SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS, LINEAR QUADRATIC STOCHASTIC OPTIMAL CONTROL AND NONZERO SUM DIFFERENTIAL GAMES
8 references·10 citing·33 second hop
FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS, LINEAR QUADRATIC STOCHASTIC OPTIMAL CONTROL AND NONZERO SUM DIFFERENTIAL GAMES (2005)FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL …Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs. II (2000)Stochastic Linear Quadratic R…Nonzero sum linear–quadratic stochastic differential games and backward–forward equations (1999)Nonzero sum linear–quadratic …Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control (1999)Fully Coupled Forward-Backwar…Finding adapted solutions of forward–backward stochastic differential equations: method of continuation (1997)Finding adapted solutions of …Solution of forward-backward stochastic differential equations (1995)Solution of forward-backward …Solving forward-backward stochastic differential equations explicitly — a four step scheme (1994)Solving forward-backward stoc…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…Points de Nash Dans le Cas de Fonctionnelles Quadratiques et Jeux Differentiels lineaires a N Personnes (1974)Points de Nash Dans le Cas de…Two-player zero-sum stochastic differential games with regime switching (2020)Two-player zero-sum stochasti…General linear forward and backward Stochastic difference equations with applications (2018)General linear forward and ba…Maximum Principle for Nonzero-Sum Stochastic Differential Game With Delays (2014)Maximum Principle for Nonzero…Equivalent cost functionals and stochastic linear quadratic optimal control problems (2012)Equivalent cost functionals a…Delayed Stochastic Linear‐Quadratic Control Problem and Related Applications (2012)Delayed Stochastic Linear‐Qua…Maximum principle for differential games of forward–backward stochastic systems with applications (2011)Maximum principle for differe…Linear−quadratic optimal control and nonzero‐sum differential game of forward−backward stochastic system (2011)Linear−quadratic optimal cont…A type of general forward-backward stochastic differential equations and applications (2011)A type of general forward-bac…Maximum principle for forward-backward doubly stochastic control systems and applications (2010)Maximum principle for forward…Linear-quadratic nonzero-sum differential game of backward stochastic differential equations (2008)Linear-quadratic nonzero-sum …A General Stochastic Maximum Principle for Optimal Control Problems (1990)Backward Stochastic Differential Equations in Finance (1997)On the existence and uniqueness of solutions to FBSDEs in a non-degenerate case (2002)Nonlinear Expectations, Nonlinear Evaluations and Risk Measures (2004)Probabilistic Analysis of Mean-Field Games (2013)Backward–forward SDE’s and stochastic differential games (1998)Brownian Motion and Stochastic Calculus (1998)Nash Equilibrium Payoffs for Nonzero-Sum Stochastic Differential Games (2004)Brownian Motion and Stochastic Calculus (2007)Some Recent Aspects of Differential Game Theory (2010)Controlled Diffusion Processes (1980)Stochastic Integration and Differential Equations (1990)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)A regression-based Monte Carlo method to solve backward stochastic differential equations (2005)Brownian Motion and Stochastic Calculus. (1989)Optimality Variational Principle for Controlled Forward-Backward Stochastic Differential Equations with Mixed Initial-Terminal Conditions (2010)Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications (2011)On well-posedness of forward–backward SDEs—A unified approach (2015)Forward-backward stochastic differential equations and quasilinear parabolic PDEs (1999)Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Stochastic Controls (1999)Stochastic Maximum Principle for Optimal Control Problems of Forward-Backward Systems Involving Impulse Controls (2011)Maximum principle for optimal control of anticipated forward–backward stochastic differential delayed systems with regime switching (2015)Recurrent neural networks for stochastic control problems with delay (2021)Stochastic controls : Hamiltonian systems and HJB equations (1999)Dynamic Mean-Variance Portfolio Selection with No-Shorting Constraints (2002)Mean-Variance Portfolio Selection with Random Parameters in a Complete Market (2002)Maximum principle for optimal control of fully coupled forward-backward stochastic differential delayed equations (2012)A Nonzero Sum Differential Game of BSDE With Time-Delayed Generator and Applications (2015)Infinite horizon jump-diffusion forward-backward stochastic differential equations and their application to backward linear-quadratic problems (2016)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (2000)Two-stage non-cooperative games with risk-averse players (2017)Linear–quadratic stochastic two-person nonzero-sum differential games: Open-loop and closed-loop Nash equilibria (2018)
this work references cited by second hop

References

  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1994Solving forward-backward stochastic differential equations explicitly — a four step scheme740 cited
  • 1999Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control494 cited
  • 1995Solution of forward-backward stochastic differential equations402 cited
  • 2000Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs. II340 cited
  • 1997Finding adapted solutions of forward–backward stochastic differential equations: method of continuation189 cited
  • 1974Points de Nash Dans le Cas de Fonctionnelles Quadratiques et Jeux Differentiels lineaires a N Personnes107 cited
  • 1999Nonzero sum linear–quadratic stochastic differential games and backward–forward equations79 cited

Cited by

  • 2011Linear−quadratic optimal control and nonzero‐sum differential game of forward−backward stochastic system46 cited
  • 2012Delayed Stochastic Linear‐Quadratic Control Problem and Related Applications43 cited
  • 2014Maximum Principle for Nonzero-Sum Stochastic Differential Game With Delays40 cited
  • 2018General linear forward and backward Stochastic difference equations with applications31 cited
  • 2012Equivalent cost functionals and stochastic linear quadratic optimal control problems29 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

2010
Maximum principle for forward-backward doubly stochastic control systems and applications
27 cited
  • 2011A type of general forward-backward stochastic differential equations and applications26 cited
  • 2020Two-player zero-sum stochastic differential games with regime switching23 cited
  • 2008Linear-quadratic nonzero-sum differential game of backward stochastic differential equations19 cited
  • 2011Maximum principle for differential games of forward–backward stochastic systems with applications18 cited