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The beauty of "bigness" in contest design: merging or splitting?

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Author Info
Fu, Qiang
Lu, Jingfeng

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Abstract

This paper studies in a multiple-winner contest setting how the total efforts may vary between a grand contest and a set of subcontests. We first show that the rent-dissipation rate increases when the numbers of contestants and prizes are "scaled up". In other words, the total efforts of a contest exhibit a striking "increasing return to scale" property: when the numbers of contestants and prizes scale up proportionally, the total efforts of the contest increase more than proportionally. Thus, the total efforts must increase when a set of identical subcontests are merged into a grand contest. Equivalently, the total efforts decrease when a grand contest is evenly divided. We further allow the grand contest to be split into uneven subcontests. We show that under a mild and plausible condition (regular contest technology), the grand contest generates more efforts as compared to any split contests.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 947.

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Date of creation: Apr 2006
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Handle: RePEc:pra:mprapa:947

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Related research
Keywords: Contests Multiple-winners Efforts Size Replication.

Find related papers by JEL classification:
D7 - Microeconomics - - Analysis of Collective Decision-Making
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  1. 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. [Downloadable!] (restricted)
  2. Amegashie, J Atsu, 2000. " Some Results on Rent-Seeking Contests with Shortlisting," Public Choice, Springer, vol. 105(3-4), pages 245-53, December. [Downloadable!] (restricted)
  3. Warneryd, Karl, 2001. "Replicating contests," Economics Letters, Elsevier, vol. 71(3), pages 323-327, June. [Downloadable!] (restricted)
  4. Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September. [Downloadable!] (restricted)
    Other versions:
  5. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer, vol. 7(2), pages 283-90, February.
  6. Moldovanu, Benny & Sela, Aner, 2002. "Contest Architecture," Sonderforschungsbereich 504 Publications 02-06, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
    Other versions:
  7. 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. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. Clark, Derek J & Riis, Christian, 1996. " A Multi-winner Nested Rent-Seeking Contest," Public Choice, Springer, vol. 87(1-2), pages 177-84, April.
  10. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer, vol. 7(2), pages 283-290.
  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. [Downloadable!] (restricted)
  12. Inderst, Roman & Müller, Holger M. & Wärneryd, Karl, 2000. "Influence Costs and Hierarchy," Sonderforschungsbereich 504 Publications 00-30, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
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