English

Optimal stopping for dynamic risk measures with jumps and obstacle problems

Optimization and Control 2014-07-01 v2

Abstract

We study the optimal stopping problem for a monotonous dynamic risk measure induced by a BSDE with jumps in the Markovian case. We show that the value function is a viscosity solution of an obstacle problem for a partial integro-differential variational inequality, and we provide an uniqueness result for this obstacle problem.

Keywords

Cite

@article{arxiv.1404.4600,
  title  = {Optimal stopping for dynamic risk measures with jumps and obstacle problems},
  author = {Roxana Dumitrescu and Marie-Claire Quenez and Agnès Sulem},
  journal= {arXiv preprint arXiv:1404.4600},
  year   = {2014}
}
R2 v1 2026-06-22T03:53:13.755Z