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An Optimal Feedback Control-Strategy Pair For Zero-Sum Linear-Quadratic Stochastic Differential Game: the Riccati Equation Approach
16 references·5 citing·34 second hop
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References

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  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1999Stochastic controls : Hamiltonian systems and HJB equations1,780 cited
  • 2007Forward-Backward Stochastic Differential Equations and their Applications675 cited
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  • 2008Stochastic Differential Games and Viscosity Solutions of Hamilton–Jacobi–Bellman–Isaacs Equations200 cited
  • 2002A Leader-Follower Stochastic Linear Quadratic Differential Game185 cited
  • 2003General Linear Quadratic Optimal Stochastic Control Problems with Random Coefficients: Linear Stochastic Hamilton Systems and Backward Stochastic Riccati Equations172 cited
  • 2007Stochastic Differential Games and Viscosity Solutions of Hamilton-Jacobi-Bellman-Isaacs Equations166 cited
  • 2015On well-posedness of forward–backward SDEs—A unified approach

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151 cited
  • 2010A Pontryagin's Maximum Principle for Non-Zero Sum Differential Games of BSDEs with Applications94 cited
  • 2011A partial information non-zero sum differential game of backward stochastic differential equations with applications90 cited
  • Cited by

    • 2019Controllability of Stochastic Game-Based Control Systems44 cited
    • 2018Risk-Sensitive Zero-Sum Differential Games43 cited
    • 2020Linear–quadratic mean field stochastic zero-sum differential games36 cited
    • 2021Mean-field linear-quadratic stochastic differential games in an infinite horizon25 cited
    • 2020Two-player zero-sum stochastic differential games with regime switching23 cited