Discrete-time risk-aware optimal switching with non-adapted costs
Optimization and Control
2022-08-09 v4 Probability
Mathematical Finance
Abstract
We solve non-Markovian optimal switching problems in discrete time on an infinite horizon, when the decision maker is risk aware and the filtration is general, and establish existence and uniqueness of solutions for the associated reflected backward stochastic difference equations. An example application to hydropower planning is provided.
Cite
@article{arxiv.1910.04047,
title = {Discrete-time risk-aware optimal switching with non-adapted costs},
author = {Randall Martyr and John Moriarty and Magnus Perninge},
journal= {arXiv preprint arXiv:1910.04047},
year = {2022}
}
Comments
29 pages including references. Keywords: infinite horizon, optimal switching, risk measures, reflected backward stochastic difference equations, hydropower planning. Fixed some typos; tidied up the presentation; added new numerical example on hydropower planning. To appear in Journal of/Advances in Applied Probability