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arXiv:0707.0100 [math.OC]AbstractReferencesReviewsResources

On the One-Dimensional Optimal Switching Problem

Erhan Bayraktar, Masahiko Egami

Published 2007-07-01, updated 2009-05-25Version 3

We explicitly solve the optimal switching problem for one-dimensional diffusions by directly employing the dynamic programming principle and the excessive characterization of the value function. The shape of the value function and the smooth fit principle then can be proved using the properties of concave functions.

Comments: Keywords: Optimal switching problem, optimal stopping problem, It\^{o} diffusions
Categories: math.OC, math.PR
Subjects: 60G40, 60J60
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