Racing Under Uncertainty: A Boundary Value Problem Approach
In this paper I formulate a continuous time and continuous space version of Harris and Vickers (1987) Racing Under Uncertainty with potentially asymmetric players. To prove the existence and uniqueness of the equilibria, I use a boundary value problem formulation which is novel to the dynamic competition literature. In some cases, I obtain closed-form solutions of the equilibria in which equilibrium strategies exhibit the discouragement effect similar to the one in the original paper.
|Date of creation:||07 Jan 2010|
|Date of revision:|
|Contact details of provider:|| Postal: Georgetown University Department of Economics Washington, DC 20057-1036|
Web page: http://econ.georgetown.edu/
|Order Information:|| Postal: Roger Lagunoff Professor of Economics Georgetown University Department of Economics Washington, DC 20057-1036|
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- Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 1-21.
- Christopher Harris & John Vickers, 1985. "Perfect Equilibrium in a Model of a Race," Review of Economic Studies, Oxford University Press, vol. 52(2), pages 193-209.
- Reinganum, Jennifer R., 1982.
"Uncertain Innovation and the Persistence of Monopoly,"
431, California Institute of Technology, Division of the Humanities and Social Sciences.
- Reinganum, Jennifer F, 1983. "Uncertain Innovation and the Persistence of Monopoly," American Economic Review, American Economic Association, vol. 73(4), pages 741-48, September.
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