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Round-Robin Tournaments with Effort Constraints

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  • Erez, Eyal
  • Sela, Aner
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    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 optimal 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.

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    Bibliographic Info

    Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8021.

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    Date of creation: Sep 2010
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    Handle: RePEc:cpr:ceprdp:8021

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    Related research

    Keywords: effort Constraints; Round-Robin Tournaments; Tullock Contests;

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    1. Dmitry Ryvkin & Andreas Ortmann, 2008. "The Predictive Power of Three Prominent Tournament Formats," Management Science, INFORMS, vol. 54(3), pages 492-504, March.
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    3. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
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    12. Alexander Matros, 2006. "Elimination Tournaments where Players Have Fixed Resources," Working Papers 205, University of Pittsburgh, Department of Economics, revised Jan 2006.
    13. Konrad, Kai A., 2003. "Bidding in hierarchies," Discussion Papers, Research Unit: Market Processes and Governance SP II 2003-27, Social Science Research Center Berlin (WZB).
    14. Che, Yeon-Koo & Gale, Ian, 1997. " Rent Dissipation When Rent Seekers Are Budget Constrained," Public Choice, Springer, vol. 92(1-2), pages 109-26, July.
    15. 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.
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