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Round-Robin Tournaments With Effort Constraints

Author

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  • Aner Sela

    (Department of Economics, Ben-Gurion University of the Negev, Israel)

  • Eyal Erez

    (Ben-Gurion University of the Negev, Israel)

Abstract

We study a round-robin tournament with n symmetric players where in each of the n-1 stages each of the players competes against a different player in the Tullock contest. Each player has a limited budget of effort that decreases within the stages proportionally to the effort he exerted in the previous stages. We show that when the prize for winning (value of winning) is equal between the stages, a player's effort is weakly decreasing over the stages. We also show how the contest designer can influence the players' allocation of effort by changing the distribution of prizes between the stages. In particular, we analyze the distribution of prizes over the stages that balance the effort allocation such that a player exerts the same effort over the different stages. In addition, we analyze the distribution of prizes over the stages that maximizes the players' expected total effort.

Suggested Citation

  • Aner Sela & Eyal Erez, 2010. "Round-Robin Tournaments With Effort Constraints," Working Papers 1009, Ben-Gurion University of the Negev, Department of Economics.
    • Handle: RePEc:bgu:wpaper:1009
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    References listed on IDEAS

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    1. 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.
    2. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
    3. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    4. Dmitry Ryvkin & Andreas Ortmann, 2008. "The Predictive Power of Three Prominent Tournament Formats," Management Science, INFORMS, vol. 54(3), pages 492-504, March.
    5. Alexander Matros, 2006. "Elimination Tournaments where Players Have Fixed Resources," Working Paper 205, Department of Economics, University of Pittsburgh, revised Jan 2006.
    6. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
    7. Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-545, October.
    8. Dmitry Ryvkin, 2011. "Fatigue in Dynamic Tournaments," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(4), pages 1011-1041, December.
    9. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    10. Rick Harbaugh & Tilman Klumpp, 2005. "Early Round Upsets and Championship Blowouts," Economic Inquiry, Western Economic Association International, vol. 43(2), pages 316-329, April.
    11. Amegashie, J. Atsu & Cadsby, C. Bram & Song, Yang, 2007. "Competitive burnout: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 59(2), pages 213-239, May.
    12. Christopher Ferrall & Anthony A. Smith, 1999. "A Sequential Game Model Of Sports Championship Series: Theory And Estimation," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 704-719, November.
    13. Alex Robson, 2005. "Multi-Item Contests," ANU Working Papers in Economics and Econometrics 2005-446, Australian National University, College of Business and Economics, School of Economics.
    14. Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September.
    15. Kai A. Konrad, 2004. "Bidding in hierarchies," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 547-554, Springer.
    16. Che, Yeon-Koo & Gale, Ian, 1997. "Rent Dissipation When Rent Seekers Are Budget Constrained," Public Choice, Springer, vol. 92(1-2), pages 109-126, July.
    17. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
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    Cited by:

    1. Dmitry Dagaev & Andrey Zubanov, 2022. "Round-robin tournaments with limited resources," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 525-583, October.

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    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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