On the Multi-Dimensional Controller and Stopper Games
We consider a zero-sum stochastic differential controller-and-stopper game in which the state process is a controlled diffusion evolving in a multi-dimensional Euclidean space. In this game, the controller affects both the drift and the volatility terms of the state process. Under appropriate conditions, we show that the game has a value and the value function is the unique viscosity solution to an obstacle problem for a Hamilton-Jacobi-Bellman equation.
Year of publication: |
2010-09
|
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Authors: | Bayraktar, Erhan ; Huang, Yu-Jui |
Institutions: | arXiv.org |
Saved in:
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