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.

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Year of publication:	2010-09
Authors:	Bayraktar, Erhan ; Huang, Yu-Jui
Institutions:	arXiv.org

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Extent:	application/pdf
Series:	Papers.
Type of publication:	Book / Working Paper
Language:	English
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008492729