Reinsurance–investment game between two mean–variance insurers under model uncertainty

N Wang, N Zhang, Z Jin, L Qian - Journal of Computational and Applied …, 2021 - Elsevier
This paper investigates a class of robust non-zero-sum reinsurance–investment stochastic
differential games between two competing insurers under the time-consistent mean …

Time-Consistent Investment and Reinsurance Strategies for Mean–Variance Insurers in N-Agent and Mean-Field Games

G Guan, X Hu - North American Actuarial Journal, 2022 - Taylor & Francis
In this study, we investigate the competition among insurers under the mean–variance
criterion. The optimization problems are formulated for finite and infinite insurers. The …

Time-consistent reinsurance-investment games for multiple mean-variance insurers with mispricing and default risks

Y Yang, G Wang, J Yao - Insurance: Mathematics and Economics, 2024 - Elsevier
This paper studies a non-zero-sum stochastic differential game for multiple mean-variance
insurers. Insurers can purchase proportional reinsurance and invest in a risk-free asset, a …

Non-zero-sum reinsurance and investment game with non-trivial curved strategy structure under Ornstein–Uhlenbeck process

X Dong, X Rong, H Zhao - Scandinavian Actuarial Journal, 2023 - Taylor & Francis
This paper investigates a non-zero-sum stochastic differential game between two
competitive CARA insurers, where we adopt the different classes of premium principles …

Equilibrium reinsurance strategies for n insurers under a unified competition and cooperation framework

P Yang, Z Chen, X Cui - Scandinavian Actuarial Journal, 2021 - Taylor & Francis
We propose a unified competition and cooperation framework for n insurers and investigate
the resulting reinsurance game problem. Each insurer's surplus is assumed to be a diffusion …

Time-consistent investment and reinsurance strategies for mean-variance insurers under stochastic interest rate and stochastic volatility

J Zhu, S Li - Mathematics, 2020 - mdpi.com
This paper studies the time-consistent optimal investment and reinsurance problem for
mean-variance insurers when considering both stochastic interest rate and stochastic …

The role of health in consumption and portfolio decision-making: Insights from state-dependent models

A Chen, T Nguyen, L Qian, Z Yang - Journal of Computational and Applied …, 2024 - Elsevier
In this paper, we study an optimal consumption and asset allocation problem accounting for
the fact that individuals' utility differs across various health states. Our study is based on the …

A non-zero-sum stochastic differential game between two mean-variance insurers with inside information.

F Chen, Z He, X Peng - Journal of Industrial & Management …, 2023 - search.ebscohost.com
This paper is devoted to the study of a non-zero-sum investment-reinsurance game between
two insurers with different opinions about some inside information. Each insurer is …

Stochastic differential reinsurance game for two competitive insurers with ambiguity-aversion under mean-variance premium principle

Y Yuan, K Wang, C Zhang - Annals of Operations Research, 2024 - Springer
In this paper, we design a competition framework for two insurers with ambiguity aversion
under the utility framework and investigate the resulting stochastic reinsurance game …

Non-zero-sum reinsurance and investment game under thinning dependence structure: mean–variance premium principle

C Zhang, Z Liang - Scandinavian Actuarial Journal, 2024 - Taylor & Francis
This paper considers a non-zero-sum stochastic differential reinsurance and investment
game between two competitive insurers under the expected exponential utility. It is assumed …