Allocation Of Prizes In Contests With Participation Constraints
AbstractWe study all-pay contests with an exogenous minimal effort constraint where a player can participate in a contest only if his effort (output) is equal to or higher than the minimal effort constraint. Contestants are privately informed about a parameter (ability) that affects their cost of effort. The designer decides about the size and the number of prizes. We analyze the optimal prize allocation for the contest designer who wishes to maximize either the total effort or the highest effort. It is shown that if the minimal effort constraint is relatively high, the winner-take-all contest in which the contestant with the highest effort wins the entire prize sum does not maximize the expected total effort nor the expected highest effort. In that case, the random contest in which the entire prize sum is equally allocated to all the participants yields a higher expected total effort as well as a higher expected highest effort than the winner-take-all contest.
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Bibliographic InfoPaper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 1008.
Length: 24 pages
Date of creation: 2010
Date of revision:
Winner-take-all contests; all-pay auctions; participation constraints.;
Find related papers by JEL classification:
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- O31 - Economic Development, Technological Change, and Growth - - Technological Change; Research and Development; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
- O32 - Economic Development, Technological Change, and Growth - - Technological Change; Research and Development; Intellectual Property Rights - - - Management of Technological Innovation and R&D
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-11-27 (All new papers)
- NEP-CDM-2010-11-27 (Collective Decision-Making)
- NEP-CTA-2010-11-27 (Contract Theory & Applications)
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- Che, Yeon-Koo & Gale, Ian L, 1998.
"Caps on Political Lobbying,"
American Economic Review,
American Economic Association, vol. 88(3), pages 643-51, June.
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