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Large Tullock contests

Author

Listed:
  • Serhat Doğan

    (Bilkent University)

  • Emin Karagözoğlu

    (Bilkent University
    CESifo Munich)

  • Kerim Keskin

    (ADA University)

  • Çağrı Sağlam

    (Bilkent University)

Abstract

We characterize the equilibrium effort function of a large Tullock contest game with heterogeneous agents under mild conditions on the contest success function and effort cost function. Later, writing the equilibrium total effort explicitly under a uniform type distribution, we identify the effort-maximizing large Tullock contest. It is shown that the contest designer needs to increase the curvature of the effective effort function, thereby encouraging high-type agents to exert even higher efforts, as the curvature of the effort cost function increases or the support of the type distribution gets narrower.

Suggested Citation

  • Serhat Doğan & Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2023. "Large Tullock contests," Journal of Economics, Springer, vol. 140(2), pages 169-179, October.
    • Handle: RePEc:kap:jeczfn:v:140:y:2023:i:2:d:10.1007_s00712-023-00829-8
    DOI: 10.1007/s00712-023-00829-8
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    References listed on IDEAS

    as
    1. Deren Çağlayan & Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2022. "Effort comparisons for a class of four-player tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 119-137, July.
    2. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    3. Olszewski, Wojciech & Siegel, Ron, 2020. "Performance-maximizing large contests," Theoretical Economics, Econometric Society, vol. 15(1), January.
    4. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, Decembrie.
    5. Jörg Franke & Christian Kanzow & Wolfgang Leininger & Alexandra Schwartz, 2013. "Effort maximization in asymmetric contest games with heterogeneous contestants," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 589-630, March.
    6. Schmalensee, Richard, 1981. "Output and Welfare Implications of Monopolistic Third-Degree Price Discrimination," American Economic Review, American Economic Association, vol. 71(1), pages 242-247, March.
    7. Ronen Gradwohl & Ehud Kalai, 2021. "Large Games: Robustness and Stability," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 39-56, August.
    8. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    9. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    10. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    11. Nti, Kofi O., 2004. "Maximum efforts in contests with asymmetric valuations," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1059-1066, November.
    12. 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.
    13. Ratul Lahkar & Saptarshi Mukherjee, 2022. "Optimal Large Population Tullock Contests," Working Papers 82, Ashoka University, Department of Economics.
    14. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
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    More about this item

    Keywords

    Large game; Tullock contests; Asymmetric contest; Contest design; Effort-maximizing contests;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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