All-Pay Auctions with Polynomial Rewards
This paper examines a perfectly discriminating contest (all-pay auction) with two asymmetric players. We focus on unordered valuations. Valuations are endogenous (polynomial functions) and depend on the effort each player invests in the contest. The shape of the valuation function is common knowledge and differs between the contestants. Some key properties of R&D races, lobbying activity and sport contests are captured by this framework. After analyzing the unique mixed strategy equilibrium, we derive a closed form of the expected expenditure of both players. We characterize the expected expenditure by means of incomplete Beta functions.
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- Kaplan, T.R. & Luski, I. & Wettstein, D., 2000.
"Innovative Activity and Sunk Cost,"
0006, Exeter University, Department of Economics.
- Olivier Bos & Martin Ranger, 2010.
"All-Pay Auctions with Endogenous Rewards,"
Working Paper Series in Economics
46, University of Cologne, Department of Economics.
- Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991.
"The All-Pay Auction With Complete Information,"
Purdue University Economics Working Papers
1007, Purdue University, Department of Economics.
- Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
- Baye, M.R. & Kovenock, D. & De Vries, C., 1992. "The All-Pay Auction with Complete Information," Papers 8-92-1, Pennsylvania State - Department of Economics.
- Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Baye, M. & Kovenock, D. & de Vries, C., 1990. "The All-Pay Auction with Complete Information," Discussion Paper 1990-51, Tilburg University, Center for Economic Research.
- Chen Cohen & Todd R. Kaplan & Aner Sela, 2008.
"Optimal rewards in contests,"
RAND Journal of Economics,
RAND Corporation, vol. 39(2), pages 434-451.
- Dario Sacco & Armin Schmutzler, 2008. "All-Pay Auctions with Negative Prize Externalities: Theory and Experimental Evidence," SOI - Working Papers 0806, Socioeconomic Institute - University of Zurich.
- Amegashie, J. Atsu, 2001. "An all-pay auction with a pure-strategy equilibrium," Economics Letters, Elsevier, vol. 70(1), pages 79-82, January.
- Yeon-Koo Che & Ian L. Gale, 2006.
"Caps on Political Lobbying: Reply,"
American Economic Review,
American Economic Association, vol. 96(4), pages 1355-1360, September.
- Kaplan, Todd, et al, 2002.
"All-Pay Auctions with Variable Rewards,"
Journal of Industrial Economics,
Wiley Blackwell, vol. 50(4), pages 417-430, December.
- Arye L. Hillman & John G. Riley, 1989.
"Politically Contestable Rents And Transfers,"
Economics and Politics,
Wiley Blackwell, vol. 1(1), pages 17-39, 03.
- Ron Siegel, 2010. "Asymmetric Contests with Conditional Investments," American Economic Review, American Economic Association, vol. 100(5), pages 2230-2260, December.
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