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

References

• Bai L., Cai J. & Zhou M. (2013). Optimal reinsurance policies for an insurer with a bivariate reserve risk process in a dynamic setting. Insurance: Mathematics and Economics 53, 664–670.
   Web of Science ®Google Scholar
• Bai Y., Zhou Z., Xiao H., Gao R. & Zhong F. (2022). A hybrid stochastic differential reinsurance and investment game with bounded memory. European Journal of Operational Research 296(2), 717–737.
   Web of Science ®Google Scholar
• Bensoussan A., Siu C. C., Yam S. C. P. & Yang H. (2014). A class of non-zero-sum stochastic differential investment and reinsurance games. Automatica 50, 2025–2037.
   Web of Science ®Google Scholar
• Bi J., Cai J. & Zeng Y. (2021). Equilibrium reinsurance-investment strategies with partial information and common shock dependence. Annals of Operations Research 307, 1–24.
   Web of Science ®Google Scholar
• Bi J., Jin H. & Meng Q. (2018). Behavioral mean-variance portfolio selection. European Journal of Operational Research 271, 644–663.
   Web of Science ®Google Scholar
• Bin N., Zhu H. & Zhang C. (2023). Stochastic differential games on optimal investment and reinsurance strategy with delay under the CEV model. Methodology and Computing in Applied Probability 25, 54.
   Web of Science ®Google Scholar
• Björk T., Murgoci A. & Zhou X. (2014). Mean–variance portfolio optimization with state dependent risk aversion. Mathematical Finance 24, 1–24.
   Web of Science ®Google Scholar
• Browne S. (2000). Stochastic differential portfolio game. Journal of Applied Probability 37, 126–147.
   Web of Science ®Google Scholar
• Ceci C., Colaneri K. & Cretarola A. (2022). Optimal reinsurance and investment under common shock dependence between financial and actuarial markets. Insurance: Mathematics and Economics 105, 252–278.
   Web of Science ®Google Scholar
• Centeno M. (2005). Dependent risks and excess of loss reinsurance. Insurance: Mathematics and Economics 37, 229–238.
   Web of Science ®Google Scholar
• Chen S., Yang H. & Zeng Y. (2018). Stochastic differential games between two insurers with generalized mean–variance premium principle. ASTIN Bulletin 48(1), 413–434.
   Web of Science ®Google Scholar
• Chen M., Yuen K. C. & Wang W. (2021). Optimal reinsurance and dividends with transaction costs and taxes under thinning structure. Scandinavian Actuarial Journal 3, 198–217.
   Google Scholar
• Chen M., Zhou M., Liu H. & Yuen K. C. (2022). Optimal dividends and reinsurance with capital injection under thinning dependence. Communications in Statistics-Theory and Methods 51(16), 5728–5749.
   Web of Science ®Google Scholar
• Deng C., Zeng X. & Zhu H. (2018). Non-zero-sum stochastic differential reinsurance and investment games with default risk. European Journal of Operational Research 264(3), 1144–1158.
   Web of Science ®Google Scholar
• Dong X., Rong X. & Zhao H. (2023). Non-zero-sum reinsurance and investment game with correlation between insurance market and financial market under CEV model. Journal of Industrial and Management Optimization 19(6), 4255–4293.
   Web of Science ®Google Scholar
• Gu A., Chen S., Li Z. & Viens F. G. (2022). Optimal reinsurance pricing with ambiguity aversion and relative performance concerns in the principal-agent model. Scandinavian Actuarial Journal 9, 749–774.
   Google Scholar
• Guan G. & Hu X. (2022). Time-consistent investment and reinsurance strategies for mean–variance insurers in N-agent and mean-field games. North American Actuarial Journal 26(4), 537–569.
   Web of Science ®Google Scholar
• Han X., Liang Z. & Yuen K. C. (2018). Optimal proportional reinsurance to minimize the probability of drawdown under thinning-dependence structure. Scandinavian Actuarial Journal 10, 863–889.
