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Population uncertainty and revealing contestants

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  • Kim, Bara
  • Yoo, Seung Han

Abstract

A number of contestants randomly arrives according to a Poisson distribution. Under population uncertainty, a contest designer considers whether or not to reveal the number of players to bidders. We show that for the expected revenue, the two policies are equivalent, but for the expected winner’s payment, the revealing policy dominates if the expected number of bidders is sufficiently large, whereas the concealing policy dominates if it is low.

Suggested Citation

  • Kim, Bara & Yoo, Seung Han, 2021. "Population uncertainty and revealing contestants," Economics Letters, Elsevier, vol. 199(C).
    • Handle: RePEc:eee:ecolet:v:199:y:2021:i:c:s0165176521000045
    DOI: 10.1016/j.econlet.2021.109727
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    References listed on IDEAS

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    1. Nava Kahana & Doron Klunover, 2015. "A note on Poisson contests," Public Choice, Springer, vol. 165(1), pages 97-102, October.
    2. Roger B. Myerson, 1998. "Population uncertainty and Poisson games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 375-392.
    3. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    4. Roger Myerson & Karl Wärneryd, 2006. "Population uncertainty in contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 469-474, January.
    5. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    6. Levin, Dan & Ozdenoren, Emre, 2004. "Auctions with uncertain numbers of bidders," Journal of Economic Theory, Elsevier, vol. 118(2), pages 229-251, October.
    7. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    8. Lim, Wooyoung & Matros, Alexander, 2009. "Contests with a stochastic number of players," Games and Economic Behavior, Elsevier, vol. 67(2), pages 584-597, November.
    9. 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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    Cited by:

    1. Bara Kim & Seung Han Yoo, 2022. "Grand Mechanism and Population Uncertainty," Discussion Paper Series 2204, Institute of Economic Research, Korea University.

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    More about this item

    Keywords

    Contest; Population uncertainty; Environmental equivalence;
    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
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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