Two-Person Zero-Sum Stochastic Linear-Quadratic Differential Games
From MaRDI portal
Publication:4992013
DOI10.1137/20M1340368zbMath1467.91010arXiv2005.11701OpenAlexW3157127717MaRDI QIDQ4992013
Publication date: 4 June 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11701
Riccati equationsaddle pointopen-loopzero-sumlinear-quadratic differential gametwo-personlower valueupper valueclosed-loop representation
Noncooperative games (91A10) Differential games and control (49N70) Linear-quadratic optimal control problems (49N10) Stochastic games, stochastic differential games (91A15)
Related Items (7)
Zero-Sum Stackelberg Stochastic Linear-Quadratic Differential Games ⋮ Generic uniqueness of saddle point for two-person zero-sum differential games ⋮ StarCraft adversary-agent challenge for pursuit-evasion game ⋮ An addendum to the problem of zero-sum LQ stochastic mean-field dynamic games ⋮ Reinforcement learning for exploratory linear-quadratic two-person zero-sum stochastic differential games ⋮ Mean-field linear-quadratic stochastic differential games ⋮ Mean-field linear-quadratic stochastic differential games in an infinite horizon
Cites Work
- Unnamed Item
- Linear-quadratic mean field games
- Two-person zero-sum linear quadratic stochastic differential games by a Hilbert space method
- Linear-quadratic, two person, zero-sum differential games: Necessary and sufficient conditions
- Linear-quadratic stochastic two-person nonzero-sum differential games: open-loop and closed-loop Nash equilibria
- Backward-forward SDE's and stochastic differential games
- Indefinite stochastic linear-quadratic optimal control problems with random coefficients: closed-loop representation of open-loop optimal controls
- A closed-loop saddle point for zero-sum linear-quadratic stochastic differential games with mean-field type
- Existence of optimal open-loop strategies for a class of differential games
- Open-Loop and Closed-Loop Solvabilities for Stochastic Linear Quadratic Optimal Control Problems
- Linear quadratic stochastic two-person zero-sum differential games in an infinite horizon
- Linear Quadratic Differential Games: An Overview
- Linear Quadratic Differential Games: Closed Loop Saddle Points
- Nonzero sum linear–quadratic stochastic differential games and backward–forward equations
- Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions
- Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems
- Differential Games
- Linear Quadratic Stochastic Differential Games: Open-Loop and Closed-Loop Saddle Points
- Some Results On Two-Person Zero-Sum Linear Quadratic Differential Games
- Linear Quadratic Differential Games: Saddle Point and Riccati Differential Equation
- An Optimal Feedback Control-Strategy Pair For Zero-Sum Linear-Quadratic Stochastic Differential Game: the Riccati Equation Approach
- \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.
This page was built for publication: Two-Person Zero-Sum Stochastic Linear-Quadratic Differential Games