Infinite Horizon Stochastic Impulse Control with Delay and Random Coefficients
Probability
2019-05-21 v2
Abstract
We study a class of infinite horizon impulse control problems with execution delay when the dynamics of the system is described by a general adapted stochastic process. The problem is solved by means of probabilistic tools relying on the notion of Snell envelope and infinite horizon reflected backward stochastic differential equations. This allows us to establish the existence of an optimal strategy over all admissible strategies.
Cite
@article{arxiv.1904.11924,
title = {Infinite Horizon Stochastic Impulse Control with Delay and Random Coefficients},
author = {Boualem Djehiche and Said Hamadene and Ibtissem Hdhiri and Helmi Zaatra},
journal= {arXiv preprint arXiv:1904.11924},
year = {2019}
}
Comments
29 pages