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Revenue ranking of optimally biased contests: the case of two players

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  • Christian Ewerhart

Abstract

It is shown that the equilibrium in the asymmetric Tullock contest is unique for parameter values r ≤ 2. This allows proving a revenue ranking result saying that a revenue-maximizing designer capable of biasing the contest always prefers a contest technology with higher accuracy.

Suggested Citation

  • Christian Ewerhart, 2017. "Revenue ranking of optimally biased contests: the case of two players," ECON - Working Papers 243, Department of Economics - University of Zurich.
  • Handle: RePEc:zur:econwp:243
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    References listed on IDEAS

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    1. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    2. Gil S. Epstein & Yosef Mealem & Shmuel Nitzan, 2013. "Lotteries vs. All-Pay Auctions in Fair and Biased Contests," Economics and Politics, Wiley Blackwell, vol. 25(1), pages 48-60, March.
    3. Christian Ewerhart, 2015. "Mixed equilibria in Tullock contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 59-71, September.
    4. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    5. Nti, Kofi O, 1999. "Rent-Seeking with Asymmetric Valuations," Public Choice, Springer, vol. 98(3-4), pages 415-430, March.
    6. Franke, Jörg & Kanzow, Christian & Leininger, Wolfgang & Schwartz, Alexandra, 2014. "Lottery versus all-pay auction contests: A revenue dominance theorem," Games and Economic Behavior, Elsevier, vol. 83(C), pages 116-126.
    7. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    8. Perez-Castrillo, J David & Verdier, Thierry, 1992. "A General Analysis of Rent-Seeking Games," Public Choice, Springer, vol. 73(3), pages 335-350, April.
    9. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1994. "The Solution to the Tullock Rent-Seeking Game When R Is Greater Than 2: Mixed-Strategy Equilibria and Mean Dissipation Rates," Public Choice, Springer, vol. 81(3-4), pages 363-380, December.
    10. Mustafa Yildirim, 2015. "Accuracy in contests: players’ perspective," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 67-90, March.
    11. 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.
    12. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
    13. Nti, Kofi O., 2004. "Maximum efforts in contests with asymmetric valuations," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1059-1066, November.
    14. Wang Zhewei, 2010. "The Optimal Accuracy Level in Asymmetric Contests," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-18, April.
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    Cited by:

    1. Feng, Xin & Lu, Jingfeng, 2018. "How to split the pie: Optimal rewards in dynamic multi-battle competitions," Journal of Public Economics, Elsevier, vol. 160(C), pages 82-95.
    2. Igor Letina & Shuo Liu & Nick Netzer, 2017. "Delegating performance evaluation," ECON - Working Papers 266, Department of Economics - University of Zurich, revised Nov 2018.
    3. Feng, Xin & Lu, Jingfeng, 2017. "Uniqueness of equilibrium in two-player asymmetric Tullock contests with intermediate discriminatory power," Economics Letters, Elsevier, vol. 159(C), pages 61-64.

    More about this item

    Keywords

    Tullock contest; Nash equilibrium; heterogeneous valuations; discrimination;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • J71 - Labor and Demographic Economics - - Labor Discrimination - - - Hiring and Firing

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