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On optimal head starts in all-pay auctions

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  • Seel, Christian
  • Wasser, Cédric

Abstract

We consider a two-player all-pay auction with symmetric independent private values that are uniformly distributed. The designer chooses the size of a head start that is given to one of the players. The designer’s objective is to maximize a convex combination of the expected highest effort and the expected aggregate effort. Unless the weight on the highest effort is one, small head starts are always worse than no head start. Moreover, the optimal head start is strictly positive if and only if the weight on the highest effort is large enough.

Suggested Citation

  • Seel, Christian & Wasser, Cédric, 2014. "On optimal head starts in all-pay auctions," Economics Letters, Elsevier, vol. 124(2), pages 211-214.
    • Handle: RePEc:eee:ecolet:v:124:y:2014:i:2:p:211-214
    DOI: 10.1016/j.econlet.2014.05.018
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    References listed on IDEAS

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    6. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    2. Denter, Philipp & Sisak, Dana, 2016. "Head starts in dynamic tournaments?," Economics Letters, Elsevier, vol. 149(C), pages 94-97.
    3. Christian Seel, 2018. "Contests with endogenous deadlines," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 27(1), pages 119-133, March.
    4. Kostas Bimpikis & Shayan Ehsani & Mohamed Mostagir, 2019. "Designing Dynamic Contests," Operations Research, INFORMS, vol. 67(2), pages 339-356, March.
    5. Derek J. Clark & Tore Nilssen, 2022. "Fatter or fitter? On rewarding and training in a contest," Economic Inquiry, Western Economic Association International, vol. 60(1), pages 101-120, January.
    6. Jörg Franke & Wolfgang Leininger & Cédric Wasser, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 0524, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    7. Feng, Xin & Jiao, Qian & Kuang, Zhonghong & Lu, Jingfeng, 2024. "Optimal prize design in team contests with pairwise battles," Journal of Economic Theory, Elsevier, vol. 215(C).
    8. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    9. Malin Arve & Olga Chiappinelli, 2021. "The Role of Budget Constraints in Sequential Elimination Tournaments," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(4), pages 1059-1087, October.
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    11. Zhu, Feng, 2021. "On optimal favoritism in all-pay contests," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    12. Wasser, Cédric & Zhang, Mengxi, 2023. "Differential treatment and the winner's effort in contests with incomplete information," Games and Economic Behavior, Elsevier, vol. 138(C), pages 90-111.
    13. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 524, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

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    More about this item

    Keywords

    Contest; All-pay auction; Head start;
    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
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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