Robust optimal portfolio and proportional reinsurance for an insurer under a CEV model

X Zheng, J Zhou, Z Sun - Insurance: Mathematics and Economics, 2016 - Elsevier
We investigate a robust optimal portfolio and reinsurance problem under a Cramér–
Lundberg risk model for an ambiguity-averse insurer (AAI), who worries about uncertainty in …

Optimal reinsurance strategies in regime-switching jump diffusion models: Stochastic differential game formulation and numerical methods

Z Jin, G Yin, F Wu - Insurance: Mathematics and Economics, 2013 - Elsevier
This work develops a stochastic differential game model between two insurance companies
who adopt the optimal reinsurance strategies to reduce the risk. The surplus is modeled by a …

A hybrid deep learning method for optimal insurance strategies: Algorithms and convergence analysis

Z Jin, H Yang, G Yin - Insurance: Mathematics and Economics, 2021 - Elsevier
This paper develops a hybrid deep learning approach to find optimal reinsurance,
investment, and dividend strategies for an insurance company in a complex stochastic …

Numerical methods for optimal dividend payment and investment strategies of regime-switching jump diffusion models with capital injections

Z Jin, H Yang, GG Yin - Automatica, 2013 - Elsevier
This work focuses on numerical methods for finding optimal investment, dividend payment,
and capital injection policies to maximize the present value of the difference between the …

[HTML][HTML] Optimal risk sharing and dividend strategies under default contagion: A semi-analytical approach

M Qiu, Z Jin, S Li - Insurance: Mathematics and Economics, 2023 - Elsevier
We investigate the risk control and dividend optimization problem of an insurance group in a
general setting and propose an innovative semi-analytical approach to the problem. The …

Optimal harvesting under marine reserves and uncertain environment

M Gaïgi, VL Vath, S Scotti - European Journal of Operational Research, 2022 - Elsevier
Persistence in the literature is the perception of an inherent tradeoff between ecological
conservation and economic harvesting goals. Overexploitation may lead to resource …

A survey of numerical solutions for stochastic control problems: Some recent progress

Z Jin, M Qiu, KQ Tran, G Yin - Numerical Algebra, Control and …, 2022 - aimsciences.org
This paper presents a survey on some of the recent progress on numerical solutions for
controlled switching diffusions. We begin by recalling the basics of switching diffusions and …

Optimal harvesting strategies for stochastic competitive Lotka–Volterra ecosystems

K Tran, G Yin - Automatica, 2015 - Elsevier
This work develops optimal harvest strategies for Lotka–Volterra systems so as to establish
economically, ecologically, and environmentally reasonable strategies for populations …

Numerical methods for optimal harvesting strategies in random environments under partial observations

K Tran, G Yin - Automatica, 2016 - Elsevier
This work is concerned with optimal harvesting problems in random environments. In
contrast to the existing literature, the Markov chain is hidden and can only be observed in a …

Numerical solutions of optimal stopping problems for a class of hybrid stochastic systems

PA Ernst, X Ma, MH Nazari, H Qian, G Yin - Nonlinear Analysis: Hybrid …, 2024 - Elsevier
This paper is devoted to numerically solving a class of optimal stopping problems for
stochastic hybrid systems involving both continuous states and discrete events. The …