An algorithm based on an iterative optimal stopping method for Feller processes with applications to impulse control, perturbation, and possibly zero random discount problems
DOI10.1016/j.cam.2022.114864zbMath1498.60160OpenAlexW4303520555MaRDI QIDQ2095165
Suhang Dai, Olivier Menoukeu Pamen
Publication date: 9 November 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114864
Hamilton-Jacobi-Bellman equationoptimal stoppingviscosity solutionsFeller processiterative optimal stopping
Probabilistic models, generic numerical methods in probability and statistics (65C20) Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Stopping times; optimal stopping problems; gambling theory (60G40) Transition functions, generators and resolvents (60J35)
Cites Work
- Unnamed Item
- Optimal dividend and capital injection problem in the dual model with proportional and fixed transaction costs
- A comparison of iterated optimal stopping and local policy iteration for American options under regime switching
- Risk sensitive impulse control of non-Markovian processes
- Existence and uniqueness of viscosity solutions for QVI associated with impulse control of jump-diffusions
- Infinite horizon stopping problems with (nearly) total reward criteria
- Pricing American options for jump diffusions by iterating optimal stopping problems for diffusions
- Optimal stopping and perpetual options for Lévy processes
- Stochastic impulse control with regime-switching dynamics
- Viscosity solution and impulse control of the diffusion model with reinsurance and fixed transaction costs
- On the solution of general impulse control problems using superharmonic functions
- An impulse control of a geometric Brownian motion with quadratic costs
- Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
- A General Verification Result for Stochastic Impulse Control Problems
- A Finite Time Horizon Optimal Stopping Problem with Regime Switching
- Impulse Control of Multidimensional Jump Diffusions
- Solving Problems of Optimal Stopping with Linear Costs of Observations
- Smooth Fit Principle for Impulse Control of Multidimensional Diffusion Processes
- On the Optimal Stochastic Impulse Control of Linear Diffusions
- A Direct Solution Method for Stochastic Impulse Control Problems of One-dimensional Diffusions
- User’s guide to viscosity solutions of second order partial differential equations
- Optimal Stopping of Regular Diffusions under Random Discounting
- Optimal Consumption and Portfolio with Both Fixed and Proportional Transaction Costs
- On additive time-changes of Feller processes
- STOCK LOANS
- Applied stochastic control of jump diffusions
- Double continuation regions for American options under Poisson exercise opportunities
This page was built for publication: An algorithm based on an iterative optimal stopping method for Feller processes with applications to impulse control, perturbation, and possibly zero random discount problems