Dynamic programming principle and Hamilton-Jacobi-Bellman equation under nonlinear expectation
DOI10.1051/cocv/2022019zbMath1492.93199arXiv2106.02814OpenAlexW3168988147WikidataQ114011477 ScholiaQ114011477MaRDI QIDQ5864584
Xiaojuan Li, Shaolin Ji, Ming Shang Hu
Publication date: 8 June 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.02814
Hamilton-Jacobi-Bellman equationbackward stochastic differential equationdynamic programming principlestochastic recursive optimal control
Dynamic programming in optimal control and differential games (49L20) Optimal stochastic control (93E20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Hamilton-Jacobi equations in optimal control and differential games (49L12)
Cites Work
- Unnamed Item
- Unnamed Item
- Quasi-continuous random variables and processes under the \(G\)-expectation framework
- Dynamic programming principle for stochastic recursive optimal control problem driven by a \(G\)-Brownian motion
- Probabilistic interpretation of a coupled system of Hamilton-Jacobi-Bellman equations
- Wellposedness of second order backward SDEs
- Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
- Probabilistic interpretation for a system of quasilinear parabolic partial differential equation combined with algebra equations
- A theoretical framework for the pricing of contingent claims in the presence of model uncertainty
- On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
- Forward-backward stochastic differential equations and their applications
- Solving forward-backward stochastic differential equations explicitly -- a four step scheme
- Backward stochastic differential equations driven by \(G\)-Brownian motion
- Comparison theorem, Feynman-Kac formula and Girsanov transformation for BSDEs driven by \(G\)-Brownian motion
- Ambiguous volatility, possibility and utility in continuous time
- Nonlinear expectations and nonlinear Markov chains
- Controlled Markov processes and viscosity solutions
- Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
- Optimal Investment under Model Uncertainty in Nondominated Models
- Two Person Zero-Sum Game in Weak Formulation and Path Dependent Bellman--Isaacs Equation
- Optimal Control Problems of Fully Coupled FBSDEs and Viscosity Solutions of Hamilton--Jacobi--Bellman Equations
- Stochastic Differential Games and Viscosity Solutions of Hamilton–Jacobi–Bellman–Isaacs Equations
- A Generalized dynamic programming principle and hamilton-jacobi-bellman equation
- User’s guide to viscosity solutions of second order partial differential equations
- Backward Stochastic Differential Equations in Finance
- The Existence and Uniqueness of Viscosity Solution to a Kind of Hamilton--Jacobi--Bellman Equation
- Nonlinear Expectations and Stochastic Calculus under Uncertainty
- ROBUST UTILITY MAXIMIZATION IN NONDOMINATED MODELS WITH 2BSDE: THE UNCERTAIN VOLATILITY MODEL
- Dynamic Programming for General Linear Quadratic Optimal Stochastic Control with Random Coefficients
This page was built for publication: Dynamic programming principle and Hamilton-Jacobi-Bellman equation under nonlinear expectation