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Sequential contests with first and secondary prizes

Author

Listed:
  • Aner Sela

    (BGU)

  • Asaf Iluz

    (BGU)

Abstract

We study a sequential two-stage Tullock contest with two asymmetric players. The players compete for two prizes; the player with the highest effort in the first stage wins the secondary prize while the player with the highest total effort in both stages wins the first prize. Both players have the same cost functions where the marginal cost in the first stage is higher than in the second one. We analyze the subgame perfect equilibrium of this contest and reveal a paradoxical behavior such that the players’ utilities increase in their marginal effort cost.
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Suggested Citation

  • Aner Sela & Asaf Iluz, 2018. "Sequential contests with first and secondary prizes," Working Papers 1805, Ben-Gurion University of the Negev, Department of Economics.
    • Handle: RePEc:bgu:wpaper:1805
    as

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    References listed on IDEAS

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    1. Dan Kovenock & Brian Roberson, 2009. "Is the 50-State Strategy Optimal?," Journal of Theoretical Politics, , vol. 21(2), pages 213-236, April.
    2. Clark, Derek J & Riis, Christian, 1996. "A Multi-winner Nested Rent-Seeking Contest," Public Choice, Springer, vol. 87(1-2), pages 177-184, April.
    3. Aner Sela, 2017. "Two-stage contests with effort-dependent values of winning," Review of Economic Design, Springer;Society for Economic Design, vol. 21(4), pages 253-272, December.
    4. Dmitry Ryvkin, 2011. "Fatigue in Dynamic Tournaments," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(4), pages 1011-1041, December.
    5. Rick Harbaugh & Tilman Klumpp, 2005. "Early Round Upsets and Championship Blowouts," Economic Inquiry, Western Economic Association International, vol. 43(2), pages 316-329, April.
    6. 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.
    7. Aner Sela & Eyal Erez, 2013. "Dynamic contests with resource constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 863-882, October.
    8. Berry, S Keith, 1993. "Rent-Seeking with Multiple Winners," Public Choice, Springer, vol. 77(2), pages 437-443, October.
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    Cited by:

    1. Amegashie, J. Atsu, 2019. "Quantity-cum-quality contests," European Journal of Political Economy, Elsevier, vol. 58(C), pages 289-297.

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    More about this item

    Keywords

    Multi-stage contests; multi-prize contests; variable costs.;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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