English

Risk sensitive optimal stopping

Optimization and Control 2021-03-31 v1 Probability

Abstract

In this paper we consider discrete and continuous time risk sensitive optimal stopping problem. Using suitable properties of the underlying Feller-Markov process we prove continuity of the optimal stopping value function and provide formula for the optimal stopping policy. Next, we show how to link continuous time framework with its discrete time analogue. By considering suitable approximations, we obtain uniform convergence of the corresponding value functions.

Keywords

Cite

@article{arxiv.1912.02486,
  title  = {Risk sensitive optimal stopping},
  author = {Damian Jelito and Marcin Pitera and Łukasz Stettner},
  journal= {arXiv preprint arXiv:1912.02486},
  year   = {2021}
}
R2 v1 2026-06-23T12:36:41.312Z