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Unifying Contests: from Noisy Ranking to Ratio-Form Contest Success Functions

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  • Fu, Qiang
  • Lu, Jingfeng

Abstract

This paper proposes a multi-winner noisy-ranking contest model. Contestants are ranked in a descending order by their perceived outputs, and rewarded by their ranks. A contestant's perceivable output increases with his/her autonomous effort, but is subject to random perturbation. We establish, under plausible conditions, the equivalence between our model and the family of (winner-take-all and multi-winner) lottery contests built upon ratio-form contest success functions. Our model thus provides a micro foundation for this family of often studied contests. In addition, our approach reveals a common thread that connects a broad class of seeming disparate competitive activities and unifies them in the nutshell of ratio-form success functions.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6679.

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Date of creation: 2007
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Handle: RePEc:pra:mprapa:6679
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Keywords: Multi-Winner Contest; Contest Success Function; Noisy Ranking;

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Find related papers by JEL classification:
  • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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  1. Szymanski, Stefan & Valletti, Tommaso M., 2005. "Incentive effects of second prizes," European Journal of Political Economy, Elsevier, vol. 21(2), pages 467-481, June.
  2. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-64, October.
  3. Moldovanu, Benny & Sela, Aner, 1999. "The Optimal Allocation of Prizes in Contests," Sonderforschungsbereich 504 Publications 99-75, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  4. 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.
  5. Clark, Derek J. & Riis, Christian, 1998. "Influence and the discretionary allocation of several prizes," European Journal of Political Economy, Elsevier, vol. 14(4), pages 605-625, November.
  6. Moldovanu, Benny & Sela, Aner & Shi, Xianwen, 2005. "Contests for Status," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 139, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  7. Clark, Derek J & Riis, Christian, 1996. "A Multi-winner Nested Rent-Seeking Contest," Public Choice, Springer, vol. 87(1-2), pages 177-84, April.
  8. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-90, February.
  9. 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.
  10. Glazer, Amihai & Hassin, Refael, 1988. "Optimal Contests," Economic Inquiry, Western Economic Association International, vol. 26(1), pages 133-43, January.
  11. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-89, March.
  12. Yates, Andrew J. & Heckelman, Jac C., 2001. "Rent-setting in multiple winner rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 17(4), pages 835-852, November.
  13. McFadden, Daniel, 1974. "The measurement of urban travel demand," Journal of Public Economics, Elsevier, vol. 3(4), pages 303-328, November.
  14. Amegashie, J Atsu, 2000. "Some Results on Rent-Seeking Contests with Shortlisting," Public Choice, Springer, vol. 105(3-4), pages 245-53, December.
  15. Konrad, Kai A., 2007. "Strategy in contests: an introduction
    [Strategie in Turnieren – eine Einführung]    ," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, Social Science Research Center Berlin (WZB).
  16. Dasgupta, Partha & Stiglitz, Joseph, 1980. "Industrial Structure and the Nature of Innovative Activity," Economic Journal, Royal Economic Society, vol. 90(358), pages 266-93, June.
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Cited by:

  1. Giebe, Thomas, 2014. "Innovation contests with entry auction," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 165-176.
  2. Pradeep Dubey & Siddhartha Sahi, 2016. "Eliciting performance: deterministic versus proportional prizes," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 239-267, March.

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