A unified approach to well-posedness of type-I backward stochastic Volterra integral equations
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Publication:2042823
DOI10.1214/21-EJP653zbMath1470.45021arXiv2007.12258MaRDI QIDQ2042823
Dylan Possamaï, Camilo Hernández
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.12258
time inconsistencybackward stochastic Volterra integral equationsequilibrium Hamilton-Jacobi-Bellman equationconsistent planningrepresentation of partial differential equations
Volterra integral equations (45D05) Stochastic integral equations (60H20) Random integral equations (45R05)
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Cites Work
- Mean-field backward stochastic Volterra integral equations
- On time-inconsistent stochastic control in continuous time
- Adapted solution of a backward stochastic differential equation
- Investment and consumption without commitment
- Well-posedness and regularity of backward stochastic Volterra integral equations
- On solutions of backward stochastic Volterra integral equations with jumps in Hilbert spaces
- Symmetrical solutions of backward stochastic Volterra integral equations and their applications
- Volterra equations driven by semimartingales
- Conjugate convex functions in optimal stochastic control
- A unified approach to a priori estimates for supersolutions of BSDEs in general filtrations
- Backward stochastic Volterra integral equations with additive perturbations
- Linear Volterra backward stochastic integral equations
- An optimal control problem of forward-backward stochastic Volterra integral equations with state constraints
- Time-inconsistent optimal control problems and the equilibrium HJB equation
- Approximating Bochner integrals by Riemann sums
- The golden rule when preferences are time inconsistent
- \(L^p\) solutions of backward stochastic Volterra integral equations
- Comparison theorems for some backward stochastic Volterra integral equations
- Backward doubly stochastic Volterra integral equations and their applications
- Extended backward stochastic Volterra integral equations and their applications to time-inconsistent stochastic recursive control problems
- Backward stochastic Volterra integral equations -- representation of adapted solutions
- Path-dependent backward stochastic Volterra integral equations with jumps, differentiability and duality principle
- On a class of backward stochastic Volterra integral equations
- Optimal control problems of forward-backward stochastic Volterra integral equations
- Backward stochastic Volterra integral equations and some related problems
- Multidimensional diffusion processes.
- Stochastic Volterra equations with anticipating coefficients
- Discretization of backward stochastic Volterra integral equations
- Regularity of Backward Stochastic Volterra Integral Equations in Hilbert Spaces
- Continuous-time dynamic risk measures by backward stochastic Volterra integral equations
- NON-LIPSCHITZ BACKWARD STOCHASTIC VOLTERRA TYPE EQUATIONS WITH JUMPS
- Maximum principle and dynamic programming approaches of the optimal control of partially observed diffusions
- Optimal locally absolutely continuous change of measure. finite set of decisions. part i
- Optimal locally absolutely continuous change of measure. finite set of decisions. part ii:optimization problems
- Adapted solution of a backward semilinear stochastic evolution equation
- Backward Stochastic Differential Equations in Finance
- Adapted solution of a backward stochastic nonlinear Volterra integral equation
- DIFFERENTIABILITY OF BSVIEs AND DYNAMIC CAPITAL ALLOCATIONS
- Time-Inconsistent Recursive Stochastic Optimal Control Problems
- Optimal control of forward-backward stochastic Volterra equations
- SOLVABILITY OF GENERAL BACKWARD STOCHASTIC VOLTERRA INTEGRAL EQUATIONS
- A class of time inconsistent risk measures and backward stochastic Volterra integral equations
- Backward stochastic Volterra integral equations with jumps in a general filtration
- Time-inconsistent stochastic optimal control problems and backward stochastic volterra integral equations
- New approach to optimal control of stochastic Volterra integral equations
- Backward Stochastic Differential Equations
- Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations with Closed Control Regions
- Linear quadratic control problems of stochastic Volterra integral equations
- Dynamic risk measure for BSVIE with jumps and semimartingale issues
- Dynamic Programming Conditions for Partially Observable Stochastic Systems
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