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Existence of a pure-strategy Bayesian Nash equilibrium in imperfectly discriminating contests

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  • Wasser, Cédric

Abstract

We consider a general class of imperfectly discriminating contests with privately informed players. We show that findings by Athey (2001) imply the existence of a Bayesian Nash equilibrium in monotone pure strategies.

Suggested Citation

  • Wasser, Cédric, 2010. "Existence of a pure-strategy Bayesian Nash equilibrium in imperfectly discriminating contests," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 331, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  • Handle: RePEc:trf:wpaper:331
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    File URL: https://epub.ub.uni-muenchen.de/13223/1/331.pdf
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    References listed on IDEAS

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    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Che, Yeon-Koo & Gale, Ian, 2000. "Difference-Form Contests and the Robustness of All-Pay Auctions," Games and Economic Behavior, Elsevier, vol. 30(1), pages 22-43, January.
    4. David A. Malueg & Andrew J. Yates, 2004. "Sent Seeking With Private Values," Public Choice, Springer, vol. 119(1_2), pages 161-178, April.
    5. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    6. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    7. Blavatskyy, Pavlo R., 2010. "Contest success function with the possibility of a draw: Axiomatization," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 267-276, March.
    8. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Public Choice, Springer, vol. 63(2), pages 101-112, November.
    9. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    10. Warneryd, Karl, 2003. "Information in conflicts," Journal of Economic Theory, Elsevier, vol. 110(1), pages 121-136, May.
    11. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    12. 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.
    13. 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.
    14. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    15. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    16. Hurley, Terrance M. & Shogren, Jason F., 1998. "Asymmetric information contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 645-665, November.
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    Citations

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    Cited by:

    1. Giebe, Thomas, 2014. "Innovation contests with entry auction," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 165-176.
    2. Ewerhart, Christian, 2014. "Unique equilibrium in rent-seeking contests with a continuum of types," Economics Letters, Elsevier, vol. 125(1), pages 115-118.
    3. Thomas Giebe & Paul Schweinzer, 2015. "Probabilistic procurement auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 25-46, March.
    4. Christian Ewerhart, 2014. "Unique equilibrium in rent-seeking contests with a continuum of types," ECON - Working Papers 159, Department of Economics - University of Zurich.
    5. Philip Brookins & Dmitry Ryvkin, 2016. "Equilibrium existence in group contests," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 265-276, October.
    6. Drugov, Mikhail & Ryvkin, Dmitry, 2017. "Biased contests for symmetric players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 116-144.
    7. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.
    8. Christian Ewerhart & Julia Grünseis, 2018. "Voluntary disclosure in unfair contests," ECON - Working Papers 279, Department of Economics - University of Zurich.
    9. Oriol Carbonell-Nicolau & Richard McLean, 2014. "On the existence of Nash equilibrium in Bayesian games," Departmental Working Papers 201402, Rutgers University, Department of Economics.

    More about this item

    Keywords

    contest; imperfectly discriminating; asymmetric information; equilibrium existence; interdependent values;

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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