On a class of non-zero-sum stochastic differential dividend games with regime switching

作者:

Highlights:

• A class of non-zero-sum stochastic differential game problems between two insurers is investigated.

• The objective is to maximize the expected discount utility of surplus relative to a reference point for each insurer.

• The singular control problem is linked to a stopping game.

摘要

•A class of non-zero-sum stochastic differential game problems between two insurers is investigated.•The objective is to maximize the expected discount utility of surplus relative to a reference point for each insurer.•The singular control problem is linked to a stopping game.

论文关键词:Singular stochastic control,Optimal stopping game,Regime-switching

论文评审过程:Received 11 August 2020, Revised 4 November 2020, Accepted 28 December 2020, Available online 14 January 2021, Version of Record 14 January 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.125956