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Xiongzhi Chen (2008)
Brownian Motion and Stochastic Calculus
P. Moerbeke (1973)
On optimal stopping and free boundary problemsArchive for Rational Mechanics and Analysis, 60
D. Kennedy (1982)
On a constrained optimal stopping problemJournal of Applied Probability, 19
O. Bokanowski, A. Picarelli, H. Zidani (2016)
State-Constrained Stochastic Optimal Control Problems via Reachability ApproachSIAM J. Control. Optim., 54
G. Peskir (2012)
Optimal detection of a hidden target: The median ruleStochastic Processes and their Applications, 122
J. Pedersen, G. Peskir (2016)
Optimal mean–variance selling strategiesMathematics and Financial Economics, 10
B. Bouchard, R. Élie, C. Imbert (2009)
Optimal Control under Stochastic Target ConstraintsSIAM J. Control. Optim., 48
Jan Palczewski, L. Stettner (2014)
Infinite horizon stopping problems with (nearly) total reward criteriaStochastic Processes and their Applications, 124
H. Soner, N. Touzi (2002)
Stochastic Target Problems, Dynamic Programming, and Viscosity SolutionsSIAM J. Control. Optim., 41
B. Bouchard, R. Élie, N. Touzi (2009)
Stochastic Target Problems with Controlled LossSIAM J. Control. Optim., 48
Christopher Miller (2015)
Nonlinear PDE Approach to Time-Inconsistent Optimal StoppingSIAM J. Control. Optim., 55
M. Horiguchi (2001)
Markov decision processes with a stopping time constraintMathematical Methods of Operations Research, 53
(2011)
Weakdynamic programmingprinciple for viscosity solutions
We consider the problem of optimally stopping a continuous-time process with a stopping time satisfying a given expectation cost constraint. We show, by introducing a new state variable, that one can transform the problem into an unconstrained control problem and hence obtain a dynamic programming principle. We characterize the value function in terms of the dynamic programming equation, which turns out to be an elliptic, fully non-linear partial differential equation of second order. We prove a classical verification theorem and illustrate its applicability with several examples.
Applied Mathematics and Optimization – Springer Journals
Published: Jun 10, 2017
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