On controlled linear diffusions with delay in a model of optimal advertising under uncertainty with memory effects
From MaRDI portal
Publication:1035927
DOI10.1007/s10957-009-9524-5zbMath1175.90245arXivmath/0701580OpenAlexW2017065796MaRDI QIDQ1035927
Publication date: 4 November 2009
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701580
dynamic programmingoptimal advertisinginfinite-dimensional Bellman equationsstochastic control problems with delay
Related Items (27)
Stochastic Control Problems with Unbounded Control Operators: Solutions Through Generalized Derivatives ⋮ Systemic risk and stochastic games with delay ⋮ Verification theorems for stochastic optimal control problems in Hilbert spaces by means of a generalized Dynkin formula ⋮ Optimal control for stochastic delay evolution equations ⋮ A class of infinite-horizon stochastic delay optimal control problems and a viscosity solution to the associated HJB equation ⋮ An infinite time horizon portfolio optimization model with delays ⋮ A dynamic advertising model with reference price effect ⋮ Optimal control of stochastic functional neutral differential equations with time lag in control ⋮ Unnamed Item ⋮ Linear-quadratic stochastic delayed control and deep learning resolution ⋮ Recent developments in dynamic advertising research ⋮ Existence and uniqueness of optimal dynamic pricing and advertising controls without concavity ⋮ Optimal stopping of stochastic differential equations with delay driven by Lévy noise ⋮ Nonlinear continuous semimartingales ⋮ Stochastic Optimal Control with Delay in the Control I: Solving the HJB Equation through Partial Smoothing ⋮ Stochastic Optimal Control with Delay in the Control II: Verification Theorem and Optimal Feedbacks ⋮ The Theory of Optimal Stochastic Control as Applied to Insurance Underwriting Cycles ⋮ Stochastic optimal control problem in advertising model with delay ⋮ A stochastic control problem with delay arising in a pension fund model ⋮ International borrowing without commitment and informational lags: choice under uncertainty ⋮ Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations ⋮ Delayed effects of cooperative advertising in goodwill dynamics ⋮ Recurrent neural networks for stochastic control problems with delay ⋮ Stochastic maximum principle for problems with delay with dependence on the past through general measures ⋮ Crandall-Lions viscosity solutions for path-dependent PDEs: the case of heat equation ⋮ Finite-dimensional representations for controlled diffusions with delay ⋮ Optimal control for stochastic delay systems under model uncertainty: a stochastic differential game approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kolmogorov equations for stochastic PDEs.
- Second order parabolic Hamilton-Jacobi-Bellman equations in Hilbert spaces and stochastic control: \(L^{2}_{\mu}\) approach
- Optimal control of a class of systems with continuous lags: Dynamic programming approach and economic interpretations
- Optimal dynamic advertising policies for hereditary processes
- A remark on regularization in Hilbert spaces
- Competitive advertising under uncertainty: a stochastic differential game approach
- Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control
- Infinite horizon backward stochastic differential equations and elliptic equations in Hilbert spaces.
- Generalized directional gradients, backward stochastic differential equations and mild solutions of semilinear parabolic equations
- Some Solvable Stochastic Control Problems With Delay
- The Infinite Time Quadratic Control Problem for Linear Systems with State and Control Delays: An Evolution Equation Approach
- Dynamic Optimal Control Models in Advertising: Recent Developments
- Foundations of Modern Probability
- Dynamic programming in stochastic control of systems with delay
- When Are HJB-Equations in Stochastic Control of Delay Systems Finite Dimensional?
- Ergodicity for Infinite Dimensional Systems
This page was built for publication: On controlled linear diffusions with delay in a model of optimal advertising under uncertainty with memory effects