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Common-Value All-Pay Auctions with Asymmetric Information

Author

Listed:
  • Einy, Ezra
  • Haimanko, Ori
  • Orzach, Ram
  • Sela, Aner

Abstract

We study two-player common-value all-pay auctions (contests) with asymmetric information under the assumption that one of the players has an information advantage over his opponent. We characterize the unique equilibrium in these contests, and examine the role of information in determining the players' expected efforts, probabilities of winning, and expected payoffs. In particular, we show that the players always have the same probability of winning the contest, and that their expected efforts are the same, but their expected payoffs are different. It is also shown that budget constraints may have an unanticipated effect on the players' expected payoffs, i.e., a player's information advantage may turn into a payoff disadvantage.

Suggested Citation

  • Einy, Ezra & Haimanko, Ori & Orzach, Ram & Sela, Aner, 2013. "Common-Value All-Pay Auctions with Asymmetric Information," CEPR Discussion Papers 9315, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:9315
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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. Forges, Françoise & Orzach, Ram, 2011. "Core-stable rings in second price auctions with common values," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 760-767.
    3. 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.
    4. 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.
    5. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    6. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
    7. Arieh Gavious & Benny Moldovanu & Aner Sela, 2002. "Bid Costs and Endogenous Bid Caps," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 709-722, Winter.
    8. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, January.
    9. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1993. "Rigging the Lobbying Process: An Application of the All-Pay Auction," American Economic Review, American Economic Association, vol. 83(1), pages 289-294, March.
    10. Che, Yeon-Koo & Gale, Ian L, 1998. "Caps on Political Lobbying," American Economic Review, American Economic Association, vol. 88(3), pages 643-651, June.
    11. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    12. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
    13. Warneryd, Karl, 2003. "Information in conflicts," Journal of Economic Theory, Elsevier, vol. 110(1), pages 121-136, May.
    14. David Malueg & Ram Orzach, 2012. "Equilibrium and revenue in a family of common-value first-price auctions with differential information," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 219-254, May.
    15. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    16. Einy, Ezra & Haimanko, Ori & Orzach, Ram & Sela, Aner, 2002. "Dominance solvability of second-price auctions with differential information," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 247-258, May.
    17. 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.
    18. Karl Wärneryd, 2012. "Multi-player contests with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 277-287, October.
    19. Malueg, David A. & Orzach, Ram, 2009. "Revenue comparison in common-value auctions: Two examples," Economics Letters, Elsevier, vol. 105(2), pages 177-180, November.
    20. repec:dau:papers:123456789/7891 is not listed on IDEAS
    21. 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. Wärneryd, Karl, 2013. "Common-value contests with asymmetric information," Economics Letters, Elsevier, vol. 120(3), pages 525-527.
    2. repec:eee:gamebe:v:104:y:2017:i:c:p:78-91 is not listed on IDEAS
    3. Rentschler, Lucas & Turocy, Theodore L., 2016. "Two-bidder all-pay auctions with interdependent valuations, including the highly competitive case," Journal of Economic Theory, Elsevier, vol. 163(C), pages 435-466.

    More about this item

    Keywords

    all-pay auctions; asymmetric information; information advantage;

    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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