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Contests with Random Noise and a Shared Prize

Author

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  • Sheremeta, Roman
  • Masters, William
  • Cason, Timothy

Abstract

This note introduces a model of contests with random noise and a shared prize that combines features of Tullock (1980) and Lazear and Rosen (1981). Similar to results in Lazear and Rosen, as the level of noise decreases the equilibrium effort rises. As the noise variance approaches zero, the equilibrium effort of the shared-prize contest approaches that of a Tullock lottery contest.

Suggested Citation

  • Sheremeta, Roman & Masters, William & Cason, Timothy, 2009. "Contests with Random Noise and a Shared Prize," MPRA Paper 58271, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:58271
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    File URL: https://mpra.ub.uni-muenchen.de/58271/1/MPRA_paper_58271.pdf
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    References listed on IDEAS

    as
    1. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    2. Che, Yeon-Koo & Gale, Ian, 2000. "Difference-Form Contests and the Robustness of All-Pay Auctions," Games and Economic Behavior, Elsevier, vol. 30(1), pages 22-43, January.
    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. Zheng, Xiaoyong & Vukina, Tomislav, 2007. "Efficiency gains from organizational innovation: Comparing ordinal and cardinal tournament games in broiler contracts," International Journal of Industrial Organization, Elsevier, vol. 25(4), pages 843-859, August.
    5. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    6. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    7. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    8. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    9. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
    10. O'Keeffe, Mary & Viscusi, W Kip & Zeckhauser, Richard J, 1984. "Economic Contests: Comparative Reward Schemes," Journal of Labor Economics, University of Chicago Press, vol. 2(1), pages 27-56, January.
    11. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    12. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
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    Citations

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    Cited by:

    1. Subhashish Modak Chowdhury & Roman M. Sheremeta, 2009. "The equivalence of contests," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-06, School of Economics, University of East Anglia, Norwich, UK..
    2. Grossmann, Martin, 2014. "Uncertain contest success function," European Journal of Political Economy, Elsevier, vol. 33(C), pages 134-148.

    More about this item

    Keywords

    Contests; All-pay auctions; Tournaments; Random noise; Shared prize;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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