The optimal control of a Lévy process

In this thesis we study the optimal stochastic control problem of the drift of a Lévy process. We show that, for a broad class of Lévy processes, the partial integro-differential Hamilton-Jacobi-Bellman equation for the value function admits classical solutions and that control policies exist in fee...

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Bibliographic Details
Main Author: DiTanna, Anthony Santino
Format: Others
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/2152/6652