1. On randomized stopping
- Author
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Istvan Gyongy and David Šiška
- Subjects
Statistics and Probability ,Probability (math.PR) ,Optimal control ,controlled diffusion processes ,optimal stopping ,Optimization and Control (math.OC) ,Bellman equation ,FOS: Mathematics ,Applied mathematics ,Optimal stopping ,Diffusion (business) ,Mathematics - Optimization and Control ,Mathematics - Probability ,Mathematics - Abstract
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., Comment: Published in at http://dx.doi.org/10.3150/07-BEJ108 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
- Published
- 2008
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