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Common-Value All-Pay Auctions with Asymmetric Information and Bid Caps

Author

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  • 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 and both players are budget-constrained. We generalize the results for all-pay auctions with complete information, and show that in all-pay auctions with asymmetric information, sufficiently high (but still binding) bid caps do not change the players' expected total effort compared to the benchmark auction without any bid cap. Furthermore, we show that there are bid caps that increase the players' expected total effort compared to the benchmark. Finally, we demonstrate that there are bid caps which may have an unanticipated effect on the players' expected payoffs – one player's information advantage may turn into a disadvantage as far as his equilibrium payoff is concerned.

Suggested Citation

  • Einy, Ezra & Haimanko, Ori & Orzach, Ram & Sela, Aner, 2014. "Common-Value All-Pay Auctions with Asymmetric Information and Bid Caps," CEPR Discussion Papers 10173, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:10173
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    References listed on IDEAS

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    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. Ezra Einy & Ori Haimanko & Ram Orzach & Aner Sela, 2014. "Common-Value All-Pay Auctions with Asymmetric Information and Bid Caps," Working Papers 1402, Ben-Gurion University of the Negev, Department of Economics.
    3. 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.
    4. 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.
    5. 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.
    6. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    7. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
    8. 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.
    9. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, January.
    10. 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.
    11. Che, Yeon-Koo & Gale, Ian L, 1998. "Caps on Political Lobbying," American Economic Review, American Economic Association, vol. 88(3), pages 643-651, June.
    12. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    13. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, 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. Malueg, David A. & Orzach, Ram, 2009. "Revenue comparison in common-value auctions: Two examples," Economics Letters, Elsevier, vol. 105(2), pages 177-180, November.
    18. repec:dau:papers:123456789/7891 is not listed on IDEAS
    19. 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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    1. Einy, Ezra & Haimanko, Ori & Orzach, Ram & Sela, Aner, 2014. "Common-Value All-Pay Auctions with Asymmetric Information and Bid Caps," CEPR Discussion Papers 10173, C.E.P.R. Discussion Papers.

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    More about this item

    Keywords

    asymmetric information; bid caps; common-value all-pay auctions; information advantage;
    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

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