   Web of Science ®Google Scholar
• Li S., Yuan W. & Chen P. (2023). Optimal control on investment and reinsurance strategies with delay and common shock dependence in a jump-diffusion financial market. Journal of Industrial and Management Optimization 19(4), 2855–2888.
   Web of Science ®Google Scholar
• Liang Z., Bi J., Yuen K. C. & Zhang C. (2016). Optimal mean–variance reinsurance and investment in a jump-diffusion financial market with common shock dependence. Mathematical Methods of Operations Research 84(1), 155–181.
   Web of Science ®Google Scholar
• Liang Z. & Yuen K. C. (2016). Optimal dynamic reinsurance with dependent risks: variance premium principle. Scandinavian Actuarial Journal 1, 18–36.
   Web of Science ®Google Scholar
• Meng H., Li S. & Jin Z. (2015). A reinsurance game between two insurance companies with nonlinear risk processes. Insurance: Mathematics and Economics 62, 91–97.
   Web of Science ®Google Scholar
• Pun C. S. & Wong H. Y. (2016). Robust non-zero-sum stochastic differential reinsurance game. Insurance: Mathematics and Economics 68, 169–177.
   Web of Science ®Google Scholar
• Siu C. C., Yam S. C. P., Yang H. & Zhao H. (2017). A class of non zero-sum investment and reinsurance games subject to systematic risks. Scandinavian Actuarial Journal 8, 670–707.
   Google Scholar
• Wang G. & Yuen K. C. (2005). On a correlated aggregate claims model with thinning-dependence structure. Insurance: Mathematics and Economics 36, 456–468.
   Web of Science ®Google Scholar
• Wang N., Zhang N., Jin Z. & Qian L. (2021). Reinsurance–investment game between two mean–variance insurers under model uncertainty. Journal of Computational and Applied Mathematics 382, 113095.
   Web of Science ®Google Scholar
• Yan M. (2017). A reinsurance and investment game between two insurance companies with the different opinions about some extra information. Insurance: Mathematics and Economics 75, 58–70.
   Web of Science ®Google Scholar
• Yang P., Chen Z. & Xu Y. (2020). Time-consistent equilibrium reinsurance–investment strategy for n competitive insurers under a new interaction mechanism and a general investment framework. Journal of Computational and Applied Mathematics 374, 112769.
   Web of Science ®Google Scholar
• Yuan Y., Han X., Liang Z. & Yuen K. C. (2023). Optimal reinsurance–investment strategy with thinning dependence and delay factors under mean–variance framework. European Journal of Operational Research 311, 581–595.
   Web of Science ®Google Scholar
• Yuen K. C. & Wang G. (2002). Comparing two models with dependent classes of business. In Proceedings of the 36th Actuarial Research Conference. ARCH (Society of Actuaries).
   Google Scholar
• Zeng Y. & Li Z. (2011). Optimal time-consistent investment and reinsurance policies for mean–variance insurers. Insurance: Mathematics and Economics 49, 145–154.
   Web of Science ®Google Scholar
• Zhang C. & Liang Z. (2021). Optimal time-consistent reinsurance strategies for mean–variance insurers under thinning dependence structure. Stochastic Analysis and Applications 39, 195–223.
   Web of Science ®Google Scholar
• Zhou X. & Yin G. (2003). Markowitz's mean-variance portfolio selection with regime switching: a continuous-time model. SIAM Journal on Control and Optimization 42, 1466–1482.
   Web of Science ®Google Scholar
• Zhu H., Cao M. & Zhang C. (2019). Time-consistent investment and reinsurance strategies for mean–variance insurers with relative performance concerns under the Heston model. Finance Research Letters 30, 280–291.
   Web of Science ®Google Scholar
• Zhu H., Cao M. & Zhu Y. (2021). Non-zero-sum reinsurance and investment game between two mean–variance insurers under the CEV model. Optimization 70(12), 2579–2906.
   Web of Science ®Google Scholar
• Zhu J., Guan G. & Li S. (2020). Time-consistent non-zero-sum stochastic differential reinsurance and investment game under default and volatility risks. Journal of Computational and Applied Mathematics374, 112737.
   Web of Science ®Google Scholar