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Allocation of Prizes in Asymmetric All-Pay Auctions

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  • Cohen, Chen
  • Sela, Aner

Abstract

We study asymmetric all-pay auctions with multiple objects where players’ values for the objects are common knowledge. The players have different values for the objects but they have the same ranking. The contest designer may award one prize including all the objects to the player with the highest bid, or, alternatively, they may allocate several prizes, each prize including one object such that the first prize is awarded to the player with the highest bid, the second prize to the player with the second-highest bid, and so on until all the objects are allocated. We analyse the distribution of effort in one-prize and multiple-prize contests and show that allocation of several prizes may be optimal for a contest designer who maximizes the total effort.

Suggested Citation

  • Cohen, Chen & Sela, Aner, 2005. "Allocation of Prizes in Asymmetric All-Pay Auctions," CEPR Discussion Papers 4951, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:4951
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    References listed on IDEAS

    as
    1. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
    2. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    3. Szymanski, Stefan & Valletti, Tommaso, 2004. "First and Second Prizes in Imperfectly Discriminating Contests," CEPR Discussion Papers 4484, C.E.P.R. Discussion Papers.
    4. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    5. Che, Yeon-Koo & Gale, Ian L, 1998. "Caps on Political Lobbying," American Economic Review, American Economic Association, vol. 88(3), pages 643-651, June.
    6. Barut, Yasar & Kovenock, Dan, 1998. "The symmetric multiple prize all-pay auction with complete information," European Journal of Political Economy, Elsevier, vol. 14(4), pages 627-644, November.
    7. 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.
    8. Cohen, Chen & Sela, Aner, 2005. "Manipulations in contests," Economics Letters, Elsevier, vol. 86(1), pages 135-139, January.
    9. 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.
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    More about this item

    Keywords

    auctions; contests;

    JEL classification:

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

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