"Reverse" Nested Lottery Contests
AbstractThis paper proposes a multi-prize "reverse" nested lottery contest model, which can be viewed as the "mirror image" of the conventional nested lottery contest of Clark and Riis (1996a). The reverse-lottery contest model determines winners by selecting losers based on contestants' one-shot effort through a hypothetical sequence of lotteries. We provide a microfoundation for the reverse-lottery contest from a perspective of (simultaneous) noisy performance ranking and establish that the model is underpinned by a unique performance evaluation rule. We further demonstrate that the noisy-ranking model can be interpreted intuitively as a "worst-shot" contest, in which contestants' performances are evaluated based on their most severe mistakes. The reverse-lottery contest model thus depicts a great variety of widely observed competitive activities of this nature. A handy closed-form solution for a symmetric equilibrium of the reverse-lottery contest is obtained. We show that the winner-take-all principle continues to hold in reverse-lottery contests. Moreover, we find that a reverse-lottery contest elicits more effort than a conventional lottery contest whenever the prizes available to contestants are relatively scarce.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by School of Economics, Shandong University in its series SDU Working Papers with number 2013-02.
Length: 30 pages
Date of creation: Jul 2013
Date of revision:
Contest Elimination Function; Imperfectly Discriminatory Contests; Least-Favorable Performance Ranking; Multi-Prize Contest.;
Other versions of this item:
- 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
This paper has been announced in the following NEP Reports:
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.:
- Fu, Qiang & Lu, Jingfeng, 2009. "The beauty of "bigness": On optimal design of multi-winner contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 146-161, May.
- 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.
- Paul Schweinzer & Ella Segev, 2012.
"The optimal prize structure of symmetric Tullock contests,"
Springer, vol. 153(1), pages 69-82, October.
- Schweinzer, Paul & Segev, Ella, 2008. "The optimal prize structure of symmetric Tullock contests," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 250, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Clark, Derek J & Riis, Christian, 1996. " A Multi-winner Nested Rent-Seeking Contest," Public Choice, Springer, vol. 87(1-2), pages 177-84, April.
- Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-45, October.
- Benny Moldovanu & Aner Sela, 2001.
"The Optimal Allocation of Prizes in Contests,"
American Economic Review,
American Economic Association, vol. 91(3), pages 542-558, June.
- Stergios Skaperdas, 1996.
"Contest success functions (*),"
Springer, vol. 7(2), pages 283-290.
- 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.
- Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer, vol. 11(1), pages 201-204.
- Rosen, Sherwin, 1986.
"Prizes and Incentives in Elimination Tournaments,"
American Economic Review,
American Economic Association, vol. 76(4), pages 701-15, September.
- Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
- Szymanski, Stefan & Valletti, Tommaso M., 2005. "Incentive effects of second prizes," European Journal of Political Economy, Elsevier, vol. 21(2), pages 467-481, June.
- 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.
- McFadden, Daniel, 1974. "The measurement of urban travel demand," Journal of Public Economics, Elsevier, vol. 3(4), pages 303-328, November.
- Clark, D.J. & Riis, C., 1996. "On the Win Probability in Rent-Seeking Gemes," Memorandum 05/1996, Oslo University, Department of Economics.
- Amegashie, J Atsu, 2000. " Some Results on Rent-Seeking Contests with Shortlisting," Public Choice, Springer, vol. 105(3-4), pages 245-53, December.
- 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.
- Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
- Perez-Castrillo, J David & Verdier, Thierry, 1992. " A General Analysis of Rent-Seeking Games," Public Choice, Springer, vol. 73(3), pages 335-50, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Qiang Chen).
If references are entirely missing, you can add them using this form.