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Sequential All-Pay Auctions with Head Starts and Noisy Outputs

Author

Listed:
  • Ella Segev

    () (Department of Industrial Engineering and Management,Ben-Gurion University of the Negev, Israel)

  • Aner Sela

    () (Economics Department, Ben-Gurion University of the Negev, Ben-Gurion University of the Negev, Israel)

Abstract

We study a sequential (Stackelberg) all-pay auction with two contestants who are privately informed about a parameter (ability) that affects their cost of effort. Contestant 1 (the fi?rst mover) exerts an effort in the fi?rst period, while contestant 2 (the second mover) observes the effort of contestant 1 and then exerts an effort in the second period. Contestant 2 wins the contest if his effort is larger than or equal to the effort of contestant 1; otherwise, contestant 1 wins. We characterize the unique subgame perfect equilibrium of this sequential all-pay auction and analyze the use of head starts to improve the contestants' performances. We also study this model when contestant 1 exerts an effort in the fi?rst period which translates into an observable output but with some noise. We study two variations of this model where contestant 1 either knows or does not know the realization of the noise before she chooses her effort. Contestant 2 does not know the realization of the noise in both variations. For both variations, we characterize the subgame perfect equilibrium and investigate the effect of a random noise on the contestants' performance.

Suggested Citation

  • Ella Segev & Aner Sela, 2011. "Sequential All-Pay Auctions with Head Starts and Noisy Outputs," Working Papers 1106, Ben-Gurion University of the Negev, Department of Economics.
  • Handle: RePEc:bgu:wpaper:1106
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    References listed on IDEAS

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    Cited by:

    1. Jain, Shaili & Chen, Yiling & Parkes, David C., 2014. "Designing incentives for online question-and-answer forums," Games and Economic Behavior, Elsevier, vol. 86(C), pages 458-474.
    2. Segev, Ella & Sela, Aner, 2012. "Multi-Stage Sequential All-Pay Auctions," CEPR Discussion Papers 8949, C.E.P.R. Discussion Papers.
    3. Segev, Ella & Sela, Aner, 2014. "Sequential all-pay auctions with noisy outputs," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 251-261.
    4. Chiappinelli, Olga, 2014. "An elimination contest with non-sunk bids," MPRA Paper 56140, University Library of Munich, Germany.
    5. Nava Kahana & Doron Klunover, 2017. "Sequential Lottery Contests with Multiple Participants," Working Papers tax-mpg-rps-2017-02, Max Planck Institute for Tax Law and Public Finance.

    More about this item

    Keywords

    Sequential all-pay auctions; head starts; noisy outputs.;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

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