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Asymmetric All-Pay Contests with Heterogeneous

Author

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  • Jun Xiao

Abstract

This paper studies complete-information, all-pay contests with asymmetric players competing for multiple heterogeneous prizes. In these contests, each player chooses a performance level or score. The first prize is awarded to the player with the highest score,the second,less valuable prize to the player with the second highest score, etc. Players are asymmetric in that they incur di¤erent costs of score. The players are assumed to have ordered marginal costs, and the prize sequence is assumed to be either quadratic or geometric. I show that each such contest has a unique Nash equilibrium and exhibit an algorithm that constructs the equilibrium. I then apply the main result to study: (a) the issue of tracking students in schools, (b) the incentive e¤ects of superstars,and (c)the optimality of winner-take-all contests.

Suggested Citation

  • Jun Xiao, 2012. "Asymmetric All-Pay Contests with Heterogeneous," Department of Economics - Working Papers Series 1151, The University of Melbourne.
  • Handle: RePEc:mlb:wpaper:1151
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    File URL: http://fbe.unimelb.edu.au/__data/assets/pdf_file/0006/784311/1151.pdf
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    References listed on IDEAS

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    1. Jeremy Bulow & Jonathan Levin, 2006. "Matching and Price Competition," American Economic Review, American Economic Association, vol. 96(3), pages 652-668, June.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    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. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January.
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    Cited by:

    1. Siegel, Ron, 2014. "Asymmetric all-pay auctions with interdependent valuations," Journal of Economic Theory, Elsevier, vol. 153(C), pages 684-702.
    2. Julio González-Díaz & Ron Siegel, 2013. "Matching and price competition: beyond symmetric linear costs," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 835-844, November.
    3. Ghazala Azmat & Marc Möller, 2016. "The Distribution of Talent across Contests Feedback in Higher Education," Working Papers 789, Queen Mary University of London, School of Economics and Finance.
    4. Matthias Dahm, 2017. "All-Pay Auctions with Extra Prize: A Partial Exclusion Principle," Discussion Papers 2017-01, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.

    More about this item

    Keywords

    all-pay; contest; asymmetric; heterogeneous;

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