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Tournaments with Midterm Reviews

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  • Alex Gershkov

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  • Motty Perry

    ()

Abstract

In many tournaments investments are made over time and conducting a review only once at the end, or also at points midway through, is a strategic decision of the tournament designer. If the latter is chosen, then a rule according to which the results of the different reviews are aggregated into a ranking must also be determined. This paper takes a first step in the direction of answering how such rules should be optimally designed. A characterization of the optimal aggregation rule is provided for a two-agent two-stage tournament. In particular, we show that treating the two reviews symmetrically may result in an equilibrium effort level that is inferior to the one in which only a final review is conducted. However, treating the two reviews lexicographically by first looking at the final review, and then using the midterm review only as a tie-breaking rule, strictly dominates the option of conducting a final review only. The optimal mechanism falls somewhere in between these two extreme mechanisms. It is shown that the more effective the first-stage effort is in determining the final review’s outcome, the smaller is the weight that should be assigned to the midterm review in determining the agents’ ranking.

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Bibliographic Info

Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp414.

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Length: 22 pages
Date of creation: Jan 2006
Date of revision:
Handle: RePEc:huj:dispap:dp414

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  1. Aoyagi, Masaki, 2010. "Information feedback in a dynamic tournament," Games and Economic Behavior, Elsevier, vol. 70(2), pages 242-260, November.
  2. Sherwin Rosen, 1985. "Prizes and Incentives in Elimination Tournaments," NBER Working Papers 1668, National Bureau of Economic Research, Inc.
  3. Jerry R. Green & Nancy L. Stokey, 1982. "A Comparison of Tournaments and Contracts," NBER Working Papers 0840, National Bureau of Economic Research, Inc.
  4. Meyer, Margaret A, 1991. "Learning from Coarse Information: Biased Contests and Career Profiles," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 58(1), pages 15-41, January.
  5. 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.
  6. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-98, December.
  7. Edward P. Lazear & Sherwin Rosen, 1979. "Rank-Order Tournaments as Optimum Labor Contracts," NBER Working Papers 0401, National Bureau of Economic Research, Inc.
  8. Moldovanu, Benny & Sela, Aner, 2002. "Contest Architecture," Sonderforschungsbereich 504 Publications 02-06, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  9. Dubey, Pradeep & Haimanko, Ori, 2003. "Optimal scrutiny in multi-period promotion tournaments," Games and Economic Behavior, Elsevier, vol. 42(1), pages 1-24, January.
  10. Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 109(458), pages 536-45, October.
  11. Yildirim, Huseyin, 2005. "Contests with multiple rounds," Games and Economic Behavior, Elsevier, vol. 51(1), pages 213-227, April.
  12. Florian Ederer, 2010. "Feedback and Motivation in Dynamic Tournaments," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(3), pages 733-769, 09.
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