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|
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- Harris, Christopher & Vickers, John, 1985. "Perfect Equilibrium in a Model of a Race," Review of Economic Studies, Wiley Blackwell, vol. 52(2), pages 193-209, April.
- 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.
- Harris, Christopher & Vickers, John, 1987. "Racing with Uncertainty," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 1-21, January.
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