Linear–quadratic stochastic leader–follower differential games for Markov jump-diffusion models

J Moon - Automatica, 2023 - Elsevier
This paper considers the linear–quadratic (LQ) leader–follower Stackelberg differential
game for Markov jump-diffusion stochastic differential equations (SDEs). We first obtain the …

Stochastic linear-quadratic optimal control problems with random coefficients and Markovian regime switching system

J Wen, X Li, J Xiong, X Zhang - SIAM Journal on Control and Optimization, 2023 - SIAM
This paper thoroughly investigates stochastic linear-quadratic optimal control problems with
the Markovian regime switching system, where the coefficients of the state equation and the …

Novel closed-loop controllers for fractional linear quadratic time-varying systems

I Malmir - Numerical Algebra, Control and Optimization, 2024 - aimsciences.org
A novel method for finding the closed-loop optimal controllers of the finite-time fractional
linear quadratic regulator systems is introduced. The necessary optimality conditions for the …

Linear quadratic leader–follower stochastic differential games for mean-field switching diffusions

S Lv, J Xiong, X Zhang - Automatica, 2023 - Elsevier
In this paper, we consider a linear quadratic (LQ) leader–follower stochastic differential
game for regime switching diffusions with mean-field interactions. One of the salient features …

Weak closed-loop solvability of stochastic linear quadratic optimal control problems of Markovian regime switching system

J Wen, X Li, J Xiong - Applied Mathematics & Optimization, 2021 - Springer
In this paper, we investigate open-loop and weak closed-loop solvabilities of stochastic
linear quadratic (LQ, for short) optimal control problem of Markovian regime switching …

Renegotiation and dynamic inconsistency: contracting with non-exponential discounting

D Cetemen, FZ Feng, C Urgun - Journal of Economic Theory, 2023 - Elsevier
This paper studies a continuous-time, finite-horizon contracting problem with renegotiation
and dynamic inconsistency arising from non-exponential discounting. The problem is …

Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps

F Wu, J Xiong, X Zhang - Applied Mathematics & Optimization, 2024 - Springer
This paper investigates a zero-sum Stackelberg stochastic linear-quadratic differential game
with jumps. The coefficients of the state equation and the weighting matrices in the …

Linear-Quadratic Optimal Control for Mean-Field Stochastic Differential Equations in Infinite-Horizon with Regime Switching

H Mei, Q Wei, J Yong - arXiv preprint arXiv:2501.00981, 2025 - arxiv.org
This paper is concerned with stochastic linear quadratic (LQ, for short) optimal control
problems in an infinite horizon with conditional mean-field term in a switching regime …

Linear-quadratic optimal control problem for mean-field stochastic differential equations with a type of random coefficients

H Mei, Q Wei, J Yong - arXiv preprint arXiv:2308.00335, 2023 - arxiv.org
Motivated by linear-quadratic optimal control problems (LQ problems, for short) for mean-
field stochastic differential equations (SDEs, for short) with the coefficients containing regime …

Stochastic linear-quadratic differential game with Markovian jumps in an infinite horizon

F Wu, X Li, J Xiong, X Zhang - arXiv preprint arXiv:2408.12818, 2024 - arxiv.org
This paper investigates a two-person non-homogeneous linear-quadratic stochastic
differential game (LQ-SDG, for short) in an infinite horizon for a system regulated by a time …