Stability of financial market driven by information delay and liquidity in delay agent-based model

W Zhou, GY Zhong, JC Li - Physica A: Statistical Mechanics and Its …, 2022 - Elsevier
In order to explore the impact of information delay and liquidity on the financial market, we
propose a delay agent-based model from the perspective of micro evolution in financial …

Stochastic maximum principle for control systems with time-varying delay

Y Han, Y Li - Systems & Control Letters, 2024 - Elsevier
In this paper, we study the stochastic optimal control problem for control systems with time-
varying delay. The corresponding state equation is a kind of stochastic differential delay …

A global maximum principle for stochastic optimal control problems with delay and applications

W Meng, J Shi - Systems & Control Letters, 2021 - Elsevier
In this paper, an open problem is solved, for the stochastic optimal control problem with
delay where the control domain is nonconvex and the diffusion term contains both control …

Backward stochastic differential equations with conditional reflection and related recursive optimal control problems

Y Hu, J Huang, W Li - SIAM Journal on Control and Optimization, 2024 - SIAM
We introduce a new type of reflected backward stochastic differential equations (BSDEs) for
which the reflection constraint is imposed on its main solution component, denoted as by …

The roles of liquidity and delay in financial markets based on an optimal forecasting model

GH Yang, SQ Ma, XD Bian, JC Li - Plos one, 2023 - journals.plos.org
We investigate the roles of liquidity and delay in financial markets through our proposed
optimal forecasting model. The efficiency and liquidity of the financial market are examined …

Constrained mean-variance portfolio optimization for jump-diffusion process under partial information

C Zhang, Z Liang - Stochastic Models, 2023 - Taylor & Francis
This article studies a mean-variance portfolio selection problem for a jump-diffusion model,
where the drift process is modulated by a continuous unobservable Markov chain. Since …

Stochastic maximum principle for optimal control problems with mixed delays and noisy observations

H Ma, Y Shi - European Journal of Control, 2024 - Elsevier
In this paper, we study the optimal control problem for the state governed by stochastic
differential equation with delay and partially observed by a noisy process. Some variational …

Research on optimal investment reinsurance of insurance companies under delayed risk model

Y Xiao, Z Qiu - Mathematical Problems in Engineering, 2021 - Wiley Online Library
The reinsurance and investment portfolio of insurance companies has always been a hot
issue in insurance business. In insurance practice, it is inevitable for insurance companies to …

Stochastic Maximum Principle for Control System with Time-varying delay

Y Li, Y Han - arXiv preprint arXiv:2401.07520, 2024 - arxiv.org
In this paper, we study the stochastic optimal control problem for control system with time-
varying delay. The corresponding stochastic differential equation is a kind of stochastic …

[PDF][PDF] Expected power utility maximization with delay for insurers under the 4/2 stochastic volatility model

H Hata, K Yasuda - Mathematical Control and Related Fields, 2022 - scholar.archive.org
In this paper, we are interested in the optimal investment and reinsurance strategies of an
insurer with delay under the 4/2 stochastic volatility model. Indeed, the objective of the …