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Optimal Stopping in General Predictable Framework

Probability 2018-12-06 v1

Abstract

In this paper, we study the optimal stopping problem in the case where the reward is given by a family (ϕ(τ),    τ\stopo)(\phi(\tau ),\;\;\tau \in \stopo) of non negative random variables indexed by predictable stopping times. We treat the problem by means of Snell's envelope techniques. We prove some properties of the value function family associated to this setting.

Keywords

Cite

@article{arxiv.1812.01759,
  title  = {Optimal Stopping in General Predictable Framework},
  author = {Siham Bouhadou and Youssef Ouknine},
  journal= {arXiv preprint arXiv:1812.01759},
  year   = {2018}
}