On randomized stopping

Mathematics – Probability

Scientific paper

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Published in at http://dx.doi.org/10.3150/07-BEJ108 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/07-BEJ108

A general result on the method of randomized stopping is proved. It is
applied to optimal stopping of controlled diffusion processes with unbounded
coefficients to reduce it to an optimal control problem without stopping. This
is motivated by recent results of Krylov on numerical solutions to the Bellman
equation.

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