Two-Player Asymmetric Contests with Ratio-Form Contest Success Functions
AbstractI examine players' equilibrium effort levels in two-player asymmetric contests with ratio-form contest success functions. I first characterize the Nash equilibrium of the simultaneous-move game. I show that the equilibrium effort ratio is equal to the valuation ratio, and that the prize dissipation ratios for the players are the same. I also show that the prize dissipation ratio for each player is less than or equal to the minimum of the players' probabilities of winning at the Nash equilibrium and thus never exceeds a half. Then I examine how the equilibrium effort ratio, the prize dissipation ratios, and the players' equilibrium effort levels respond when the players' valuations for the prize or their abilities change. (JEL D72, C72) Copyright 2004, Oxford University Press.
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Bibliographic InfoArticle provided by Western Economic Association International in its journal Economic Inquiry.
Volume (Year): 42 (2004)
Issue (Month): 4 (October)
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- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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- Blavatskyy, Pavlo R., 2010. "Contest success function with the possibility of a draw: Axiomatization," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 267-276, March.
- Gürtler, Oliver, 2006. "Contractual Incentive Provision and Commitment in Rent-Seeking Contests," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 100, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Malueg, David A. & Yates, Andrew J., 2005. "Equilibria and comparative statics in two-player contests," European Journal of Political Economy, Elsevier, vol. 21(3), pages 738-752, September.
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