Linear-quadratic stochastic two-person nonzero-sum differential games: open-loop and closed-loop Nash equilibria
DOI10.1016/j.spa.2018.03.002zbMath1405.91025arXiv1607.04526OpenAlexW2963004325MaRDI QIDQ1713461
Publication date: 25 January 2019
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.04526
stochastic differential equationNash equilibriumopen-loopRiccati differential equationlinear-quadratic differential gameclosed-looptwo-personnonzero-sum
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Differential games and control (49N70) 2-person games (91A05) Differential games (aspects of game theory) (91A23) Linear-quadratic optimal control problems (49N10) Stochastic games, stochastic differential games (91A15)
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Cites Work
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- A BSDE approach to Nash equilibrium payoffs for stochastic differential games with nonlinear cost functionals
- Linear forward-backward stochastic differential equations with random coefficients
- Linear forward-backward stochastic differential equations
- Forward-backward stochastic differential equations and their applications
- Forward-backward stochastic differential equations and quasilinear parabolic PDEs
- Backward-forward stochastic differential equations
- Solving forward-backward stochastic differential equations explicitly -- a four step scheme
- Finding adapted solutions of forward-backward stochastic differential equations: Method of continuation
- Backward-forward SDE's and stochastic differential games
- Solution of forward-backward stochastic differential equations
- Two different approaches to nonzero-sum stochastic differential games
- Generalized Riccati equations arising in stochastic games
- Stochastic differential games
- A global theory for linear-quadratic differential games
- BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations.
- Non-cooperative 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
- Nonzero sum linear–quadratic stochastic differential games and backward–forward equations
- Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control
- Nash Equilibrium Payoffs for Nonzero-Sum Stochastic Differential Games
- Forward-backward stochastic differential equations with mixed initial-terminal conditions
- Linear Quadratic Stochastic Differential Games: Open-Loop and Closed-Loop Saddle Points
- Existence of Nash equilibrium points for Markovian non-zero-sum stochastic differential games with unbounded coefficients
- Points de Nash Dans le Cas de Fonctionnelles Quadratiques et Jeux Differentiels lineaires a N Personnes