Comparisons for backward stochastic differential equations on Markov chains and related no-arbitrage conditions
From MaRDI portal
Publication:2268728
DOI10.1214/09-AAP619zbMath1195.60077arXiv0810.0055OpenAlexW3101925067MaRDI QIDQ2268728
Robert J. Elliott, Samuel N. Cohen
Publication date: 8 March 2010
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.0055
Markov chainscomparison theorembackward stochastic differential equationnonlinear expectationdynamic risk measures
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic models in economics (91B70)
Related Items (45)
Optimal mean-variance reinsurance and investment strategy with constraints in a non-Markovian regime-switching model ⋮ On the Monotone Stability Approach to BSDEs with Jumps: Extensions, Concrete Criteria and Examples ⋮ A stochastic maximum principle for a Markov regime-switching jump-diffusion model with delay and an application to finance ⋮ Backward stochastic differential equations with regime-switching and sublinear expectations ⋮ Backward stochastic differential equation driven by a marked point process: an elementary approach with an application to optimal control ⋮ Backward Stochastic Difference Equations with Finite States ⋮ Backward stochastic differential equations with Markov chains and related asymptotic properties ⋮ Mean-field backward stochastic differential equations in general probability spaces ⋮ Backward stochastic Volterra integral equations on Markov chains ⋮ Sufficient Stochastic Maximum Principle for the Optimal Control of Semi-Markov Modulated Jump-Diffusion with Application to Financial Optimization ⋮ A maximum principle for Markov regime-switching forward-backward stochastic differential games and applications ⋮ Time-Coherent Risk Measures for Continuous-Time Markov Chains ⋮ Anticipated backward stochastic differential equations on Markov chains ⋮ LOCAL RISK-MINIMIZATION UNDER MARKOV-MODULATED EXPONENTIAL LÉVY MODEL ⋮ Stochastic differential games for optimal investment problems in a Markov regime-switching jump-diffusion market ⋮ Maximum principles of Markov regime-switching forward-backward stochastic differential equations with jumps and partial information ⋮ Markov chains under nonlinear expectation ⋮ Risk‐sensitive maximum principle for stochastic optimal control of mean‐field type Markov regime‐switching jump‐diffusion systems ⋮ Open-loop equilibrium strategy for mean-variance portfolio selection with investment constraints in a non-Markovian regime-switching jump-diffusion model ⋮ Backward stochastic differential equations associated to jump Markov processes and applications ⋮ Ong−evaluations with domains under jump filtration ⋮ Anticipated BSDEs driven by a single jump process ⋮ Mean-variance portfolio selection under a non-Markovian regime-switching model ⋮ Stochastic control for BSDEs and ABSDEs with Markov chain noises ⋮ Fully coupled forward-backward stochastic differential equations on Markov chains ⋮ A framework of BSDEs with stochastic Lipschitz coefficients ⋮ Backward stochastic differential equations with Markov chains and associated PDEs ⋮ On nonlinear expectations and Markov chains under model uncertainty ⋮ Maximum principle for Markov regime-switching forward-backward stochastic control system with jumps and relation to dynamic programming ⋮ Infection time in multistable gene networks. A backward stochastic variational inequality with nonconvex switch-dependent reflection approach ⋮ \(L^p\) solution of backward stochastic differential equations driven by a marked point process ⋮ Existence, uniqueness and comparisons for BSDEs in general spaces ⋮ Undiscounted Markov Chain BSDEs to Stopping Times ⋮ Discrete-Time BSDEs with Random Terminal Horizon ⋮ A general theory of finite state backward stochastic difference equations ⋮ BSDEs with regime switching: weak convergence and applications ⋮ A general comparison theorem for backward stochastic differential equations ⋮ Backward Stochastic Differential Equations for a Single Jump Process ⋮ Time-dynamic evaluations under non-monotone information generated by marked point processes ⋮ On anticipated backward stochastic differential equations with Markov chain noise ⋮ Mean-Variance Portfolio Selection under a Non-Markovian Regime-Switching Model: Time-Consistent Solutions ⋮ A Probabilistic Approach to Extended Finite State Mean Field Games ⋮ Weak necessary and sufficient stochastic maximum principle for Markovian regime-switching diffusion models ⋮ A STOCHASTIC CONTROL APPROACH TO BID-ASK PRICE MODELLING ⋮ Backward stochastic differential equations with Markov switching driven by Brownian motion and Poisson random measure
Cites Work
- Mathematics of financial markets.
- Risk measures via \(g\)-expectations
- A survey of product-integration with a view toward application in survival analysis
- Coherent Measures of Risk
- Solutions of Backward Stochastic Differential Equations on Markov Chains
- Backward Stochastic Differential Equations in Finance
- Stochastic finance. An introduction in discrete time
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Comparisons for backward stochastic differential equations on Markov chains and related no-arbitrage conditions