Linear-quadratic optimal control problems for mean-field stochastic differential equations — time-consistent solutions
DOI10.1090/tran/6502zbMath1361.93070arXiv1304.3964OpenAlexW2964068907MaRDI QIDQ5347269
Publication date: 23 May 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.3964
Lyapunov equationlinear-quadratic optimal controlRiccati equationequilibrium solutionmean-field stochastic differential equationtime-inconsistency\(N\)-person differential games
Differential games and control (49N70) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Optimal stochastic control (93E20) Linear-quadratic optimal control problems (49N10)
Related Items (58)
Cites Work
- Unnamed Item
- Control of McKean-Vlasov dynamics versus mean field games
- A theory of Markovian time-inconsistent stochastic control in discrete time
- Deterministic time-inconsistent optimal control problems -- an essentially cooperative approach
- A deterministic linear quadratic time-inconsistent optimal control problem
- Non-constant discounting and differential games with random time horizon
- Mean-field backward stochastic differential equations and related partial differential equations
- Investment and consumption without commitment
- Time-inconsistent preferences in a general equilibrium model
- The recursive approach to time inconsistency
- Consumption and portfolio rules for time-inconsistent investors
- Forward-backward stochastic differential equations and their applications
- Time-consistent policies
- Time-inconsistent optimal control problems and the equilibrium HJB equation
- The golden rule when preferences are time inconsistent
- Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations
- Time-Inconsistent Stochastic Linear--Quadratic Control
- Stochastic Differential Equations with Nonlocal Sample Dependence
- Consistent Plans
- Golden Eggs and Hyperbolic Discounting
- Time-Consistent Portfolio Management
- McKean–Vlasov Limit in Portfolio Optimization
- MEAN–VARIANCE PORTFOLIO OPTIMIZATION WITH STATE‐DEPENDENT RISK AVERSION
This page was built for publication: Linear-quadratic optimal control problems for mean-field stochastic differential equations — time-consistent solutions