English

Stopping games in continuous time

Optimization and Control 2007-05-23 v1 Probability

Abstract

We study two-player zero-sum stopping games in continuous time and infinite horizon. We prove that the value in randomized stopping times exists as soon as the payoff processes are right-continuous. In particular, as opposed to existing literature, we do not assume any conditions on the relations between the payoff processes. We also show that both players have simple epsilon- optimal randomized stopping times; namely, randomized stopping times which are small perturbations of non-randomized stopping times.

Keywords

Cite

@article{arxiv.math/0306279,
  title  = {Stopping games in continuous time},
  author = {Rida Laraki and Eilon Solan},
  journal= {arXiv preprint arXiv:math/0306279},
  year   = {2007}
}

Comments

21 pages