Continuous and impulse controls differential game in finite horizon with Nash-equilibrium and application
DOI10.1016/j.cam.2022.115009zbMath1518.91018arXiv2208.01423MaRDI QIDQ6098966
Publication date: 19 June 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01423
viscosity solutiondiscrete approximationimpulse controlzero-sum differential gameNash-equilibriumcontinuous-time portfolio optimization
Noncooperative games (91A10) Dynamic programming in optimal control and differential games (49L20) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Portfolio theory (91G10) Impulsive optimal control problems (49N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimum consumption and portfolio rules in a continuous-time model
- Deterministic impulse control problems: two discrete approximations of the quasi-variational inequality
- On classical and restricted impulse stochastic control for the exchange rate
- A numerical approach to the infinite horizon problem of deterministic control theory
- Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
- Impulsive optimal control with finite or infinite time horizon
- Approximate solutions of the Bellman equation of deterministic control theory
- Stochastic impulse control problem with state and time dependent cost functions
- Continuous-time stochastic control and optimization with financial applications
- On a discrete approximation of the Hamilton-Jacobi equation of dynamic programming
- On a class of optimal control problems with state jumps
- Analysis and approximation of the infinite-horizon problem with impulsive controls
- Zero-sum differential games involving impulse controls
- Viscosity solutions of Hamilton-Jacobi equations
- Portfolio optimisation with strictly positive transaction costs and impulse control
- Quality effects in different advertising models -- an impulse control approach
- Deterministic minimax impulse control
- Zero-sum stochastic differential game in finite horizon involving impulse controls
- Nonzero-sum stochastic differential games between an impulse controller and a stopper
- Sampled-data Nash equilibria in differential games with impulse controls
- Nash equilibria in nonzero-sum differential games with impulse control
- A zero-sum stochastic differential game with impulses, precommitment, and unrestricted cost functions
- Controlled Markov processes and viscosity solutions
- Zero-sum differential games involving hybrid controls
- Differential games with continuous, switching and impulse controls
- Stochastic Differential Games Involving Impulse Controls and Double-Obstacle Quasi-variational Inequalities
- Max-min representations and product formulas for the viscosity solutions of Hamilton-Jacobi equations with applications to differential games
- Stochastic differential games involving impulse controls
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- An Efficient Policy Iteration Algorithm for Dynamic Programming Equations
- Some Convergence Results for Howard's Algorithm
- On Deterministic Control Problems: An Approximation Procedure for the Optimal Cost I. The Stationary Problem
- On Deterministic Control Problems: an Approximation Procedure for the Optimal Cost II. The Nonstationary Case
- Deterministic Impulse Control Problems
- Viscosity Solutions of Hamilton-Jacobi Equations
- Optimal Impulse Control of Portfolios
- Impulse control of portfolios with jumps and transaction costs
- User’s guide to viscosity solutions of second order partial differential equations
- Cauchy Problems for Certain Isaacs-Bellman Equations and Games of Survival
- Approximation of control problems involving ordinary and impulsive controls
- Deterministic minimax impulse control in finite horizon: the viscosity solution approach
- Nonzero-Sum Stochastic Games and Mean-Field Games with Impulse Controls
- Nonzero-Sum Stochastic Differential Games with Impulse Controls: A Verification Theorem with Applications
- Quant GANs: deep generation of financial time series
- Degenerate First-Order Quasi-variational Inequalities: An Approach to Approximate the Value Function
- The existence of value in differential games
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
This page was built for publication: Continuous and impulse controls differential game in finite horizon with Nash-equilibrium and application