Round-Robin Tournaments with Effort Constraints
We study a round-robin tournament with n symmetric players where in each of the n-1 stages each of the players competes against a different player in the Tullock contest. Each player has a limited budget of effort that decreases within the stages proportionally to the effort he exerted in the previous stages. We show that when the prize for winning (value of winning) is equal between the stages, a player's effort is weakly decreasing over the stages. We also show how the contest designer can influence the players' allocation of effort by changing the distribution of prizes between the stages. In particular, we analyze the optimal distribution of prizes over the stages that balance the effort allocation such that a player exerts the same effort over the different stages. In addition, we analyze the distribution of prizes over the stages that maximizes the players' expected total effort.
|Date of creation:||Sep 2010|
|Date of revision:|
|Contact details of provider:|| Postal: Centre for Economic Policy Research, 77 Bastwick Street, London EC1V 3PZ.|
Phone: 44 - 20 - 7183 8801
Fax: 44 - 20 - 7183 8820
|Order Information:|| Email: |
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Amegashie, J. Atsu & Cadsby, C. Bram & Song, Yang, 2007.
"Competitive burnout: Theory and experimental evidence,"
Games and Economic Behavior,
Elsevier, vol. 59(2), pages 213-239, May.
- J. Atsu Amegashie & C. Bram Cadsby & Yang Song, 2005. "Competitive Burnout: Theory and Experimental Evidence," Working Papers 0507, University of Guelph, Department of Economics and Finance.
- repec:pit:wpaper:205 is not listed on IDEAS
- Christopher Ferrall & Anthony A. Smith, Jr., .
"A Sequential Game Model of Sports Championship Series: Theory and Estimation,"
GSIA Working Papers
1997-38, Carnegie Mellon University, Tepper School of Business.
- Christopher Ferrall & Anthony A. Smith, 1999. "A Sequential Game Model Of Sports Championship Series: Theory And Estimation," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 704-719, November.
- Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
- Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
- Rick Harbaugh & Tilman Klumpp, 2004.
"Early Round Upsets and Championship Blowouts,"
2004-09, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
- Warneryd, Karl, 1998.
"Distributional conflict and jurisdictional organization,"
Journal of Public Economics,
Elsevier, vol. 69(3), pages 435-450, September.
- Wärneryd, Karl, 1997. "Distributional Conflict and Jurisdictional Organization," SSE/EFI Working Paper Series in Economics and Finance 173, Stockholm School of Economics.
- Sherwin Rosen, 1985.
"Prizes and Incentives in Elimination Tournaments,"
NBER Working Papers
1668, National Bureau of Economic Research, Inc.
- Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-60, May.
- Dmitry Ryvkin, 2011.
"Fatigue in Dynamic Tournaments,"
Journal of Economics & Management Strategy,
Wiley Blackwell, vol. 20(4), pages 1011-1041, December.
- Moldovanu, Benny & Sela, Aner, 2006.
Journal of Economic Theory,
Elsevier, vol. 126(1), pages 70-96, January.
- Alex Robson, 2005. "Multi-Item Contests," ANU Working Papers in Economics and Econometrics 2005-446, Australian National University, College of Business and Economics, School of Economics.
- Che, Yeon-Koo & Gale, Ian, 1997. "Rent Dissipation When Rent Seekers Are Budget Constrained," Public Choice, Springer, vol. 92(1-2), pages 109-26, July.
- Konrad, Kai A., 2003.
"Bidding in hierarchies
[Das Bieten in Hierarchien]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2003-27, Social Science Research Center Berlin (WZB).
- Dmitry Ryvkin & Andreas Ortmann, 2008. "The Predictive Power of Three Prominent Tournament Formats," Management Science, INFORMS, vol. 54(3), pages 492-504, March.
- Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-45, October.
- Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:8021. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.