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Sequential two-prize contests

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  • Aner Sela

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Abstract

We study a two-stage all-pay auction with two identical prizes. In each stage, the players compete for one prize. Each player may win either one or two prizes. We analyze the unique subgame-perfect equilibrium of our model with two players where each player’s marginal values for the prizes are decreasing, constant, or increasing. We also analyze an equilibrium of the model with more than two players where each player’s marginal values for the prizes are nonincreasing. Copyright Springer-Verlag 2012

Suggested Citation

  • Aner Sela, 2012. "Sequential two-prize contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 383-395, October.
  • Handle: RePEc:spr:joecth:v:51:y:2012:i:2:p:383-395
    DOI: 10.1007/s00199-010-0547-9
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    References listed on IDEAS

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    1. Michael Baye & Dan Kovenock & Casper Vries, 2012. "Contests with rank-order spillovers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 315-350, October.
    2. Dan Kovenock & Brian Roberson, 2009. "Is the 50-State Strategy Optimal?," Journal of Theoretical Politics, , vol. 21(2), pages 213-236, April.
    3. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    4. Konrad, Kai A. & Kovenock, Dan, 2005. "Equilibrium and Efficiency in the Tug-Of-War," Purdue University Economics Working Papers 1177, Purdue University, Department of Economics.
    5. Konrad, Kai A., 2006. "Silent interests and all-pay auctions," International Journal of Industrial Organization, Elsevier, vol. 24(4), pages 701-713, July.
    6. Kaplan, Todd R. & Luski, Israel & Wettstein, David, 2003. "Innovative activity and sunk cost," International Journal of Industrial Organization, Elsevier, vol. 21(8), pages 1111-1133, October.
    7. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    8. Barut, Yasar & Kovenock, Dan, 1998. "The symmetric multiple prize all-pay auction with complete information," European Journal of Political Economy, Elsevier, vol. 14(4), pages 627-644, November.
    9. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    10. Chen Cohen & Todd R. Kaplan & Aner Sela, 2008. "Optimal rewards in contests," RAND Journal of Economics, RAND Corporation, vol. 39(2), pages 434-451.
    11. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
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    Citations

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    Cited by:

    1. Aner Sela, 2016. "Two Stage Contests With Effort-Dependent Rewards," Working Papers 1612, Ben-Gurion University of the Negev, Department of Economics.
    2. Kaplan, Todd R & Wettstein, David, 2016. "Two-Stage Contests with Preferences over Style," MPRA Paper 73539, University Library of Munich, Germany.
    3. Netanel Nissim & Aner Sela, 2017. "The Third Place Game," Working Papers 1709, Ben-Gurion University of the Negev, Department of Economics.
    4. Kai Konrad & Dan Kovenock, 2012. "Introduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 241-245, October.
    5. repec:eee:mateco:v:74:y:2018:i:c:p:21-34 is not listed on IDEAS
    6. Sela, Aner, 2016. "Two-stage contests with effort-dependent rewards," CEPR Discussion Papers 11113, C.E.P.R. Discussion Papers.
    7. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    8. Hirata, Daisuke, 2014. "A model of a two-stage all-pay auction," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 5-13.
    9. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications, Elsevier.
    10. Dahm, Matthias & Esteve, Patrícia,, 2013. "Affirmative Action through Extra Prizes," Working Papers 2072/222197, Universitat Rovira i Virgili, Department of Economics.
    11. Reut Megidish & Aner Sela, 2014. "Caps In Sequential Contests," Economic Inquiry, Western Economic Association International, vol. 52(2), pages 608-617, April.
    12. Clark, Derek J. & Nilssen, Tore, 2018. "Beating the Matthew Effect: Head Starts and Catching Up in a Dynamic All-Pay Auction," Memorandum 2/2018, Oslo University, Department of Economics.

    More about this item

    Keywords

    Multi-stage contests; All-pay auctions; D44; D82; J31; J41;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

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