmateco.2011.12.002
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    Cited by:

    1. Oliver Kirchkamp & Wladislaw Mill, 2019. "Spite vs. risk: explaining overbidding," CESifo Working Paper Series 7631, CESifo.
    2. Sosung Baik & Sung-Ha Hwang, 2021. "Auction design with ambiguity: Optimality of the first-price and all-pay auctions," Papers 2110.08563, arXiv.org.
    3. Kirchkamp, Oliver & Mill, Wladislaw, 2021. "Spite vs. risk: Explaining overbidding in the second-price all-pay auction," Games and Economic Behavior, Elsevier, vol. 130(C), pages 616-635.
    4. Lang, Matthias & Seel, Christian & Strack, Philipp, 2014. "Deadlines in stochastic contests," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 134-142.

    More about this item

    Keywords

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    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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