Financial/Actuarial Mathematics

Date:  Thursday, September 29, 2011
Location:  3088 East Hall (3:00 PM to 4:00 PM)

Title:  On the Multi-dimensional controller and stopper games

Abstract:   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.


Speaker:  Yu-Jui Huang
Institution:  University of Michigan

Event Organizer:   Erhan Bayraktar    erhan@umich.edu

 

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