English

A probabilistic verification theorem for the finite horizon two-player zero-sum optimal switching game in continuous time

Optimization and Control 2018-06-04 v1 Probability

Abstract

In this paper we study continuous-time two-player zero-sum optimal switching games on a finite horizon. Using the theory of doubly reflected BSDEs with interconnected barriers, we show that this game has a value and an equilibrium in the players' switching controls.

Keywords

Cite

@article{arxiv.1806.00345,
  title  = {A probabilistic verification theorem for the finite horizon two-player zero-sum optimal switching game in continuous time},
  author = {Said Hamadène and Randall Martyr and John Moriarty},
  journal= {arXiv preprint arXiv:1806.00345},
  year   = {2018}
}

Comments

18 pages