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Dynamic Programming Principle for One Kind of Stochastic Recursive Optimal Control Problem and Hamilton–Jacobi–Bellman Equation
11 references·3 citing·32 second hop
Dynamic Programming Principle for One Kind of Stochastic Recursive Optimal Control Problem and Hamilton–Jacobi–Bellman Equation (2008)Dynamic Programming Principle for One Kin…Stochastic Differential Games and Viscosity Solutions of Hamilton–Jacobi–Bellman–Isaacs Equations (2008)Stochastic Differential Games…Stochastic Differential Games and Viscosity Solutions of Hamilton-Jacobi-Bellman-Isaacs Equations (2007)Stochastic Differential Games…Reflected BSDEs and mixed game problem (2000)Reflected BSDEs and mixed gam…A Converse Comparison Theorem for BSDEs and Related Properties of g-Expectation (2000)A Converse Comparison Theorem…Reflected solutions of backward SDE's, and related obstacle problems for PDE's (1997)Reflected solutions of backwa…Backward Stochastic Differential Equations in Finance (1997)Backward Stochastic Different…Backward stochastic differential equations and integral-partial differential equations (1997)Backward stochastic different…Backward stochastic differential equations with reflection and Dynkin games (1996)Backward stochastic different…Stochastic Differential Utility (1992)Stochastic Differential Utili…A Generalized dynamic programming principle and hamilton-jacobi-bellman equation (1992)A Generalized dynamic program…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…Probabilistic interpretation for a system of quasilinear parabolic partial differential equation combined with algebra equations (2014)Probabilistic interpretation …A Stochastic Recursive Optimal Control Problem Under the G-expectation Framework (2014)A Stochastic Recursive Optima…Reflected mean-field backward stochastic differential equations. Approximation and associated nonlinear PDEs (2013)Reflected mean-field backward…Stochastic Differential Equations and Diffusion Processes (1983)Nonlinear Expectations, Nonlinear Evaluations and Risk Measures (2004)A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models (2005)Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Mean-field backward stochastic differential equations and related partial differential equations (2009)An intertemporal asset pricing model with stochastic consumption and investment opportunities (1979)Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework (1989)Consumption and Portfolio Decisions when Expected Returns are Time Varying (1999)Asset Pricing at the Millennium (2000)Robust Portfolio Rules and Asset Pricing (2004)Brownian Motion and Stochastic Calculus (2007)Controlled Diffusion Processes (1980)A General Stochastic Maximum Principle for Optimal Control Problems (1990)Filtration-consistent nonlinear expectations and related g-expectations (2002)Second‐order backward stochastic differential equations and fully nonlinear parabolic PDEs (2006)Continuous Martingales and Brownian Motion (1999)Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob–Meyers type (1999)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)Stochastic Differential Equations (2014)The Pricing of Options and Corporate Liabilities (1973)Backward stochastic differential equations and partial differential equations with quadratic growth (2000)Theory of rational option pricing (2005)Partial Differential Equations (2010)Two Person Zero-Sum Game in Weak Formulation and Path Dependent Bellman--Isaacs Equation (2014)Leader–follower stochastic differential game with asymmetric information and applications (2015)Portfolio Optimization with Ambiguous Correlation and Stochastic Volatilities (2016)ANTICIPATED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 1 (2012)G-Brownian Motion and Dynamic Risk Measure under Volatility Uncertainty (2007)Quadratic BSDEs driven by a continuous martingale and applications to the utility maximization problem (2008)Representation of the penalty term of dynamic concave utilities (2009)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (2000)Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications (2011)
this work references cited by second hop

References

  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 1992Stochastic Differential Utility1,165 cited
  • 1997Reflected solutions of backward SDE's, and related obstacle problems for PDE's704 cited
  • 1997Backward stochastic differential equations and integral-partial differential equations538 cited
  • 1996Backward stochastic differential equations with reflection and Dynkin games321 cited
  • 1992A Generalized dynamic programming principle and hamilton-jacobi-bellman equation296 cited
  • 2008Stochastic Differential Games and Viscosity Solutions of Hamilton–Jacobi–Bellman–Isaacs Equations200 cited
  • 2007Stochastic Differential Games and Viscosity Solutions of Hamilton-Jacobi-Bellman-Isaacs Equations166 cited
  • 2000A Converse Comparison Theorem for BSDEs and Related Properties of g-Expectation157 cited
  • 2000Reflected BSDEs and mixed game problem136 cited

Cited by

  • 2014Probabilistic interpretation for a system of quasilinear parabolic partial differential equation combined with algebra equations37 cited
  • 2014A Stochastic Recursive Optimal Control Problem Under the G-expectation Framework35 cited
  • 2013Reflected mean-field backward stochastic differential equations. Approximation and associated nonlinear PDEs

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28 cited