Discrete-time non-zero-sum games with completely unknown dynamics

R Song, Q Wei, H Zhang… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this article, off-policy reinforcement learning (RL) algorithm is established to solve the
discrete-time N-player nonzero-sum (NZS) games with completely unknown dynamics. The …

Leader–follower stochastic differential game with asymmetric information and applications

J Shi, G Wang, J **ong - Automatica, 2016 - Elsevier
This paper is concerned with a leader–follower stochastic differential game with asymmetric
information, where the information available to the follower is based on some sub-σ-algebra …

A general maximum principle for optimal control of forward–backward stochastic systems

Z Wu - Automatica, 2013 - Elsevier
A general maximum principle for optimal control problems derived by forward–backward
stochastic systems is established, where control domains are non-convex and forward …

Generalized risk-sensitive optimal control and Hamilton–Jacobi–Bellman equation

J Moon - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
In this article, we consider the generalized risk-sensitive optimal control problem, where the
objective functional is defined by the controlled backward stochastic differential equation …

Maximum principle for discrete-time stochastic optimal control problem and stochastic game.

Z Wu, F Zhang - Mathematical Control & Related fields, 2022 - search.ebscohost.com
This paper is first concerned with one kind of discrete-time stochastic optimal control
problem with convex control domains, for which necessary condition in the form of …

A partial information non-zero sum differential game of backward stochastic differential equations with applications

G Wang, Z Yu - Automatica, 2012 - Elsevier
This paper is concerned with a new kind of non-zero sum differential game of backward
stochastic differential equations (BSDEs). It is required that the control is adapted to a sub …

An optimal feedback control-strategy pair for zero-sum linear-quadratic stochastic differential game: the Riccati equation approach

Z Yu - SIAM journal on control and optimization, 2015 - SIAM
In this paper, we study a two-person zero-sum linear-quadratic stochastic differential game
problem. From a new viewpoint, we construct an optimal feedback control-strategy pair for …

Risk-sensitive zero-sum differential games

J Moon, TE Duncan, T Başar - IEEE Transactions on Automatic …, 2018 - ieeexplore.ieee.org
We consider two-player risk-sensitive zero-sum differential games (RSZSDGs). In our
problem setup, both the drift term and the diffusion term in the controlled stochastic …

The equivalence conditions of optimal feedback control-strategy operators for zero-sum linear quadratic stochastic differential game with random coefficients

C Tang, J Liu - Symmetry, 2023 - mdpi.com
From the previous work, when solving the LQ optimal control problem with random
coefficients (SLQ, for short), it is remarkably shown that the solution of the backward …

A kind of LQ non-zero sum differential game of backward stochastic differential equation with asymmetric information

G Wang, H **ao, J **ong - Automatica, 2018 - Elsevier
This paper focuses on a kind of LQ non-zero sum differential game driven by backward
stochastic differential equation with asymmetric information, which is a natural continuation …