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Multi-Stage Sequential All-Pay Auctions

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  • Sela, Aner
  • Segev, Ella

Abstract

We study multi-stage sequential all-pay contests (auctions) where heterogeneous contestants are privately informed about a parameter (ability) that affects their cost of effort. We characterize the sub-game perfect equilibrium of these multi-stage sequential all-pay contests and analyze the effect of the number of contestants, their types, and their order on the expected highest effort.

Suggested Citation

  • Sela, Aner & Segev, Ella, 2012. "Multi-Stage Sequential All-Pay Auctions," CEPR Discussion Papers 8949, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:8949
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    6. Benny Moldovanu & Aner Sela & Xianwen Shi, 2012. "Carrots And Sticks: Prizes And Punishments In Contests," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 453-462, April.
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    19. Segev, Ella & Sela, Aner, 2014. "Sequential all-pay auctions with noisy outputs," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 251-261.
    20. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    21. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2012. "Optimal seedings in elimination tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 59-80, January.
    22. PARREIRAS, Sérgio O. & RUBINCHIK-PESSACH, Anna, 2006. "Contests with heterogeneous agents," LIDAM Discussion Papers CORE 2006004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    23. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-289, March.
    24. Qiang Fu & Jingfeng Lu, 2012. "The optimal multi-stage contest," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 351-382, October.
    25. Seel, Christian & Strack, Philipp, 2012. "Continuois Time Contests," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 376, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    26. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
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    Citations

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    Cited by:

    1. Yizhaq Minchuk & Aner Sela, 2018. "Asymmetric sequential search under incomplete information," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 27(2), pages 315-325, June.
    2. Jinhyuk Lee & Jaeok Park, 2016. "Second-price auctions with sequential and costly participation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 567-586, August.
    3. Lu, Jingfeng & Lu, David, 2020. "Task arrangement in team competitions," Economics Letters, Elsevier, vol. 193(C).
    4. Sela, Aner, 2023. "Two-stage elimination games," Journal of Mathematical Economics, Elsevier, vol. 109(C).
    5. Enzo Brox & Daniel Goller, 2024. "Tournaments, Contestant Heterogeneity and Performance," Papers 2401.05210, arXiv.org, revised Oct 2024.
    6. 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.
    7. Levi-Tsedek, Netanel & Sela, Aner, 2019. "Sequential (one-against-all) contests," Economics Letters, Elsevier, vol. 175(C), pages 9-11.
    8. Chen Cohen & Ishay Rabi & Aner Sela, 2022. "Assortative Matching by Lottery Contests," Games, MDPI, vol. 13(5), pages 1-20, September.
    9. Tracy Xiao Liu, 2018. "All-pay auctions with endogenous bid timing: an experimental study," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 247-271, March.
    10. Segev, Ella, 2020. "Crowdsourcing contests," European Journal of Operational Research, Elsevier, vol. 281(2), pages 241-255.
    11. Chiappinelli, Olga, 2014. "An elimination contest with non-sunk bids," MPRA Paper 56140, University Library of Munich, Germany.
    12. Lian Jian & Zheng Li & Tracy Xiao Liu, 2017. "Simultaneous versus sequential all-pay auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 648-669, September.
    13. Serena, Marco, 2017. "Quality contests," European Journal of Political Economy, Elsevier, vol. 46(C), pages 15-25.

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    More about this item

    Keywords

    All-pay auctions; Sequential contests;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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