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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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    File URL: http://in.bgu.ac.il/en/humsos/Econ/Workingpapers/1009.pdf
    File Function: First version, 2010
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    Cited by:

    1. Dmitry Dagaev & Andrey Zubanov, 2017. "Round-Robin Tournaments with Limited Resources," HSE Working papers WP BRP 171/EC/2017, National Research University Higher School of Economics.

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