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Multi-battle contests

  • Konrad, Kai A.
  • Kovenock, Dan

We study equilibrium in a multistage race in which players compete in a sequence of simultaneous move component contests. Players may win a prize for winning each component contest, as well as a prize for winning the overall race. Each component contest is an all-pay auction with complete information. We characterize the unique equilibrium analytically and demonstrate that it exhibits endogenous uncertainty. Even a large lead by one player does not fully discourage the other player, and each feasible state is reached with positive probability in equilibrium (pervasiveness). Total effort may exceed the value of the prize by a factor that is proportional to the maximum number of stages. Important applications are to war, sports, and R&D contests and the results have empirical counterparts there.

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File URL: http://www.krannert.purdue.edu/programs/phd/Working-paper-series/Year-2006/1187.pdf
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Paper provided by Purdue University, Department of Economics in its series Purdue University Economics Working Papers with number 1187.

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Length: 33 pages
Date of creation: Mar 2006
Date of revision:
Handle: RePEc:pur:prukra:1187
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  2. 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.
  3. Konrad, Kai A. & Kovenock, Dan, 2005. "Equilibrium and Efficiency in the Tug-of-War," CEPR Discussion Papers 5205, C.E.P.R. Discussion Papers.
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  7. Stefan Szymanski, 2003. "The Economic Design of Sporting Contests," Journal of Economic Literature, American Economic Association, vol. 41(4), pages 1137-1187, December.
  8. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1992. "Rigging the Lobbying Process: An Application of the All- Pay Auction," Papers 9-92-2, Pennsylvania State - Department of Economics.
  9. Ellingsen, T., 1990. "Strategic Buyers and the Social Cost of Monopoly," Papers 05-90, Norwegian School of Economics and Business Administration-.
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  12. Michael R. Baye & Dan Kovenock & Casper G. de Vries, 1997. "The Incidence of Overdissipation in Rent-Seeking Contests," Tinbergen Institute Discussion Papers 97-045/2, Tinbergen Institute.
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