English

Non-linear non-zero-sum Dynkin games with Bermudan strategies

Optimization and Control 2023-11-03 v1 Probability Computational Finance

Abstract

In this paper, we study a non-zero-sum game with two players, where each of the players plays what we call Bermudan strategies and optimizes a general non-linear assessment functional of the pay-off. By using a recursive construction, we show that the game has a Nash equilibrium point.

Keywords

Cite

@article{arxiv.2311.01086,
  title  = {Non-linear non-zero-sum Dynkin games with Bermudan strategies},
  author = {Miryana Grigorova and Marie-Claire Quenez and Yuan Peng},
  journal= {arXiv preprint arXiv:2311.01086},
  year   = {2023}
}
R2 v1 2026-06-28T13:09:25.827Z